Output feedback control of a class of switched stochastic nonlinear time-delay systems

Abstract

This paper deals with the global output feedback control problem for a class of switched stochastic nonlinear time-delay systems under arbitrary switchings. By adopting the common Lyapunov function design methods, constructing an implementable reduced-order observer and selecting a Lyapunov-Krasoviskii functional, an output feedback controller independent of switching signals is designed to ensure that the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. A simulation example is given to demonstrate the effectiveness of the proposed design scheme.