2. a) Give a formulation of the Nyquist criterion for stability in both cases, when the open- loop system is stable and unstable. b) Consider a system with the following open-loop transfer function 2k G(s)C(s) = √(+1)(2+1) Applying the Nyquist stability criterion, determine the critical gain k, and the values of the gain k, k>0 for which the closed-loop system is stable-

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Can somebody solve and explaine this problem. It comes from Control theory.

2. a) Give a formulation of the Nyquist criterion for stability in both cases, when the open-
loop system is stable and unstable.
b) Consider a system with the following open-loop transfer function
2k
G(s)C(s) = s(s+1)(25+1)
Applying the Nyquist stability criterion, determine the critical gain k, and the values of
the gain k, k>0 for which the closed-loop system is stable
Transcribed Image Text:2. a) Give a formulation of the Nyquist criterion for stability in both cases, when the open- loop system is stable and unstable. b) Consider a system with the following open-loop transfer function 2k G(s)C(s) = s(s+1)(25+1) Applying the Nyquist stability criterion, determine the critical gain k, and the values of the gain k, k>0 for which the closed-loop system is stable
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In the Nyquist plot is it 2k/3 or 4k/3

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