For the system of Problem 7.2-5 and Fig. P7.2-5:

(a) Plot the \(z\)-plane root locus.

(b) Plot the \(w\)-plane root locus.

(c) Determine the range of \(K\) for stability using the results of part (a).

(d) Determine the range of \(K\) for stability using the results of part (b).

Problem 7.2-5

Consider the system of Fig. P7.2-5 with \(T=1 \mathrm{~s}\). Let the digital controller be a variable gain \(K\) such that \(D(z)=K\). Hence \(m(k T)=K e(k T)\).

Fig. P7.2-5

Transcribed Image Text:

R(s) E(s) + T= 1s - D(z) 1-8-7s S M(s) Gp(s) 3+1 C(s)