Two-dimensional event-triggered sliding mode control for Roesser model with time delays. (May 2022)

• Record Type: Journal Article
• Authors: Yang, Rongni; Ding, Shufen
• Is Part Of: ISA transactions. Volume 124(2022)
• Page Start: 271
• Page End: 279
• Publication Date: 2022-05
• Subjects: Two-dimensional (2-D) systems -- Sliding mode control (SMC) -- Event-triggered scheme (ETS) -- Time delays -- Roesser model; Engineering instruments -- Periodicals; Engineering instruments; Periodicals; Electronic journals; 629.805
• DOI: 10.1016/j.isatra.2020.10.049
• Languages: English
• ISSNs: 0019-0578

Abstract

Abstract: This paper is concerned with the event-triggered sliding mode control (SMC) strategy for the discrete-time two-dimensional (2-D) systems represented by Roesser model with time delays. Firstly, the linear sliding surface functions combined with the event-triggered scheme are constructed for the 2-D Roesser model. Then sufficient conditions are established for the asymptotic stability of the reduced-order sliding mode dynamics and the existence of linear sliding surface functions in terms of linear matrix inequality. Subsequently, the event-triggered sliding mode control law is designed by the Lyapunov function approach to drive the state trajectories of the resultant closed-loop system into a bounded region and maintain there for subsequent time. Finally, a numerical example is given to illustrate the effectiveness of the proposed SMC design method.