Consider the following system whereGZAS(z) is the combination of ZOH, analog system 5(s+40) G(s) = and...
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Consider the following system whereGZAS(z) is the combination of ZOH, analog system 5(s+40) G(s) = and the sampler with sampling time of 0.01s. Suppose C(z) = K. (s+1)(s+10) (s+20) R(z) + " E(z) C(z) U(z) GZAS(z) Y(z) (a) Use MATLAB to find GZAS(z). (b) Analyze the stability of the digital system and find the stable range of K with Jury test. (c) Use MATLAB to obtain the Nyquist plot for K = 1, and then investigate it to determine the stable range of K. (d) Use MATLAB to obtain the root locus plot and then determine the stable range of K based on the root locus. (e) Compare the results of parts (b), (c), and (d). Consider the following system whereGZAS(z) is the combination of ZOH, analog system 5(s+40) G(s) = and the sampler with sampling time of 0.01s. Suppose C(z) = K. (s+1)(s+10) (s+20) R(z) + " E(z) C(z) U(z) GZAS(z) Y(z) (a) Use MATLAB to find GZAS(z). (b) Analyze the stability of the digital system and find the stable range of K with Jury test. (c) Use MATLAB to obtain the Nyquist plot for K = 1, and then investigate it to determine the stable range of K. (d) Use MATLAB to obtain the root locus plot and then determine the stable range of K based on the root locus. (e) Compare the results of parts (b), (c), and (d).
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