### Robust H∞ Control of Switched Nonlinear Systems Under Sampled Data

ZHAO Hongpeng, WANG Xingtao

1. School of Mathematics, Harbin Institute of Technology, Harbin 150001, China
• Received:2021-02-23 Revised:2021-03-28 Online:2022-10-25 Published:2022-10-12

ZHAO Hongpeng, WANG Xingtao. Robust H Control of Switched Nonlinear Systems Under Sampled Data[J]. Journal of Systems Science and Complexity, 2022, 35(5): 1785-1807.

This paper investigates the globally asymptotically stable and L2-gain of robust H control for switched nonlinear systems under sampled data.By considering the relationship between the sampling period and the dwell time,the non-switching and one switching are discussed in the sampling interval,respectively.Firstly,a state feedback sampled-data controller is constructed by the back-stepping method,and the switching converts to asynchronous switching if it happens within the sampling interval.Then,under the limiting conditions of the sampling period,which are obtained by the average dwell time method,the closed-loop system is globally asymptotically stable and has L2-gain.Finally,two numerical examples are provided to demonstrate the effectiveness of the proposed method.
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