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The integral event trigger mechanism is introduced in the control side and sensor side of the system. Based on Lyapunov stability and H\u221e control theory, the sufficient conditions to make the fault system asymptotically stable and have certain performance indexes are given by means of linear matrix inequalities; at the same time, the design criteria of event trigger parameters are also given. The linear matrix inequality is decoupled, and the calculation method of gain matrix of simultaneous fault detection and control module is given. 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