Controller Design of Observer-based Markov Jump System under the Event-triggered Mechanism
For continuous networked Markov jump system with uncertain time-delay from sensor to actuator and from actuator to controller,the co-design problem of observer and controller based on event-triggered mechanism is studied.Firstly,considering the unmeasurable state of the system,an observer is constructed at the controller end,and the closed-loop system is modeled as an equivalent time-delay system by analyzing the signal transmission time sequence under the event-triggered mechanism.Secondly,the sufficient conditions for the closed-loop system stability are obtained by using Lyapunov functional stability theorem and linear matrix inequality method.Finally,a method to solve the gain matrix of the controller and observer is given,and the co-design of the controller and observer is realized.Numerical simulation verifies the effectiveness of the proposed design method.
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维普
