Question

For the control system with Wn= 8 ,zeta=0.2 with parabolic input signal draw the closed loop control system block diagram in Simulink and measure the results of t ( rise time ) by using MATLAB -Simulink Hint : specify the input signal and to the output t

find the solution first by hand then prove it by matlab 

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Answer #1

From the given values of wn and z, the Transfer function of a second order system is derived as givenbelow.

To simulate a parabolic signal, there is no built in function block available in simulink.

Hence, the transfer function block is used as given in circuit below.

As we know the fact that a type zero system will exhibit infinite steady state error, the response also confirms that.

The simulink model and response are also given below.

Given: Wn = 8, { = 0.2 a Since wn and zeta are specified, it is going to be a seand order system. Standard foom & Transfer fuSimulink Model:

64 斗 1 $2+3.2S+64 Output Output Parabolic signal Amplitude of parabolic signal Transfer FcnResponse:

4 x 10 18 Parabolic signal Transfer Fon 16 14 12 10 8 6 4 2 H 0 0 S... 10 20 30 40 60 70 80 90 100

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For the control system with Wn= 8 ,zeta=0.2 with parabolic input signal draw the closed loop control system block diagram in Simulink and measure the results of t ( rise time ) by using MATLAB -Simulink Hint : specify the input signal and to the output t
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