基于边界限制事件触发的Lurie系统鲁棒控制  

Robust event-triggered control for Lurie systems based on boundary constraints

作　　者：张凌宇 楼旭阳[1] 叶倩[2] ZHANG Lingyu;LOU Xuyang;YE Qian(School of Internet of Things Engineering,Jiangnan University,Wuxi 214122,China;College of Internet of Things Technology,Wuxi Insttute of Technoloty,Wuxi 214121,China)

机构地区：[1]江南大学物联网工程学院,江苏无锡214122 [2]无锡职业技术学院物联网技术学院,江苏无锡214121

出　　处：《扬州大学学报（自然科学版）》2021年第1期41-48,共8页Journal of Yangzhou University：Natural Science Edition

基　　金：中国博士后科学基金资助项目(2018M642160);江苏省自然科学基金资助项目(BK20201340);江苏省高校“青蓝工程”基金资助项目.

摘　　要：针对一类受控Lurie系统,提出一种基于边界限制的事件触发控制策略.首先,设计Lurie系统的连续时间状态反馈控制器,以保证连续闭环系统的渐近稳定性;其次,引入快、慢辅助系统对原系统Lyapunov函数进行动态边界限制,设计事件触发控制器;最后,利用混杂系统的稳定性理论证明事件触发下闭环系统的渐近稳定性并排除芝诺现象,进而分析Lurie系统的事件触发控制鲁棒性,建立闭环混杂系统的半全局渐近稳定性判据.数值仿真验证了所提控制策略的有效性.In this paper,an event-triggered control strategy based on boundary constraints is presented for a class of controlled Lurie systems.Firstly,a continuous-time state feedback controller is designed for the Lurie system to ensure the asymptotic stability of the continuous closed-loop system.Secondly,based on this continuous-time controller,the fast and slow auxiliary systems are introduced to restrict the Lyapunov function of the original system and design the event-triggered control strategy.Then,the asymptotic stability of the event-triggered closed-loop system is proven by using the stability theory of hybrid system and the Zeno phenomenon is excluded.Furthermore,the robustness analysis of the system under event-triggered control is carried out and a criterion for semi-global asymptotic stability of the closed-loop hybrid system is established.Finally,numerical simulations are provided to illustrate the effectiveness of the proposed method.

关 键 词：事件触发控制 LURIE系统 混杂系统 鲁棒性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]