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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4196
Intelligent Vehicle Control System
Himanshu Singh1, Varsha Singh2
1B.Tech, G.B.Pant University of Agriculture & Technology
2Assistant Divisional Electrical Engineer, Indian Railways
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract – This paper proposes a novel method of haptic
shared control system using steering mechanism and braking
system. Haptic shared control achieves smooth collaboration
between humans and vehicles by facilitating mutual
communication and enhances drivers’ safety during manual
driving. The method proposed in the paper is asimpleonethat
aims to reduce car crashes and accidentsby giving feedbackto
the human driver in the form of sense of touch. Various
existing driver assistance systems have also been discussed.
Key Words: Haptic Control, Advanced Driver Assistance
System, Advanced Emergency Braking System, Lane
Departure Warning System, Parking Assistance System,
Cooperative States, Steering
1. INTRODUCTION
India is expected to emerge as the world’s third largest
passenger vehicle market by2021.Currently,theautomotive
sectorcontributes morethan7percenttoIndia’sGDPandthe
Automotive Mission Plan 2016–26 has set an aspiration to
increase this contributionto12percent.However,therewere
about 500 thousands road accidents in 2015. Majority of
these (more than 70 percent)were caused duetothedriver’s
fault. This includes overspeeding,drivingundertheinfluence
of alcohol etc. The rate of rise in vehicles’ population has far
exceeded the rate of expansion of road network in past few
decades, creating a massive pressure on the roads. This
necessitates frequentsteeringandapplicationofbrakes.Such
frequent steering and braking reduce the average speed at
which vehicles ply on the roads, raising cost per kilometer
and increasing carbon emissions. Therefore India is in dire
need of safe driver assistance systems designed to prevent
road accidents. Congestion prevention cannot be merely
achieved by the construction of new roadways but through
the control of vehicles and traffic flow to increase the
practical capacity of the roads.
Driver assistance systems have been developed to
warn drivers of the impending dangers so that he/she may
take necessary action in timeto prevent major accidents and
casualties. A variety of approaches, ranging from fully
autonomous systems to the ones using shared control, have
been adopted. However, a system which is fully autonomous
has not proved very effective, as evidenced by the crash of
autonomous cars in countries like US. It is due to limitations
and idiosyncrasies of existent technologies like LiDAR based
vision and GPS. Hence, humans with their superior senses of
vision and information processing capability can in
collaboration with autonomous systems fill in for the gaps in
technology. Humans are generally better than machines in
taking decisions in dynamic environment. Such a dynamic
environment is often encountered in driving. However, the
ability toact upon those decisions may be limitedbywhether
or not the human driver is fully awake or alert or whether
he/she possesses the required physical strength. This is
where the shared control of vehicle betweenthehumansand
autonomous control systems comes into picture.
Haptic Control involves using sense of touch as an
indicatorand input to control somemechanism. This control
is of utmost importance in road vehicles, especially cars,
buses and other public transport meanswhicharecontrolled
usingsteering wheels. On these steeringwheels,aforceisfelt
by the driver every time he/she negotiates a turn. The force
on the steering wheel varies with different parameters such
as current speed, angle of turn, banking of the road, height of
centre of gravity of the vehicle etc. In order to be able to steer
properly, there must be somemechanismoracontrolsystem
that works alongside humans in collaboration.
In this paper we have first introduced the systems
that have been launched in the market worldwide for the
safety of car drivers. We then propose a novel controlsystem
of the vehicle based on the intelligent control of steering and
braking systems.
2. ADVANCED DRIVER ASSISTANCE SYSTEM
Driver assistance system is an umbrella term used for all the
technologies employed for assisting the driver in danger
recognition, decision making and operation. These systems
use technologies that alert the drivers about potential
problems to avoid the accidents and collisions. The various
driver assistance systems that are available in the market
include adaptive cruise control, lane departure warning
system, forward collision warning system, emergency brake
assist system and parking assistance system.
