Nonfragile asynchronous control for fuzzy Markov jump systems with packet dropouts

• The passivity for the fuzzy Markov jump systems is obtained.
• An asynchronous controller is proposed to overcome the difficulty that the controller is unavailable to the system mode.
• The nonfragile property is considered to improve the robustness of the controller.

In this paper, the problem of passive control for fuzzy Markov jump systems with packet dropouts is studied, where Bernoulli processes are introduced to describe packet dropouts. A nonfragile asynchronous controller is designed not only to overcome the difficulty that the controller is unavailable to the information of the system mode but also to improve the robustness of the controller. Then sufficient condition is established to guarantee that the closed-loop system is mean-square stable and achieves the passivity. The controllers are derived by using the linear matrix inequality approach. Finally, the developed results are illustrated by a numerical example.