Event-triggered sliding mode control of Markovian jump systems against input saturation

• Published in: Systems & control letters Vol. 134; p. 104525
• Main Authors: Ma, Renjie, Shao, Xiangyu, Liu, Jianxing, Wu, Ligang
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.12.2019
• Subjects: [formula omitted] performance; Adaptive control; Event-triggered strategy; Input saturation; Markovian jump systems (MJSs); Sliding mode control (SMC); Sliding mode control (SMC); Input saturation; Markovian jump systems (MJSs); Adaptive control; Event-triggered strategy; H∞ performance
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2019.104525

In this work, we pay attention to investigating event-triggered sliding mode control (SMC) strategy with input saturation for a class of Markovian jump systems (MJSs). The state vectors of MJSs are to be sufficiently sampled by a performed event trigger mechanism in a periodic computation way. However, there are some inevitable delays, on the channel from sensor to controller, occurring on the sampling process. For the demand of updates of control input, it is necessary to keep receiving and sending delayed state signals, thus we employ a zero-order-hold (ZOH) in the proposed framework to make the event-triggered SMC strategy come true. Then, by designing an integral-type sliding surface function, combining with the prior knowledge of event trigger scheme, the sliding mode dynamics is derived and the criterion of stochastic stability with H∞ attenuation performance are established. After that, an event-triggered SMC law, which aims at impelling the system trajectories to arrive on the sliding surface, is designed. Furthermore, we take input saturation into account, and specially, in this situation, we propose an adaptive control law of the integral-type sliding surface for the first time. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed results.