Asynchronous H∞ Control of Switched Systems and Its Applications: An Admissible Chain-Dependent Average Dwell Time Switching Strategy

- This work is interested in the stability analysis and H-infinity control for a class of continuous-time switched systems with external disturbances and asynchronous switching. Based on the attributes of the closed-loop switched systems with edge-dependent state-feedback controllers, a novel admissible chain-dependent average dwell time switching strategy is proposed. The new switching is characterized by admissible transition chains derived from combining two admissible transition edges associated with two consecutive switching events, and it is expected to relax the dwell time constraints in the existing admissible edge-dependent average dwell time switching. Moreover, to reflect the nature of the discussed asynchronously switched systems, a hybrid chain- and edge-dependent Lyapunov function is introduced. Through the suggested switching and Lyapunov function methods, the stability and L-2 -gain analysis results are obtained, based on which the intended edge-dependent H(infinity)control scheme is designed. Finally, the provided control scheme is validated through switched DC motor and Boost models as well as a numerical example.