Asynchronous switching control of discrete impulsive switched delay systems with average dwell time

作者：Jiang, Zhiyong; Yan, Peng^*

来源：IET Control Theory and Applications, 2018, 12(7): 992-999.

DOI：10.1049/iet-cta.2017.1058

• discrete time systems
• switching systems (control)
• delays
• Lyapunov methods
• asymptotic stability
• closed loop systems
• control system synthesis
• asynchronous switching control
• discrete impulsive switched delay systems
• average dwell time
• asynchronous switching state feedback control problem
• novel time-varying multi-Lyapunov-Krasovskii functional approach
• exponential stability
• closed-loop systems

This study investigates an asynchronous switching state feedback control problem for discrete impulsive switched delay systems with average dwell time. A novel time-varying multi-Lyapunov-Krasovskii functional approach is adopted to establish the control synthesis conditions that guarantee the exponential stability of the closed-loop systems. The relation between the upper bound of asynchronous switching delay and the stability conditions is also explicitly given, and the overall conservativeness of the stability results is improved over the existing results. A numerical example is provided to illustrate the effectiveness of our theoretical results, where the comparison with the existing results demonstrates significant improvement using the proposed method.

• 出版日期2018-5
• 单位北京航空航天大学; 山东大学