Consider again the discrete-time feedback system of Example 11.3: The root loci...
Consider again the discrete-time feedback system of Example 11.3:
The root loci for K >0 and K < 0 are depicted in Figure 11.16.
(a) Consider the root locus for K > 0. In this case, the system becomes unstable when one of the closed-loop poles is less than or equal to —1. Find the value of K for which z = -1 us a closed-loop pole.
(b) Consider the root locus for K < 0. In this case, the system becomes unstable when one of the closed-loop poles is greater than or equal to 1. Find the value of K for which z = 1 is a closed-loop pole.
(c) What is the full range of values of K for which the closed-loop system is stable?
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