Stability and stabilization of nonlinear switched systems under average dwell time. (English) Zbl 1411.93094
Summary: In this paper, the problems of stability and stabilization of nonlinear discrete-time switched systems is investigated. Firstly, in order to implement the lower bound of minimum average dwell time (ADT) of discrete-time switched nonlinear systems, the \(\iota\)-open-chain and quasi-cyclic switching signals are introduced. Secondly, the problem of these underlying nonlinear discrete-time switched systems are solved by using the interval type-2 (IT2) fuzzy modeling approach. Thirdly, a novel delayed IT2 fuzzy controller is devised to guarantee the asymptotically stable of the resulting systems. Finally, a numerical simulation example is given to show the merit and effectiveness of the proposed approach.
MSC:
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 94C30 | Applications of design theory to circuits and networks |
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