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

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.