Asynchronous H-infinity control for discrete-time switched systems under state-dependent switching with dwell time constraint

作者：Sang, Hong; Nie, Hong^*

来源：Nonlinear Analysis: Hybrid Systems , 2018, 29: 187-202.

DOI：10.1016/j.nahs.2018.01.007

• Switched systems
• Dwell-time
• State-dependent switching
• Asynchronous switching
• H-infinity control

This paper is concerned with the asynchronous H-infinity control problem for a class of discrete-time switched systems under dwell time constraint. A state-dependent switching strategy that obeys a dwell time constraint is constructed by using an improved dwell-time dependent Lyapunov DTDLF). More incisively, this switching strategy not only makes the considered systems stable with a weighted l(2) -gain, but also allows the value of DTDLF to increase at the switching instant. Dwell-time dependent asynchronous H-infinity controllers are designed by solving a set of linear matrix inequalities. It has been shown that the obtained results also facilitate the studies of stability, l(2)-gain analysis for discrete-time switched systems under zero control input and synchronous switching control, respectively. Finally, three simulation examples are provided to illustrate the effectiveness and potential of the proposed method.

• 出版日期2018-8
• 单位辽宁石油化工大学