in this presentation, you will be able to know what is this freq. and time domain analysis.
At last one example is illustreted with video, which distinguishes these two analysis
Chapter 7 Controls Systems Analysis and Design by the frequency response analysis . From the book (Ogata Modern Control Engineering 5th).
7-1 introduction.
7-2 Bode diagrams.
Chapter 7 Controls Systems Analysis and Design by the frequency response analysis . From the book (Ogata Modern Control Engineering 5th).
7-1 introduction.
7-2 Bode diagrams.
Root locus is a graphical representation of the closed-loop poles as a system parameter is varied.
It can be used to describe qualitatively the performance of a system as various parameters are changed.
It gives graphic representation of a system’s transient response and also stability.
We can see the range of stability, instability, and the conditions that cause a system to break into oscillation.
It gives how states are representing in various canonical forms and how it it is different from transfer function approach. and finally test the system controllability and observability by kalman's test
This Presentation explains about the introduction of Frequency Response Analysis. This video clearly shows advantages and disadvantages of Frequency Response Analysis and also explains frequency domain specifications and derivations of Resonant Peak, Resonant Frequency and Bandwidth.
Ch5 transient and steady state response analyses(control)Elaf A.Saeed
Chapter 5 Transient and steady-state response analyses. From the book (Ogata Modern Control Engineering 5th).
5-1 introduction.
5-2 First-Order System.
5-3 second-order system.
5-6 Routh’s stability criterion.
5-8 Steady-state errors in unity-feedback control systems.
This slide show contains a detailed explanation of the following topics from Control System:
1. Open loop & Closed loop
2. Mathematical modeling
3. f-v and f-i analogy
4. Block diagram reduction technique
5. Signal flow graph
This presentation gives the information about introduction to control systems
Subject: Control Engineering as per VTU Syllabus of Aeronautical Engineering.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Disclaimer:
The contents used in this presentation are taken from the text books mentioned in the references. I do not hold any copyrights for the contents. It has been prepared to use in the class lectures, not for commercial purpose.
In this presentation we can get to know how we can construct a bode plot with suitable examples Of different -different orders.
Along with that a simulation model on MATLAB with graph.
And in this we have explained about the transfer function, poles & zeroes.And the basic concept of stability.
Mr. C.S.Satheesh, M.E.,
Frequency response analysis
Frequency Domain Specifications
Resonant Peak Mr
Resonant Frequency ωr
Bandwidth ωh
Cut – off Rate
Gain margin Kg
Phase margin γ
POLAR PLOT
Bode PLOT
state space modeling of electrical systemMirza Baig
Introduction
As systems become more complex, representing them with differential equations or transfer functions becomes cumbersome. This is even more true if the system has multiple inputs and outputs. This document introduces the state space method which largely alleviates this problem. The state space representation of a system replaces an nth order differential equation with a single first order matrix differential equation. The state space representation of a system is given by two equations :
The first equation is called the state equation, the second equation is called the output equation. For an nth order system (i.e., it can be represented by an nth order differential equation) with r inputs and m outputs the size of each of the matrices is as follows:
Several features:The state equation has a single first order derivative of the state vector on the left, and the state vector, q(t), and the input u(t) on the right. There are no derivatives on the right hand side.The output equation has the output on the left, and the state vector, q(t), and the input u(t) on the right. There are no derivatives on the right hand side.
q is nx1 (n rows by 1 column)q is called the state vector, it is a function of timeA is nxn; A is the state matrix, a constantB is nxr; B is the input matrix, a constant u is rx1; u is the input, a function of time C is mxn; C is the output matrix, a constant D is mxr; D is the direct transition matrix, a constant y is mx1; y is the output, a function of time
Derivation of of State Space Model (Electrical)
To develop a state space system for an electrical system, they choosing the voltage across capacitors, and current through inductors as state variables. Recall that
so if we can write equations for the voltage across an inductor, it becomes a state equation when we divide by the inductance (i.e., if we have an equation for einductor and divide by L, it becomes an equation for diinductor/dt which is one of our state variable). Likewise if we can write an equation for the current through the capacitor and divide by the capacitance it becomes a state equation for ecapacitor
There are three energy storage elements, so we expect three state equations. Try choosing i1, i2 and e1 as state variables. Now we want equations for their derivatives. The voltage across the inductor L2 is e1 (which is one of our state variables)so our first state variable equation is
This equation has our input (ia) and two state variable (iL2 and iL1) and the current through the capacitor. So from this we can get our second state equation
Our third, and final, state equation we get by writing an equation for the voltage across L1 (which is e2) in terms of our other state variables
references:
http://lpsa.swarthmore.edu/Representations/SysRepSS.html
https://en.wikipedia.org/wiki/State-space_representation
This presentation explains about the introduction of Nyquist Stability criterion. It clearly shows advantages and disadvantages of Nyquist Stability criterion and also explains importance of Nyquist Stability criterion and steps required to sketch the Nyquist plot. It explains about the steps required to sketch Nyquist plot clearly. It also explains about sketching Nyquist plot and determines the stability by using Nyquist Stability criterion with an example.