2.1 Adaptive Cruise Control
This advanced driver assistance technology is especially
useful on the highway, where a vehicle automatically slows
down or speeds up in response to the actions of thevehiclein
front of it in order to maintain safe distance from it. This
greatly improves driver safety and convenience as well as
increases capacity of roads by maintaining optimal
separation between vehicles and reducing driver errors.
Inter-vehicle distance is often measured by using lidar.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4197
However it fails to measure the distance accurately in
adverse weather condition or when the leading vehicle is
dirty. Radar based systems have slightly lower directional
resolution than lidar but theycan be usedinadverseweather
conditions.
2.2 Lane Departure Warning System
Lane departure warning system is a mechanism designed to
prevent the driver from moving out ofitslane.Thesesystems
address the main causes of collisions: driver error,
distractions and drowsiness. There are three types of
systems:
• Lane Departure Warning, LDW: Systems which
warn the driver if the vehicle is departing from its
lane. The driver is then responsible for taking
corrective actions.
• Lane Keeping Assist, LKA/LKS: Systems which
warn the driver and, with no response,
automatically applies torque on the steering wheel
to ensure the vehicle stays in its lane.
• Lane Centering Assist, LCA: The most invasive
technology which keeps the car centered in the
lane.
2.3 Forward Collision Warning System
Forward collision warning system warns the drivers in the
event of an imminent frontal crash. When the vehicle comes
too close to another vehicle in front of it, a visual, audible,
and/or tactile signal occurs to alertthedriverofthesituation.
The system uses sensors to detect slower-moving or
stationary vehicles. When the distance becomessoshortthat
a crash is imminent, a signal alerts the driver so that he can
apply the brakes or take evasive action, such as steering, to
prevent a potential crash.
2.4 Emergency Brake Assist System
Emergency brake assist system is designed to provide
additional braking force to a drive in case of an emergency
situation. It falls into two main categories: electronic and
mechanical.
Electronic brake assist systems use an electronic
control unit to compare instances of braking to pre-set
threshold limit. If a driver has pushed down the brake hard
enough and fast enough to surpass this threshold,thecontrol
unit will see it as an emergency situation and boost braking
power. These systems are adaptable and they compile
information on braking style and change the thresholds to
ensure the highest accuracy in an emergency situation.
Mechanicalsystemsalso use pre-setthresholds,buttheseare
set mechanically which means that they are not adaptable to
individual drivers. These systems include a locking
mechanism that gets activated when the brake pedal is
pushed beyond a critical point. Once this threshold is passed,
the locking mechanism switches the sourceofbrakingpower
from the brake piston valve to the brake booster, which
supplies the braking assistance.
2.5 Parking Assistance System
Parking assistance systemreferstoanautomatedparkingaid
which utilizes radar technology, cameras and sensors. It
allows the car to do most of the work itself whenparkinginto
a spot. The system informs the driver if it detects a suitable
parallel or perpendicular parking space. When activated, the
system calculates the best way of approaching the gap, the
steering maneuvers required and the number of moves
involved.
3. PROPOSED MODEL
Figure 1: Instantaneous position of various variables
In the diagram, let a and b be the angles that front wheels
make with respect to the line joining thehingesofthewheels.
As can be seen, there is an instantaneous centre of rotation
formed by the intersection of the lines perpendicular to all
the four wheels. The x-coordinateofthiscentreisshownasA.
Let xot be the x-coordinateofinstantaneouscentreofrotation
at any instant of time. There is alsoa radius ofcurvature,r,as
the distance between the instantaneous center and the
midpoint of the width of rear left tyre. It is assumed that the
vehicle is moving at the constantvelocity,v,whilemakingthe
turn. Let xt be the x-coordinate of the midpoint of rear left
wheel. This serves as the good indicator of vehicle’s position
in the x-y plane.
For setting the origin of the coordinate-system, the
left limit of the lane will always be chosenbytheautonomous
system as shown in the diagram. At all times, it is assumed
that perfect steering takes place and that there is no slipping
of the tyres at any instant. For a perfect steering, the
following relationship must always be satisfied:
cot(b)-cot(a)=w/l
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4198
where w=width of chassis, and l=length between centres
of corresponding front and rear wheels.
