Matlab- closed loop transfer function frequency tracking
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I hope I can explain my problem well enough,
Let's say I have a closed loop control system, and I know the given physical plant 'Gp'(the compensator and the feedback transfer func is 1). The question is to check whether the system can track a frequency of 2 rad/sec perfectly. Looking at 'Gp'(s=jw)|w=2 and substituting in T(s)=1/(s^2+5) we see that it's 1 and tracks it perfectly, but T(s) itself is not stable. Supposedly I can check it in Matlab and see that the output graph(of T(s)) does not track the input of w=2(output and input graphs are on the same figure). How can I write a code to recreate that situation?(someone advised to use lsim, but I couldn't really understand it fully) Thanks!
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