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| This paper proposes an improved event-triggered mechanism for networked cascade control system $(NCCS)$ with network-induced delay and stochastic nonlinearities. Firstly, different from the conventional method by preestablishing a fixed triggering parameter, the improved event-triggered mechanism in this paper can adaptively adjust the triggering parameter with respect to the time interval and the dynamic error to reduce the transmission rate while limiting the maximum allowable number of continuous packet loss $(MAPL)$. Secondly, a model of $NCCS$ is established with consideration of network-induced delay, multiplicative stochastic nonlinearities and uncertainties. The multiplicative stochastic disturbances are in the form of a scalar Gaussian white noise with unit variance. Thirdly, by using the linear matrix inequality $(LMI)$ method, sufficient conditions are established that ensure the mean-square stability of the $NCCS$, and then controllers' parameters are characterized by the solution to a set of $LMI$. Finally,two examples are exploited to show the effectiveness of the proposed event-triggered mechanism. |
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| Keywords:Improved event-triggered mechanism;~$NCCS$;~Multiplicative stochastic nonlinearities |
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