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
optical coherence tomography is a new tool that makes retinal diagnosis easier. the above ppt includes a detailed and precise notes on OCT and its interpretation.
Root locus is a graphical representation of the closed-loop poles as a system parameter is varied.
It can be used to describe qualitatively the performance of a system as various parameters are changed.
It gives graphic representation of a system’s transient response and also stability.
We can see the range of stability, instability, and the conditions that cause a system to break into oscillation.
It gives how states are representing in various canonical forms and how it it is different from transfer function approach. and finally test the system controllability and observability by kalman's test
This Presentation explains about the introduction of Frequency Response Analysis. This video clearly shows advantages and disadvantages of Frequency Response Analysis and also explains frequency domain specifications and derivations of Resonant Peak, Resonant Frequency and Bandwidth.
Ch5 transient and steady state response analyses(control)Elaf A.Saeed
Chapter 5 Transient and steady-state response analyses. From the book (Ogata Modern Control Engineering 5th).
5-1 introduction.
5-2 First-Order System.
5-3 second-order system.
5-6 Routh’s stability criterion.
5-8 Steady-state errors in unity-feedback control systems.
This slide show contains a detailed explanation of the following topics from Control System:
1. Open loop & Closed loop
2. Mathematical modeling
3. f-v and f-i analogy
4. Block diagram reduction technique
5. Signal flow graph
This presentation gives the information about introduction to control systems
Subject: Control Engineering as per VTU Syllabus of Aeronautical Engineering.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.
Disclaimer:
The contents used in this presentation are taken from the text books mentioned in the references. I do not hold any copyrights for the contents. It has been prepared to use in the class lectures, not for commercial purpose.
In this presentation we can get to know how we can construct a bode plot with suitable examples Of different -different orders.
Along with that a simulation model on MATLAB with graph.
And in this we have explained about the transfer function, poles & zeroes.And the basic concept of stability.
Mr. C.S.Satheesh, M.E.,
Frequency response analysis
Frequency Domain Specifications
Resonant Peak Mr
Resonant Frequency ωr
Bandwidth ωh
Cut – off Rate
Gain margin Kg
Phase margin γ
POLAR PLOT
Bode PLOT
state space modeling of electrical systemMirza Baig
Introduction
As systems become more complex, representing them with differential equations or transfer functions becomes cumbersome. This is even more true if the system has multiple inputs and outputs. This document introduces the state space method which largely alleviates this problem. The state space representation of a system replaces an nth order differential equation with a single first order matrix differential equation. The state space representation of a system is given by two equations :
The first equation is called the state equation, the second equation is called the output equation. For an nth order system (i.e., it can be represented by an nth order differential equation) with r inputs and m outputs the size of each of the matrices is as follows:
Several features:The state equation has a single first order derivative of the state vector on the left, and the state vector, q(t), and the input u(t) on the right. There are no derivatives on the right hand side.The output equation has the output on the left, and the state vector, q(t), and the input u(t) on the right. There are no derivatives on the right hand side.
