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Stabilization of Minimum-Phase Linear Systems

  • Alberto IsidoriEmail author
Chapter
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Part of the Advanced Textbooks in Control and Signal Processing book series (C&SP)

Abstract

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.

References

  1. 1.
    A. Isidori, Sistemi di Controllo, vol. II (Siderea, Roma, 1993). in ItalianGoogle Scholar
  2. 2.
    H.W. Bode, Network Analysis and Feedback Amplifier Design (Van Nostrand, New York, 1945)Google Scholar
  3. 3.
    K.J. Astrom, R.M. Murray, Feedback Systems (Princeton University Press, Princeton, 2008)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Informatica, Automatica e GestionaleUniversità degli Studi di Roma “La Sapienza”RomeItaly

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