Observer-Based Control of 2-D Markov Jump Systems

This brief is concerned with the problem of asynchronous observer-based control for 2-D Markov jump systems (MJSs). Based on a linear matrix inequality setting, some equivalent criteria are proposed to ensure that the closed-loop hidden MJS 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.