Delay-dependent H-infinity control of linear discrete-time systems with time-varying delay via switched system approach

作者：Hu, Ke^*; Yuan, Jingqi

来源：International Journal of Adaptive Control and Signal Processing, 2009, 23(12): 1104-1112.

DOI：10.1002/acs.1107

• discrete-time systems
• H-infinity control
• time-varying delay
• switched systems
• Lyapunov-Krasovskii functional

This paper deals with the problem of H-infinity control of linear discrete-time systems with time-varying delay. In order to highlight the relations between all combinations of delayed states, a general Lyapunov-Krasovskii functional is introduced, from which the relation between the switched system transformation and the classical Lyapunov-Krasovskii method is established. The basic idea is to formulate the original time-delay systems as switched systems with arbitrary switching. Therefore, the stability and the H-infinity performance problems can be reduced to the corresponding problems of such switched systems. This fact bridges two distinct research fields. Finally, numerical examples are given to illustrate the effectiveness of the method and its advantage over existing results.

• 出版日期2009-12
• 单位上海交通大学