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Problem 4. Nyquist Stability Criterion for Delayed First-order System (25 points) In the feedback control system shown below, K>0. Use MATLAB to sketch both

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Problem 4. Nyquist Stability Criterion for Delayed First-order System (25 points) In the feedback control system shown below, K>0. Use MATLAB to sketch both the Bode and 1 Nyquist plot for G(s): = and G(s) = es " S+1 respectively. Use Nyquist Stability Criterion s+1 to determine the range of K for the closed-loop system to be stable. R(s) K + G(s) Y(s)

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