Finite-Region Asynchronous Fault-Tolerant Control of 2-D Markov Jump Systems with Sensor Faults

This paper investigates the finite-region asynchronous fault-tolerant control problem for two-dimensional Markov jump systems subject to sensor faults. The purpose of this paper is to derive a suitable asynchronous fault-tolerant control method to make the closed-loop two-dimensional Markov jump systems be finite region stable and fulfill the defined H-infinity performance index. Then, some sufficient conditions are developed to acquire the finite-region control method by means of the stochastic Lyapunov-Krasovskii functional methods. In addition, to illustrate the feasibility of the methodology, a numerical example is presented.