This document discusses designing an automatic suspension system for a Proton Wira car. The car is modeled as a one dimensional spring-damper mechanical system with defined mass, spring constants, and damping constants. The suspension system needs to withstand bumpy roads while providing a comfortable ride with minimal oscillations within 9% overshoot and 25 seconds settling time when encountering disturbances like potholes or speed bumps. A feedback controller will be designed and simulated using matrix and digital controller methods to meet the desired time response requirements.

1. Proton Wira car
suspension system
PAWITHRA A/P VIJIYA EE086080
SHARIMALA NADARAJAN EE083770
KANNATHASAN SALVA RAJU EE083714
MILAD GOLSHAN EE058967
ALARYANI ABDULLAH SALEH EE080808
MUHNAD ABDELGADIR MUSTAFA ELGASSIM EE082061
AMIN MANSOURI EP083935
MOHD FAHMI BIN SULAIMAN EP084259

2. Introduction
 This Project is about designing an automatic
suspension system for the vehicle (Proton Wira)
 In order to design a proper suspension system,
the car needs to be represented using one
dimensional spring – damper mechanical system

3. The One Dimensional Spring –
Damper Mechanical System

4. The One Dimensional Spring –
Damper Mechanical System
 Body mass (m1) = 1025kg
 Suspension mass (m2) = 32 kg
 Spring constant of suspension system (K1) = 80 N/m
 Spring constant of wheel and tire (K2) = 50000 N/m
 Damping constant of suspension system (b1) = 350 Ns/m
 Damping constant of wheel and tire (b2) = 1500 Ns/m
 Control force (U) = force that needed to be designed.
 Referenced by the Proton Manufacturing Company Sdn. Bhd. Data sheet

5. The Suspension System Required
Abilities
 The suspension system need to be able to withstand the
bumpy roads and being able to provide comfort during
such roads holdings . When the car is experiencing any
road disturbance (pot holes, cracks, and speed breakers),
the car body should not have large oscillations, and the
oscillations should dissipate quickly.

6. How To Accomplish The Design
 Assuming that (W) is the road disturbance and it is a step
input.
 It is required to design a feedback controller so that the
output (X1-X2) has an overshoot less than 9% and a
settling time shorter than 25 seconds. For example, when
the car runs onto a 10 cm high step, the car body will
oscillate within a range of +/- 10 cm and return to a
smooth ride within 25 seconds.

7. Matrix form – Controllable &
Observable

8. Feedback Controller Time
Response graph

9. Digital Controller Time Response
graph

10. Conclusion
 In the end, in order to design a proper automatic
suspension system for a simple car, it requires a proper
analysis ,calculation and estimation to match the
requirements and to apply its abilities within its limits.