Asynchronous Finite-Time H8 Control for Discrete-Time Switched Systems with Admissible Edge-Dependent Average Dwell Time

This paper is concerned with asynchronous finite-time H-8 control for a class of discrete-time switched linear systems via admissible edge-dependent average dwell time (AED-ADT) approach. Firstly, by considering the switching time delay between the system and the state feedback controller, appropriate Lyapunov functions are constructed for asynchronous and synchronous switching, respectively. Secondly, for the existence of a set of state feedback controllers, a sufficient condition which guarantees the finite-time boundedness of the closed-loop system with AED-ADT is proposed. Thirdly, a sufficient condition for finite-time H-8 control with a prescribed H-8 performance is further developed based on the obtained result. Finally, a numerical example is given to verify the validity of the proposed theoretical results.

Automated summary

This paper proposes an AED-ADT approach for the asynchronous finite-time H-8 control of discrete-time switched linear systems. The construction of appropriate Lyapunov functions for asynchronous and synchronous switching is discussed. A sufficient condition for the finite-time boundedness of the closed-loop system with AED-ADT is provided, and a condition for finite-time H-8 control with prescribed H-8 performance is also developed. A numerical example is given to validate the theoretical results.