Observer-based H8 control on nonhomogeneous Markov jump systems with nonlinear input

Abstract

This paper considers the problem of observer-based H8 controller design for a class of discrete-time nonhomogeneous Markov jump systems with nonlinear input. Actuator saturation is considered to be a nonlinear input of such system and the time-varying transition probability matrix in the system is described as a polytope set. Furthermore, a mode-dependent and parameter-dependent Lyapunov function is investigated, and a sufficient condition is derived to design observer-based controllers such that the resulting error dynamical system is stochastically stable and a prescribed H8 performance is achieved. Finally, estimation of attraction domain of such nonhomogeneous Markov jump systems is also made. A simulation example shows the effectiveness of developed techniques.