Asynchronous control for 2-D switched systems with mode-dependent average dwell time

作者：Fei, Zhongyang^*; Shi, Shuang; Zhao, Chang; Wu, Ligang

来源：Automatica, 2017, 79: 198-206.

DOI：10.1016/j.automatica.2017.01.026

• Asynchronous switching
• Mode-dependent average dwell time
• 2-D switching systems
• H-infinity control

This work is concerned with asynchronous control for a class of two-dimensional switched systems with mode-dependent average dwell time. The systems are formulated by the famous Fornasini-Marchesini local state-space model, and the switching signal of the switched controller involves time delays which lead to the asynchronism between controllers and subsystems. By extending mode-dependent average dwell time with the switched quadratic Lyapunov functional approach, the stabilization condition is established for 2-D asynchronously switched systems. Based on the stabilization result, mode-dependent state-feedback controllers are designed to guarantee performance and asymptotic stability of the corresponding closed-loop system. Finally, two examples are provided to illustrate the effectiveness of the proposed design scheme.

• 出版日期2017-5
• 单位哈尔滨工业大学