Switching between stabilizing controllers.

*(English)*Zbl 1011.93533Summary: 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.

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\textit{J. P. Hespanha} and \textit{A. S. Morse}, Automatica 38, No. 11, 1905--1917 (2002; Zbl 1011.93533)

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