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This paper addresses the computation of the L2-induced gain for a class of switched systems. The main contribution of the paper is to completely characterize the induced gain of the switched system through a system of differential inequalities on a common storage function, one for each system being switched. The motivation for computing the induced gain of a switched system is the application of robust...
In this paper we consider the problem of designing a multi-controller K that consists of a family of stabilizing controllers {Km}m=1n, where each controller Km belongs to a constrained set Km. Our goal is to determine the controllers {Km}m=1n (and an associated switching trajectory if switching is controllable) to optimize the closed-loop system performance. Based on a special implementation of...
An important class of switched systems consists of those systems built as the feedback interconnection of a plant to be controlled, together with a multicontroller whose dynamics switch. When designing this type of switching controllers, one is faced with the questions of how to select controller realizations and how to initialize the state of the controllers as they are switched into the feedback...
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