Adaptive-triggered asynchronous control for stochastic jumping systems under sliding mode

Abstract

This paper investigates the problem of event-triggered asynchronous control for discrete-time stochastic jumping systems. A novel adaptive event-triggered (AET) strategy is proposed to save network resources, and two asynchronous control approaches are presented. First, an asynchronous feedback control method on adaptive triggered mechanism is proposed, and the mean-square exponentially stable of the closed-loop system is analysed. Second, the reduced-order model for discrete-time stochastic system is established to deal with the actuator faults. Furthermore, combining with the AET scheme, an asynchronous sliding-mode surface is designed such that the discrete-time reduced-order sliding-mode dynamics is yielded. Third, the stability analysis for the sliding-mode dynamics is discussed and the sliding-mode parameters are solved. Moreover, in order to compensate the actuator faults, an asynchronous sliding-mode controller is synthesised, and the reachability of the sliding-mode surface is analysed. Finally, two examples are given to demonstrate the potential of the developed scheme.

KEYWORDS:

• Stochastic jumping systems
• actuator faults
• AET strategy
• asynchronous control
• sliding mode

Acknowledgements

This work is partially supported by the National Natural Science Foundation of China under Grant (61903064 and 61973331), the Key Research and Development Program of Sichuan Province under grant (2021YFG0205 and 2021YFG0079), the China Postdoctoral Science Foundation Funded Project under grant (2019M663479), and the Fundamental Research Funds for the Central Universities under grant (ZYGX2019J058), the Key-Area Research and Development Program of Guangdong Province (2020B0909020001), the Science and Technology Research Project of Chongqing Municipal Education Commission (KJZD-M201900801, KJQN201900831), and the Chonqqing Natural Science ?>Foundation of China (cstc2020jcyj-msxmX0077).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by National Natural Science Foundation of China: [Grant Number 61903064,61973331]; Fundamental Research Funds for the Central Universities: [Grant Number ZYGX2019J058]; Key Research and Development Program of Sichuan Province: [Grant Number 2021YFG0079,2021YFG0205]; Chonqqing Natural Science Foundation of China: [Grant Number cstc2020jcyj-msxmX0077]; China Postdoctoral Science Foundation funded project: [Grant Number 2019M663479]; Key-Area Research and Development Program of Guangdong Province: [Grant Number 2020B0909020001]; Science and Technology Research Project of Chongqing Municipal Education Commission: [Grant Number KJQN201900831,KJZD-M201900801].