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Two-dimensional event-triggered sliding mode control for Roesser model with time delays
ISA Transactions ( IF 7.3 ) Pub Date : 2020-10-26 , DOI: 10.1016/j.isatra.2020.10.049
Rongni Yang 1 , Shufen Ding 1
Affiliation  

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.



中文翻译:

时滞Roesser模型的二维事件触发滑模控制

本文研究了以具有时间延迟的 Roesser 模型为代表的离散时间二维 (2-D) 系统的事件触发滑模控制 (SMC) 策略。首先,为二维Roesser模型构建了结合事件触发方案的线性滑动面函数。然后根据线性矩阵不等式建立了降阶滑模动力学的渐近稳定性和线性滑面函数存在的充分条件。随后,通过 Lyapunov 函数方法设计了事件触发的滑模控制律,将所得闭环系统的状态轨迹驱动到有界区域并在后续时间保持该区域。最后,给出了一个数值例子来说明所提出的SMC设计方法的有效性。

更新日期:2020-10-26
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