Figure 2: Schematic Diagram of lane and vehicle
Now b and a, and hence, r depend upon angle Θ given to the
steering wheel mechanism. Now, Θ could be any function of
time,t. Thus, r, in turn, is a function of time. β is the angle
turned by the vehicle with respect to the horizontal about its
centre of mass at any instant of time. β is also a function of
time.
Mathematically,
r= n(t);
Θ=g(t);
β=m(t);
Let at any instant of time t, radius be r and angle of rotation
about centre of mass be β. Then in infinitesimal time dt, the
change dβ would be related by the following equation:
vdt= r dβ;
Integrating both sides,
t∫0v/rdt= β∫0 dβ; This gives, β= t∫0v/n(t)dt=m(t); (1) 1.
Similarly, let xot be the x-coordinate of instantaneous centre
at instant t and xt be the position of vehicle. Then for
infinitesimal change dt, we have:
xt +d xt= xot + rcos(β+ dβ); (2)
Simplifying,
xt +d xt = xot +r(cos(β).cos(dβ) – sin(dβ).sin(β));
for dβ, cos(dβ) =1 and sin(dβ)= dβ;
xt +d xt = xot +r(cos(β) – dβ.sin(β)); (3)
((r-(r+dr))( xt +d xt)+(r+dr)xot)/r = xot + d xot ; (4)
Simplifying and neglecting product of small quantities like
dr.dxt, we get:
(xot - xt)dr/r= dxot (5)
Solving (4) and (5) equations and using them, we get –
cos(β)dr=dxot
Or, -cos(m(t)).n’(t)dt=dxot.
Now, integrating both sides again within the correspoding
limits,
- t∫0cos(m(t)).n’(t)dt= xot –(xti - ri);
where xti is the initial vehicle position and ri is the initial
radius of curvature at time, t=0; Thus, xot= F(t); (6)
Then, xt is given by the relation, xt = n(t).cos(m(t)) + F(t)=
G(t); (7)
Let Δtu be the constant time interval after which the
electronic system takes the update of the state of the
vehicle(basically, xt and Θ). Also, let Δtsmin be the minimum
stopping time required for the vehicle to come to halt if it is
moving at speed v without jeopardising its stabilty.
It is proposed that the onboardcomputercalculatetheactual
time to collision at any instant t using the vehicle’s current
position, xt, current radius of curvature, r, instantaneous
centre of rotation, xot and initial vehicleposition,xti usingthe
following formula that follows directly from the
acoompanying figure:
xt=xot + rcos(Ψ), which gives Ψ= cos-1((xt-xot)/r); (8)
and
0= xot + rcos(φ), which gives φ= cos-1(-xot/r); (9)
Ψ – φ = angle to be turned at current radius of curvature for
collision.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4199
If Δtsactual is the actual time to collision from current instant
of time, then it is given by the following relationship:
Δtsactual =( Ψ – φ).r/v (10)
Now, if Δtsactual > Δtsmin, then their difference is the leeway
available with the driver. He/she may rotate the steering
wheel in any direction. However, as the wheel is rotated,
there would be a change in the value of Θ. Such a value
change would be updated in the system and new Δtsactual
would be computed. For effective updation of the changes of
values , Δtu should be sufficiently small.
If in any case, Δtsactual = Δtsmin, brakes should be applied
immediately. In no case should Δtsactual decrease below the
level of Δtsmin.
Now, the driver should also be warned of the impending
dangers and must be assisted in decision-making regarding
the direction and magnitude ofangleΘhuman bywhichhe/she
turns the steering wheel. One way of doing this is by
communicating to the driver by means of torque applied on
the steering wheel by the electronic system. This is the
concept of haptic control wherein by means of sense of
touch,the information is beingconveyedtothehumandriver
regarding the magnitude and direction in which the correct
input has to be given. This system of haptic control should be
intuitive in order to enable the driver to be able to
manipulate the wheel effectively.
