Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the...

Consider the transfer function G(s) = 1/[(s+1)^2(s+2)]. We use a PI compensator C(s)=(as+b)/s and close the feedback loop.

1.) Find out the entire range of a and b at which the closed-loop is stable and show it on the plane with a and b axes.

2.) At the border of instability, find the frequency of oscillations in terms of a.

3.) For what value of a, do we get the largest range of b for stability? What is this largest range?

Expert Solution

Manojponduru answered 1 year ago

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