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Screenshot (474).pngLet the open loop transfer function be K/(s(s+1)(s+3)) with unity feedback and ‘K’ as variable determine what is the maximum value of K for which it is stable and what will happen to the stability if we add one real zero ‘z’ between -3 and -1 poles. What is the conclusion derived. Plot the rootlocus with and without zero in MATLAB.
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Screenshot (69).pngScreenshot (70).pngScreenshot (68).png1. The open loop transfer function of a unity feedback system is given by \(\frac{K}{(S+2)(S+4)\left(S^{2}+6 S+25\right)}\).By applying routh criterion, discuss the stability of the closed loop system as a function of \(\mathrm{K}\) which will cause sustained oscillations in the closed-loop system. What are corresponding oscillation frequencies.
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