Observer-Based Control of 2-D Markov Jump Systems

This paper is concerned with the problem of asynchronous observer-based control for two-dimensional Markov jump systems. Based on a linear matrix inequality (LMI) setting, some equivalent criteria are proposed to ensure that the closedloop hidden Markov jump system is stochastically stable. On the basis of the derived stability conditions, the design problem of asynchronous observer-based controllers is addressed. The effectiveness of the design scheme is verified by a practical example in thermal process models.