Stabilization of Minimum-Phase Linear Systems
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It is well-known from the elementary theory of servomechanisms that a single-input single-output linear system, whose transfer function has all zeros in the left-half complex plane can be stabilized via output feedback. If the transfer function of the system has n poles and m zeros, the feedback in question is a dynamical system of dimension \(n-m-1\), whose eigenvalues (in case \(n-m>1\)) are far away in the left-half complex plane. In this chapter, this result is reviewed using a state-space approach. This makes it possible to systematically handle the case of systems whose coefficients depend on uncertain parameters and serves as a preparation to a similar set of results that will be presented in Chap. 6 for nonlinear systems.