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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Suppose you are to design a unity feedback controller for a first-order plant depicted in Fig. 3.59. (As you will learn in Chapter 4, the configuration shown is referred to as a proportional-integral controller.) You are to design the controller so that the closed-loop poles lie within the shaded regions shown in Fig. 3.60.
(a) What values of ωn and ξ correspond to the shaded regions in Fig. 3.59? (A simple estimate from the figure is sufficient.)
(b) Let Kα = α = 2. Find values for K and KI so that the poles of the closed-loop system lie within the shaded regions.
Figure 3.59 Unity feedback system for Problem 3.28
Figure 3.60 Desired closed-loop pole locations for Problem 3.28
(c) Prove that no matter what the values of Kα and α are, the controller provides enough flexibility to place the poles anywhere in the complex (left-half) plane.
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