Asynchronous Control for 2-D Switched Systems With Quasi-Time-Dependent Lyapunov Function and Weighted Average Dwell Time Strategy

被引:0
作者
Yu, Qiang [1 ,2 ]
Su, Wangxian [1 ,2 ]
机构
[1] Shanxi Normal Univ, Shanxi Key Lab Cryptog & Data Secur, Taiyuan 030031, Shanxi, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Taiyuan, Peoples R China
关键词
2-D switched system; asymptotic stability; asynchronous switching; weighted average dwell time; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILITY; STABILIZATION; SATURATION; DESIGN;
D O I
10.1002/rnc.8071
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper focuses on the asynchronous control for a specific category of two-dimensional (2-D) switched systems with the weighted average dwell time strategy. The system is described using the renowned Fornasini-Marchesini local state-space model. The control signal for the switching mechanism incorporates time delays, which result in asynchronism between the controllers and subsystems. By using the weighted average dwell time strategy and a switched quasi-time-dependent Lyapunov functional method, sufficient conditions for stabilizing the 2-D switched system with asynchronous switching are formulated. Based on the stabilization result, the state-feedback controllers are designed to ensure H(infinity )performance and asymptotic stability of the corresponding closed-loop system. An illustrative example is presented to validate the efficacy of the proposed control scheme.
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页数:11
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