The information in the form of torque on the steering wheel
can be passed on to the human driver in an intuitive manner
if there is increase in the torque on the wheel with the
increase in magnitude of error. Let Θcorrect be the correct
angle calculated by the autonomous system at any given
instant of time based on speed v, currentx-coordinate,xtand
Δtsmin. The torque applied on steering wheel could be Tsw=
k. (Θhuman - Θcorrect); a ‘-‘ve torquewouldmeanitopposesthe
direction of Θ and a positive torque means it supports the
direction of Θ. ‘k’ is a positive constant.
Hence by selecting suitable values of k, Δtsmin and Δtu, the
model can be made to work.
4. CONCLUSIONS
From the above discussion it is clear that a system in which
there are various modes of communication between man
and machine leads to better management and efficient
outcomes. It is expected that the proposedmethodofcontrol
would result in the decrease of severe accidents and
fatalities. Also the cost of implementation of the system is
expected not to be too high. The approach of integrating
haptic control system with advanced braking system is
expected to be superior to the extant systems in which a
haptic control and advanced braking are considered as
separate. As the future work, we wish to implement an
internet of cars in which systems mounted on different
vehicles act as a single unit and coordinate each other’s
activities so that fatalities could be further reduced.
REFERENCES
[1] Ryota Nishimura, Takahiro Wada, and Seiji Sugiyama,
“Haptic Shared Control in Steering Operation Based on
Cooperative Status Between a Driver and a Driver
Assistance System”
[2] Wada, T., Nishimura, R.,&Sugiyama,S.(2013).Approach
to haptic guidance control in steering operation based
on cooperative states between driver and control
system. Human Interface and the Management of
Information: Information and Interaction for Health,
Safety, Mobility and Complex Environments,LNCS8017,
596–605. Springer.
[3] Abbink, D. A., & Mulder, M. (2009). Exploring the
dimensions of haptic feedback support in manual
control. ASME Journal of Computing and Information
Science in Engineering, 9(1), 011006.
[4] B. Soualmi, C. Sentouh, J.C. Popieul and S. Debernard, “A
shared Control Driving Assistance System: Interest of
using a Driver Model in both Lane Keeping and obstacle
Avoidance Systems” 12th IFAC Symposium on Analysis,
Design, and Evaluation of Human-Machine Systems
August 11-15, 2013. Las Vegas, NV, USA.

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IRJET- Intelligent Vehicle Control System

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4196 Intelligent Vehicle Control System Himanshu Singh1, Varsha Singh2 1B.Tech, G.B.Pant University of Agriculture & Technology 2Assistant Divisional Electrical Engineer, Indian Railways ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract – This paper proposes a novel method of haptic shared control system using steering mechanism and braking system. Haptic shared control achieves smooth collaboration between humans and vehicles by facilitating mutual communication and enhances drivers’ safety during manual driving. The method proposed in the paper is asimpleonethat aims to reduce car crashes and accidentsby giving feedbackto the human driver in the form of sense of touch. Various existing driver assistance systems have also been discussed. Key Words: Haptic Control, Advanced Driver Assistance System, Advanced Emergency Braking System, Lane Departure Warning System, Parking Assistance System, Cooperative States, Steering 1. INTRODUCTION India is expected to emerge as the world’s third largest passenger vehicle market by2021.Currently,theautomotive sectorcontributes morethan7percenttoIndia’sGDPandthe Automotive Mission Plan 2016–26 has set an aspiration to increase this contributionto12percent.However,therewere about 500 thousands road accidents in 2015. Majority of these (more than 70 percent)were caused duetothedriver’s fault. This includes overspeeding,drivingundertheinfluence of alcohol etc. The rate of rise in vehicles’ population has far exceeded the rate of expansion of road network in past few decades, creating a massive pressure on the roads. This necessitates frequentsteeringandapplicationofbrakes.Such frequent steering and braking reduce the average speed at which vehicles ply on the roads, raising cost per kilometer and increasing carbon emissions. Therefore India is in dire need of safe driver assistance systems designed to prevent road accidents. Congestion prevention cannot be merely achieved by the construction of new