Resilient event-triggered control for discrete-time nonlinear stochastic systems with input saturations: a co-design approach

Guangwa Wang, Bing Li, Zidong Wang and Yongluo Cao

International Journal of Systems Science, 2026, vol. 57, issue 1, 62-76

Abstract: This paper investigates the stabilisation problem for a class of discrete-time nonlinear stochastic systems with input saturation. The plant model is subjected to bounded exogenous disturbances and random noises, and a closed-loop system is presented under a resilient and event-triggered state-feedback controller. The notion of input-to-state practically exponential stability in mean square with respect to the exogenous disturbance is introduced for this nonlinear closed-loop system. By making use of stochastic analysis theory and the Lyapunov function, sufficient criteria for guaranteeing the stability of the closed-loop system are derived, which reflect the influence from external disturbances, random noise, event-triggered control, and resilient control. In terms of a set of linear matrix inequalities, the feedback gain matrix and the event-triggered parameters are co-designed to guarantee input-to-state practically exponential stabilisation in mean square with respect to the exogenous disturbances and the input saturations. Finally, the effectiveness of the proposed result is demonstrated through a numerical example.

Date: 2026
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DOI: 10.1080/00207721.2025.2490610

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