Asynchronous Sliding Mode Control Under Static Event-Triggered Protocol
Jun Ling Song, Zidong Wang, Yugang Niu · 2022
In this chapter, the asynchronous SMC problem is investigated for networked Markovian jump Lur&s;e systems, in which the information of system modes is unavailable to the sliding mode controller but could be estimated by a mode detector via a hidden Markov model. In order to mitigate the burden of data communication, an event-triggered protocol is proposed to determine whether the system state should be released to the controller at certain time-point according to a specific triggering condition. By constructing a novel common sliding surface, this chapter designs an event-triggered asynchronous SMC law, which just depends on the hidden mode information. A combination of the stochastic Lur&s;e-type Lyapunov functional and the hidden Markov model approach is exploited to establish the sufficient conditions of the mean square stability with a prescribed H ∞ performance and the reachability of a sliding region around the specified sliding surface. Moreover, the solving algorithm for the control gain matrices is given via a convex optimization problem. Finally, an example from the DC Motor device system is provided.