roadways but through the control of vehicles and traffic flow to increase the practical capacity of the roads. Driver assistance systems have been developed to warn drivers of the impending dangers so that he/she may take necessary action in timeto prevent major accidents and casualties. A variety of approaches, ranging from fully autonomous systems to the ones using shared control, have been adopted. However, a system which is fully autonomous has not proved very effective, as evidenced by the crash of autonomous cars in countries like US. It is due to limitations and idiosyncrasies of existent technologies like LiDAR based vision and GPS. Hence, humans with their superior senses of vision and information processing capability can in collaboration with autonomous systems fill in for the gaps in technology. Humans are generally better than machines in taking decisions in dynamic environment. Such a dynamic environment is often encountered in driving. However, the ability toact upon those decisions may be limitedbywhether or not the human driver is fully awake or alert or whether he/she possesses the required physical strength. This is where the shared control of vehicle betweenthehumansand autonomous control systems comes into picture. Haptic Control involves using sense of touch as an indicatorand input to control somemechanism. This control is of utmost importance in road vehicles, especially cars, buses and other public transport meanswhicharecontrolled usingsteering wheels. On these steeringwheels,aforceisfelt by the driver every time he/she negotiates a turn. The force on the steering wheel varies with different parameters such as current speed, angle of turn, banking of the road, height of centre of gravity of the vehicle etc. In order to be able to steer properly, there must be somemechanismoracontrolsystem that works alongside humans in collaboration. In this paper we have first introduced the systems that have been launched in the market worldwide for the safety of car drivers. We then propose a novel controlsystem of the vehicle based on the intelligent control of steering and braking systems. 2. ADVANCED DRIVER ASSISTANCE SYSTEM Driver assistance system is an umbrella term used for all the technologies employed for assisting the driver in danger recognition, decision making and operation. These systems use technologies that alert the drivers about potential problems to avoid the accidents and collisions. The various driver assistance systems that are available in the market include adaptive cruise control, lane departure warning system, forward collision warning system, emergency brake assist system and parking assistance system. 2.1 Adaptive Cruise Control This advanced driver assistance technology is especially useful on the highway, where a vehicle automatically slows down or speeds up in response to the actions of thevehiclein front of it in order to maintain safe distance from it. This greatly improves driver safety and convenience as well as increases capacity of roads by maintaining optimal separation between vehicles and reducing driver errors. Inter-vehicle distance is often measured by using lidar.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4197 However it fails to measure the distance accurately in adverse weather condition or when the leading vehicle is dirty. Radar based systems have slightly lower directional resolution than lidar but theycan be usedinadverseweather conditions. 2.2 Lane Departure Warning System Lane departure warning system is a mechanism designed to prevent the driver from moving out ofitslane.Thesesystems address the main causes of collisions: driver error, distractions and drowsiness. There are three types of systems: • Lane Departure Warning, LDW: Systems which warn the driver if the vehicle is departing from its lane. The driver is then responsible for taking corrective actions. • Lane Keeping Assist, LKA/LKS: Systems which warn the driver and, with no response, automatically applies torque on the steering wheel to ensure the vehicle stays in its lane. • Lane Centering Assist, LCA: The most invasive technology which keeps the car centered in the lane. 2.3 Forward Collision Warning System Forward collision warning system warns the drivers in the event of an imminent frontal crash. When the vehicle comes too close to another vehicle in front of it, a visual, audible, and/or tactile signal occurs to alertthedriverofthesituation. The system uses sensors to detect slower-moving or stationary vehicles. When the distance becomessoshortthat a crash is imminent, a signal alerts the driver so that he can apply the brakes or take evasive action, such as steering, to prevent a potential crash. 