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Event-triggered fault detector and controller coordinated design of discrete-time nonlinear systems in T-S fuzzy model

This paper focuses on the problem of event-triggered fault detector and controller coordinated design for discrete-time nonlinear systems over network. Firstly, by considering original T-S fuzzy system, the event-triggering mechanism and packet dropouts, a new based-network residual system is constructed. Under the established system, a less conservative basis-dependent stability condition is obtained by making use of the reciprocally convex technique, which ensures that the residual system is mean-square asymptotically stable with a given H∞ performance. Secondly, the desired fuzzy-rule-dependent fault detector and controller scheme are obtained by employing a variable substitution approach. Finally, these criteria can be calculated by the standard optimization toolbox due to convex optimization problems.