Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8055297 | Nonlinear Analysis: Hybrid Systems | 2018 | 16 Pages |
Abstract
This paper is concerned with the asynchronous Hâ control problem for a class of discrete-time switched systems under dwell time constraint. A state-dependent switching strategy that obeys a dwell time constraint is constructed by using an improved dwell-time dependent Lyapunov function (DTDLF). More incisively, this switching strategy not only makes the considered systems stable with a weighted l2-gain, but also allows the value of DTDLF to increase at the switching instant. Dwell-time dependent asynchronous Hâ controllers are designed by solving a set of linear matrix inequalities. It has been shown that the obtained results also facilitate the studies of stability, l2-gain analysis for discrete-time switched systems under zero control input and synchronous switching control, respectively. Finally, three simulation examples are provided to illustrate the effectiveness and potential of the proposed method.
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Authors
Hong Sang, Hong Nie,