Assignment I - Step Response of a Transfer Function
Aim: To obtain the step response of a transfer function of the given system using MATLAB.
Procedure:
Type the program in MATLAB editor that is in M-file.
Save and run the program.
Give the required inputs in the command window of MATLAB in matrix format.
'step' function calculates the unit step response of a linear system.
Zero initial state is assumed in state-space case.
When invoked with no output arguments, this function plots the step response on the screen.
step (sys) plots the response of an arbitrary LTI system.
This model can be continuous or discrete, and SISO or MIMO.
The step response of multi-input systems is the collection of step responses for each input channel.
The duration of simulation is determined automatically based on the system poles and zeroes.
Note down the response of the transfer function obtained in MATLAB.
The response of the transfer function is also obtained theoretically.
Both the responses are compared.
Assignment II - Impulse Response of a Transfer Function
Aim: To obtain the impulse response of a transfer function of the given system using MATLAB.
Procedure:
Type the program in the MATLAB editor that is in M-file.
Save and run the program.
Give the required inputs in the command window of MATLAB in matrix format.
'impulse' calculates the impulse response of a linear system.
The impulse response is the response to the Dirac input, δ (t) for continuous time systems and to a unit pulse at t= 0 for discrete time systems.
Zero initial state is assumed in the state space case.
When invoked without left hand arguments, this function plots the impulse response on the screen.
'impulse(sys)' plots the impulse response of an arbitrary LTI model sys.
This model can be continuous or discrete, SISO or MIMO.
The impulse response of multi-input systems is the collection of impulse responses for each input channel.
The duration of simulation is determined automatically to display the transient behavior of the response.
Note down the response of the given transfer function obtained in MATLAB.
The response of the transfer function is also obtained theoretically.
Both the responses are compared.
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Attachment:- Control Systems Lab.rar