2.4 Emergency Brake Assist System Emergency brake assist system is designed to provide additional braking force to a drive in case of an emergency situation. It falls into two main categories: electronic and mechanical. Electronic brake assist systems use an electronic control unit to compare instances of braking to pre-set threshold limit. If a driver has pushed down the brake hard enough and fast enough to surpass this threshold,thecontrol unit will see it as an emergency situation and boost braking power. These systems are adaptable and they compile information on braking style and change the thresholds to ensure the highest accuracy in an emergency situation. Mechanicalsystemsalso use pre-setthresholds,buttheseare set mechanically which means that they are not adaptable to individual drivers. These systems include a locking mechanism that gets activated when the brake pedal is pushed beyond a critical point. Once this threshold is passed, the locking mechanism switches the sourceofbrakingpower from the brake piston valve to the brake booster, which supplies the braking assistance. 2.5 Parking Assistance System Parking assistance systemreferstoanautomatedparkingaid which utilizes radar technology, cameras and sensors. It allows the car to do most of the work itself whenparkinginto a spot. The system informs the driver if it detects a suitable parallel or perpendicular parking space. When activated, the system calculates the best way of approaching the gap, the steering maneuvers required and the number of moves involved. 3. PROPOSED MODEL Figure 1: Instantaneous position of various variables In the diagram, let a and b be the angles that front wheels make with respect to the line joining thehingesofthewheels. As can be seen, there is an instantaneous centre of rotation formed by the intersection of the lines perpendicular to all the four wheels. The x-coordinateofthiscentreisshownasA. Let xot be the x-coordinateofinstantaneouscentreofrotation at any instant of time. There is alsoa radius ofcurvature,r,as the distance between the instantaneous center and the midpoint of the width of rear left tyre. It is assumed that the vehicle is moving at the constantvelocity,v,whilemakingthe turn. Let xt be the x-coordinate of the midpoint of rear left wheel. This serves as the good indicator of vehicle’s position in the x-y plane. For setting the origin of the coordinate-system, the left limit of the lane will always be chosenbytheautonomous system as shown in the diagram. At all times, it is assumed that perfect steering takes place and that there is no slipping of the tyres at any instant. For a perfect steering, the following relationship must always be satisfied: cot(b)-cot(a)=w/l
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4198 where w=width of chassis, and l=length between centres of corresponding front and rear wheels. Figure 2: Schematic Diagram of lane and vehicle Now b and a, and hence, r depend upon angle Θ given to the steering wheel mechanism. Now, Θ could be any function of time,t. Thus, r, in turn, is a function of time. β is the angle turned by the vehicle with respect to the horizontal about its centre of mass at any instant of time. β is also a function of time. Mathematically, r= n(t); Θ=g(t); β=m(t); Let at any instant of time t, radius be r and angle of rotation about centre of mass be β. Then in infinitesimal time dt, the change dβ would be related by the following equation: vdt= r dβ; Integrating both sides, t∫0v/rdt= β∫0 dβ; This gives, β= t∫0v/n(t)dt=m(t); (1) 1. Similarly, let xot be the x-coordinate of instantaneous centre at instant t and xt be the position of vehicle. Then for infinitesimal change dt, we have: xt +d xt= xot + rcos(β+ dβ); (2) Simplifying, xt +d xt = xot +r(cos(β).cos(dβ) – sin(dβ).sin(β)); for dβ, cos(dβ) =1 and sin(dβ)= dβ; xt +d xt = xot +r(cos(β) – dβ.sin(β)); (3) ((r-(r+dr))( xt +d xt)+(r+dr)xot)/r = xot + d xot ; (4) Simplifying and neglecting product of small quantities like dr.dxt, we get: (xot - xt)dr/r= dxot (5) Solving (4) and (5) equations and using them, we get – cos(β)dr=dxot Or, -cos(m(t)).n’(t)dt=dxot. Now, integrating both sides again within the correspoding limits, - t∫0cos(m(t)).n’(t)dt= xot –(xti - ri); where xti is the initial vehicle position and ri is the initial radius of curvature at time, t=0; Thus, xot= F(t); (6) Then, xt is given by the relation, xt = n(t).cos(m(t)) + F(t)= G(t); (7) Let Δtu be the constant time interval after which the electronic