q is nx1 (n rows by 1 column)q is called the state vector, it is a function of timeA is nxn; A is the state matrix, a constantB is nxr; B is the input matrix, a constant u is rx1; u is the input, a function of time C is mxn; C is the output matrix, a constant D is mxr; D is the direct transition matrix, a constant y is mx1; y is the output, a function of time
Derivation of of State Space Model (Electrical)
To develop a state space system for an electrical system, they choosing the voltage across capacitors, and current through inductors as state variables. Recall that
so if we can write equations for the voltage across an inductor, it becomes a state equation when we divide by the inductance (i.e., if we have an equation for einductor and divide by L, it becomes an equation for diinductor/dt which is one of our state variable). Likewise if we can write an equation for the current through the capacitor and divide by the capacitance it becomes a state equation for ecapacitor
There are three energy storage elements, so we expect three state equations. Try choosing i1, i2 and e1 as state variables. Now we want equations for their derivatives. The voltage across the inductor L2 is e1 (which is one of our state variables)so our first state variable equation is
This equation has our input (ia) and two state variable (iL2 and iL1) and the current through the capacitor. So from this we can get our second state equation
Our third, and final, state equation we get by writing an equation for the voltage across L1 (which is e2) in terms of our other state variables
references:
http://lpsa.swarthmore.edu/Representations/SysRepSS.html
https://en.wikipedia.org/wiki/State-space_representation
This presentation explains about the introduction of Nyquist Stability criterion. It clearly shows advantages and disadvantages of Nyquist Stability criterion and also explains importance of Nyquist Stability criterion and steps required to sketch the Nyquist plot. It explains about the steps required to sketch Nyquist plot clearly. It also explains about sketching Nyquist plot and determines the stability by using Nyquist Stability criterion with an example.
Classification of signals and systems as well as their properties are given in the PPT .Examples related to types of signals and systems are also given .
optical coherence tomography is a new tool that makes retinal diagnosis easier. the above ppt includes a detailed and precise notes on OCT and its interpretation.
Mr. C.S.Satheesh, M.E.,
Time Response in systems
Time Response
Transient response
Steady-state response.
Delay Time (td)
Rise Time (tr)
Peak Time (tp)
Maximum Overshoot (Mp)
Settling Time (tS)
Standard Test Signals
Impulse signal
Step signal
Ramp signal
Parabolic signal
This presentation gives complete idea about time domain analysis of first and second order system, type number, time domain specifications, steady state error and error constants and numerical examples.
Biomedical Control Systems - Time Response Analysis (Short Questions & Answers)Mathankumar S
Biomedical Control Systems - Time Response Analysis (Short Questions & Answers) - Its detailed about Standard Test Signals, Time Response Analysis of First and Second Order Systems, Steady state errors and Error constants, Effects of Adding Zero to a system, Damping System and PD & PID Controller.
ME-314 Introduction to Control Engineering is a course taught to Mechanical Engineering senior undergrads. The course is taught by Dr. Bilal Siddiqui at DHA Suffa University. This lecture is about time response of systems derived by inspection of poles and zeros. First and second order systems are considered, along with higher order and nonminimum phase systems
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The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
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Bob Boule
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The latest edition of the OT/ICS and IoT security Threat Landscape Report 2024 also covers:
State of global ICS asset and network exposure
Sectoral targets and attacks as well as the cost of ransom
Global APT activity, AI usage, actor and tactic profiles, and implications
Rise in volumes of AI-powered cyberattacks
Major cyber events in 2024
Malware and malicious payload trends
Cyberattack types and targets
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Attacks on counties – USA
Expansion of bot farms – how, where, and why
In-depth analysis of the cyber threat landscape across North America, South America, Europe, APAC, and the Middle East
Why are attacks on smart factories rising?
Cyber risk predictions
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https://sectrio.com/resources/ot-threat-landscape-reports/sectrio-releases-ot-ics-and-iot-security-threat-landscape-report-2024/
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GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...
ppt on Time Domain and Frequency Domain Analysis
1. Time Domain and
Frequency Domain Analysis
In Measurement System
Kamble Sagar Bhikaji
Ist Sem, M.Tech (MC)
13MC12F,
NITK Surathkal.
2. Contents
1. Introduction
2. Time Domain Analysis
3. Frequency Domain Analysis
4. Example- Voltage measurement from a Solar
panel
5. Summary
6. References
3. Introduction: Measurement Systems
It is required to develop mathematical tools that will
allow us to quantitatively analyze measurement
systems.
