Switching between stabilizing controllers

Authors:
JoãO P. Hespanha;A.Stephen Morse
Affiliations:
Department of Electrical and Computer Engineering, University of California, Engineering I, Room 5157, Santa Barbara, CA 93106-9560, USA;Department of Electrical Engineering, Yale University, New Haven, CT06520-8267, USA
Venue:
Automatica (Journal of IFAC)
Year:
2002

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Abstract

This paper deals with the problem of switching between several linear time-invariant (LTI) controllers-all of them capable of stabilizing a specific LTI process-in such a way that the stability of the closed-loop system is guaranteed for any switching sequence. We show that it is possible to find realizations for any given family of controller transfer matrices so that the closed-loop system remains stable, no matter how we switch among the controller. The motivation for this problem is the control of complex systems where conflicting requirements make a single LTI controller unsuitable.