system takes the update of the state of the vehicle(basically, xt and Θ). Also, let Δtsmin be the minimum stopping time required for the vehicle to come to halt if it is moving at speed v without jeopardising its stabilty. It is proposed that the onboardcomputercalculatetheactual time to collision at any instant t using the vehicle’s current position, xt, current radius of curvature, r, instantaneous centre of rotation, xot and initial vehicleposition,xti usingthe following formula that follows directly from the acoompanying figure: xt=xot + rcos(Ψ), which gives Ψ= cos-1((xt-xot)/r); (8) and 0= xot + rcos(φ), which gives φ= cos-1(-xot/r); (9) Ψ – φ = angle to be turned at current radius of curvature for collision.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 4199 If Δtsactual is the actual time to collision from current instant of time, then it is given by the following relationship: Δtsactual =( Ψ – φ).r/v (10) Now, if Δtsactual > Δtsmin, then their difference is the leeway available with the driver. He/she may rotate the steering wheel in any direction. However, as the wheel is rotated, there would be a change in the value of Θ. Such a value change would be updated in the system and new Δtsactual would be computed. For effective updation of the changes of values , Δtu should be sufficiently small. If in any case, Δtsactual = Δtsmin, brakes should be applied immediately. In no case should Δtsactual decrease below the level of Δtsmin. Now, the driver should also be warned of the impending dangers and must be assisted in decision-making regarding the direction and magnitude ofangleΘhuman bywhichhe/she turns the steering wheel. One way of doing this is by communicating to the driver by means of torque applied on the steering wheel by the electronic system. This is the concept of haptic control wherein by means of sense of touch,the information is beingconveyedtothehumandriver regarding the magnitude and direction in which the correct input has to be given. This system of haptic control should be intuitive in order to enable the driver to be able to manipulate the wheel effectively. The information in the form of torque on the steering wheel can be passed on to the human driver in an intuitive manner if there is increase in the torque on the wheel with the increase in magnitude of error. Let Θcorrect be the correct angle calculated by the autonomous system at any given instant of time based on speed v, currentx-coordinate,xtand Δtsmin. The torque applied on steering wheel could be Tsw= k. (Θhuman - Θcorrect); a ‘-‘ve torquewouldmeanitopposesthe direction of Θ and a positive torque means it supports the direction of Θ. ‘k’ is a positive constant. Hence by selecting suitable values of k, Δtsmin and Δtu, the model can be made to work. 4. CONCLUSIONS From the above discussion it is clear that a system in which there are various modes of communication between man and machine leads to better management and efficient outcomes. It is expected that the proposedmethodofcontrol would result in the decrease of severe accidents and fatalities. Also the cost of implementation of the system is expected not to be too high. The approach of integrating haptic control system with advanced braking system is expected to be superior to the extant systems in which a haptic control and advanced braking are considered as separate. As the future work, we wish to implement an internet of cars in which systems mounted on different vehicles act as a single unit and coordinate each other’s activities so that fatalities could be further reduced. REFERENCES [1] Ryota Nishimura, Takahiro Wada, and Seiji Sugiyama, “Haptic Shared Control in Steering Operation Based on Cooperative Status Between a Driver and a Driver Assistance System” [2] Wada, T., Nishimura, R.,&Sugiyama,S.(2013).Approach to haptic guidance control in steering operation based on cooperative states between driver and control system. Human Interface and the Management of Information: Information and Interaction for Health, Safety, Mobility and Complex Environments,LNCS8017, 596–605. Springer. [3] Abbink, D. A., & Mulder, M. (2009). Exploring the dimensions of haptic feedback support in manual control. ASME Journal of Computing and Information Science in Engineering, 9(1), 011006. [4] B. Soualmi, C. Sentouh, J.C. Popieul and S. Debernard, “A shared Control Driving Assistance System: Interest of using a Driver Model in both Lane Keeping and obstacle Avoidance Systems” 12th IFAC Symposium on Analysis, Design, and Evaluation of Human-Machine Systems August 11-15, 2013. Las Vegas, NV, USA.