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  3. consider the transfer function g(s) = 1/[(s+1)^2(s

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...

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Electrical Engineering

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

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

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

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

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