Observer Based Hâˆ‍ Control on Nonhomogeneous Discrete Time Markov Jump Systems

Abstract

This paper concerns the problem of observerbased Hâˆ‍ controller design for a class of discretetime Markov jump systems with nonhomogeneous jump parameters. A nonhomogeneous jump transition probability matrix is described by a polytope set, in which values of vertices are given. By Lyapunov function approach, under the designed observerbased controller, a sufficient condition is presented to ensure the resulting closedloop system is stochastically stable and a prescribed Hâˆ‍ performance is achieved. Finally, a simulation example is given to show the effectiveness of the developed techniques.