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syllabus
Time Domain Analysis of Control Systems,
Introduction- Standard Test signals, Time response specifications, Time response of first and second order systems to unit step input and ramp inputs, time domain specifications, Steady state error and static error coefficients,
Frequency domain analysis: Frequency domain specifications, correlation between time and frequency responses.
Simulation assignment-1
Time domain specifications in MATLAB
Delay Time, Rise Time, Peak Time, Peak Overshoot
Simulation assignment-2
Time response of any input in MATLAB
Step Response, Impulse Response, Sine Response, Ramp Response, Parabolic Response
Video Lectures
Introduction to Time domain analysis | Control system - Module 2 | Lect 25
Topics covered
Introduction to time response analysis or Time domain analysis - Transient response and steady state response
Introduction to Test signals and its Relationships | Control system - Module 2 | Lect 26
Topics covered
Introduction to test signals - Types of test signals - Time & Frequency domain rep of test signals - relationship between test signals
Order of control system | Control system - Module 2 | Lect 27
Topics covered
Order of the control system
Time Response of first order system to unit step input | error | Control system - Module 2 | Lect 28
Topics covered
Time response of first order control system to unit step input
Expression of error for same
Time Response of first order system to unit ramp input | error | Control system - Module 2 | Lect 29
Topics covered
Time response of first order control system to unit ramp input
Expression of error and steady state for same
Introduction to Second order system | Control system - Module 2 | Lect 30
Topics covered
Introduction to second order system, Standard equation of second order system, Damping ratio zeta, four cases of zeta
Time response of UNDAMPED 2nd order system for unit step input | Control system - Module 2 | Lect 31
Topics covered
Time response of UNDAMPED 2nd order system for unit step input|
Time response of UNDERDAMPED 2nd order system for unit step input | Control system-Module 2|Lect 32
Topics covered
Time response of UNDERDAMPED 2nd order system for unit step input
Time Response of CRITICALLY DAMPED 2nd order system for unit step input | CS -Module 2|Lect 33
Topics covered
Time Response of CRITICALLY DAMPED 2nd order system for unit step input
Time Response of OVER DAMPED 2nd order system for unit step input | CS -Module 2 | Lect 34
Topics covered
Time Response of OVER DAMPED 2nd order system for unit step input, Time response plot, Time response Summary of second order system for unit step input
Introduction to time domain specifications | Control System - Module 2 | Lect 35
Topics covered
Introduction to time domain specifications
Delay time (t_d), Rise time (t_r), Peak time (t_p), Peak overshoot time (M_p), Settling time (t_s)
Introduction to time domain specifications | Control System - Module 2 | Lect 35
Topics covered
Introduction to time domain specifications
Delay time (t_d), Rise time (t_r), Peak time (t_p), Peak overshoot time (M_p), Settling time (t_s)
Rise time | Expression for time domain specifications | Control System - Module 2 | Lect 36
Topics covered
Expression for time domain specifications
Derivation for Rise time (t_r)
Peak Time | Expression for time domain specifications | Control System - Module 2 | Lect 37
Topics covered
Expression for time domain specifications
Derivation for Peak Time (t_p)
Peak overshoot Time | Expression for time domain specifications | CS - Module 2 | Lect 38
Topics covered
Expression for time domain specifications
Derivation for Peak over shoot Time (M_p)
Settling Time | Expression for time domain specifications | CS - Module 2 | Lect 39
Topics covered
Expression for time domain specifications
Derivation for settling Time (t_s)
Finding the response of a system | Problem 1 | CS - Module 2 | Lect 40
Topics covered
Q1) Obtain the response of unity feedback system whose open loop transfer function is ๐บ(๐ )=4/(๐ (๐ +5)) and when the input is unity step
Step by step solution
Calculating Peak time & peak overshoot time of a system | Problem 2 | CS - Module 2 | Lect 41
Topics covered
Q) The unity feedback system is characterized by an open loop transfer function ๐บ(๐ )=๐พ/(๐ (๐ +10)). Determine the gain K, so that the system will have a damping ratio 0.5 for this value of K. Determine peak time, peak overshoot and time at peak overshoot for a unit step input
Type number of control system | CS - Module 2 | Lect 42
Topics covered
Type number of control system
Steady state error | CS - Module 2 | Lect 43
Topics covered
Derivation of steady state error
Static error constant | CS - Module 2 | Lect 44
Topics covered
Static error constant
Expression of steady state error when the input is unit step signal | CS - Module 2 | Lect 45
Topics covered
Derivation for expression of steady state error of a system when the input is unit step signal
Expression of steady state error when the input is unit ramp signal | CS - Module 2 | Lect 46
Topics covered
Derivation for expression of steady state error of a system when the input is unit step signal
Expression of steady state error when the input is parabolic signal | CS - Module 2 | Lect 47
Topics covered
Derivation for expression of steady state error of a system when the input is parabolic signal
Frequency domain analysis | Frequency domain specifications | CS - Module 2 | Lect 48
Topics covered
Frequency domain analysis, Frequency response, Frequency domain response
Resonant peak (M_r), Resonant frequency (W_r), Band width, Cut off rate, Gain margin, Phase margin
Resonant Peak | Frequency domain specifications | CS - Module 2 | Lect 49
Topics covered
Frequency domain specifications
Resonant Peak
Band width | Frequency domain specifications | CS - Module 2 | Lect 50
Topics covered
Frequency domain specifications
Band width
Phase margin | Frequency domain specifications | CS - Module 2 | Lect 51
Topics covered
Frequency domain specifications
Phase margin derivation
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