### Event-Triggered L1-Gain Control of Nonlinear Positive Switched Systems

ZHANG Junfeng · LIU Laiyou · LI Shuo · DENG Xuanjin

1. ZHANG Junfeng
School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China; Inria, University of Lille, CNRS,UMR9189-CRIStAL, F-59000 Lille, France. Email: jfz5678@126.com; jfz@hdu.edu.cn.
LIU Laiyou · LI Shuo · DENG Xuanjin
School of Automation, Hangzhou Dianzi University, Hangzhou 310018, China.
• Online:2021-06-25 Published:2021-03-11

ZHANG Junfeng · LIU Laiyou · LI Shuo · DENG Xuanjin. Event-Triggered L1-Gain Control of Nonlinear Positive Switched Systems[J]. Journal of Systems Science and Complexity, 2021, 34(3): 873-898.

This paper is concerned with the event-triggered L1-gain control of a class of nonlinear positive switched systems. First, an event-triggering condition in the form of 1-norm is presented for the systems. By virtue of the event-triggering strategy, the original system is transformed into an interval uncertain system. An event-triggered L1-gain controller is designed by decomposing the controller gain matrix into the sum of nonnegative and non-positive components. Under the design controller, the resulting closed-loop systems are positive and L1-gain stable. The obtained approach is developed for the systems subject to input saturation. All presented conditions are solvable in terms of linear programming. Finally, two examples are provided to verify the effectiveness of the design.

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