Asychronous Controller Design for Markov Jump interconnected Systems with Output Quantization

In this paper, decentralized asynchronous output feedback controllers is proposed for Markov jump interconnected systems with general bounded transition rates. The designed asynchronous output feedback controllers are independent of the system mode, which means that it has sustainable control behavior for the unavailable systems mode. In the controller design, the small-gain condition and the Shure compensation are used to deal with unknown interconnections and nonlinear problem. In addition, the existing conditions of the controller are obtained by using linear matrix inequalities. Finally, a simulation is given to verify the feasibility of the controller.