Observer-based robust H∞ control for uncertain linear switched systems with time-varying delays

This paper is devoted to study the observer-based robust H∞ dynamical output feedback control problem for a class of linear switched systems with time-varying delays. By multiple Lyapunov functions and the so-called Lyapunov-Metzler inequalities, a min-switching rule and a switched controller with a full order observer are designed to render the system without external disturbance to be asymptotically stable at the equilibrium and to satisfy H∞ disturbance attenuation level when there exists the disturbance. Moreover, the effectiveness of the proposed method is demonstrated by the simulation for a numerical example.