文章基本信息

标题：Robust Control for a Class of Nonlinear Switched Systems with Mixed Delays
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作者：Yongzhao Wang ; Wenqiong Hou ; Jiangrui Ding 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2020
卷号：28
期号：3
页码：903-911
语种：English
出版社：Newswood Ltd
摘要：In this paper, we consider the problem of expo-nential H ∞ control for a class of nonlinear switched systemssubject to exogenous disturbance and mixed time-varyingdelays. Specifically, the mixed time-varying delays with upperbound are considered to describe the delay-dependent multi-Lyapunov-Krasovskii functional, and the nonlinear perturba-tion satisfies the Lipschitz condition. Then, based on Lyapunovstability theory and average dwell time method, new delay-dependent sufficient results are obtained such that switchedsystems with mixed time-varying delays are exponential sta-bilization and satisfies a prescribed H ∞ control performanceindex by resorting to Jensen’s inequality. Moreover, the problemof state feedback controllers gains are also derived by solvingsome linear matrix inequalities. Finally, a numerical exampleand a practical example of river pollution control are used toshow the effectiveness of the proposed method.
关键词：H ∞ control; Switched systems; Average dwell time; Mixed delays; Multi-Lyapunov-Krasovskii functional.