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Switching between stabilizing controllers. (English) Zbl 1011.93533
Summary: 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.

93D15 Stabilization of systems by feedback
93B12 Variable structure systems
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