Figure 1. General structure of an engineering measurement system
(Bentley, 1993)
4. Introduction
Two types of mathematical tools:
1) Time Domain Analysis
- Time domain analysis examines the amplitude vs.
time characteristics of a measuring signal.
2) Frequency Domain Analysis
- Frequency domain analysis replaces the measured
signal with a group of sinusoids which, when added
together, produce a waveform equivalent to the
original.
- The relative amplitudes, frequencies, and phases
of the sinusoids are examined.
5. Time Domain Analysis
In time-domain analysis the response of a
dynamic system to an input is expressed as a
function of time c(t).
It is possible to compute the time response of
a system if the nature of input and the
mathematical model of the system are
known.
The time response of a system can be
obtained by solving the differential eq.
governing the system.
Alternatively, the response c(t) can be
obtained from the transfer function of the
system and the input to the system
6. Time Domain Analysis
For a closed loop transfer function,
C(s)/R(s)= G(s)/[1+G(s)H(s)]
Response in s-domain,
C(s) = R(s)*M(s)
Response in t-domain,
c(t) = InvLap[C(s)]
7. Time Domain Analysis
Time Domain Specifications
For specifying the desired performance
characteristics of a measurement control system.
These characteristics of a system of any order
may be specified in terms of transient response
to a unit step input signal.
The response of a second order system for a
input is,
2
2 2
( )
( ) 2
n
n n
C s
R s s s
w
zw w
=
+ +
8. Time Domain Analysis
Time Domain Specifications
1 Delay time 2 Rise time
3 Peak time 4 Peak overshoot
5 Settling time 6 Steady-state error
9. Time Domain Analysis
Time Domain Specifications
1. Delay time : It is the time required for the response to
reach 50% of the final value in first attempt.
2. Rise time : It is the time required to rise from 0 to
100% of the final value for the under damped system.
3. Peak time : It is the time required for the response to
reach the peak of time response or the peak overshoot.
4. Settling time : It is the time required for the response
to reach and stay within a specified tolerance band ( 2%
or 5%) of its final value.
5.Peak overshoot : It is the normalized difference between
the time response peak and the steady output and is
defined as,
6. Steady-state error: It indicates the error between the
actual output and desired output as ‘t’ tends to infinity.
10. Frequency Domain Analysis
Introduction
Advantages
- Stability of closed loop system can be
estimated
- Transfer function of complicated systems can
be determined experimentally by frequency
tests
- Effects of noise disturbance and parameter
variations are relatively easy to visualize.
- Analysis can be extended to certain nonlinear
control systems.
VIDEO
11. Frequency Domain Analysis
Frequency Domain Specifications
1 Resonant Peak
2 Resonant Frequency
3 Bandwidth
4 Cut-off rate
5 Gain Margin
6 Phase Margin
12. Frequency Domain Analysis
Frequency Domain Specifications
1 Resonant Peak- Maximum value of the closed
loop transfer function.
2 Resonant Frequency- Frequency at which
resonant peak occurs.
3 Bandwidth- range of frequencies for which the
system normalized gain is more than -3db.
4 Cut-off rate- It is the slop of the log-magnitude
curve near the cut off frequency.
5 Gain Margin- The value of gain to be added to
system in order to bring the system to the verge
of instability.
6 Phase Margin- Additional phase lag to be added
at the gain cross over freq. in order to bring the
system to the verge of instability.
13. Frequency Domain Analysis
Frequency Response Plots
Frequency domain analysis of a system can be
carried either analytically or graphically.
The various graphical techniques are
1 Bode Plot
2 Polar Plot
3 Nichols Plot
4 M and N circles
Frequency response plots are used to determine
the frequency domain specifications, to study the
stability of the system.
15. Summary
Every measurement system require analysis of
its features or performance to work as a system.
Time domain analysis gives the behaviour of the
signal over time. This allows predictions and
regression models for the signal.
Frequency Analysis is much easier. Some
equations can't be solved in time domain while
they can be solved easily in frequency domain.
16. References
Control Systems- By A. Nagoor Kani, 2nd
Edition, Chapter 3 and 4.
https://6002x.mitx.mit.edu/wiki/view/TimeDom
ainVersusFrequencyDomainAnalysis
Frequency Domain in Measurements – NIglobal
channel : YouTube.
Control Systems Lectures - Time and Frequency
Domain : YouTube.