一类线性切换系统的事件触发输出调节问题  

Event-triggered Output Regulation for a Class of Switched Linear Systems

作　　者：李莉莉[1,2] 宋林阳 郭家珺 郝立颖 LI Lili;SONG Linyang;GUO Jiajun;HAO Liying(School of Mathematics,Liaoning Normal University,Dalian 116029,China;College of Marine Electrical Engineering,Dalian Maritime University,Dalian 116026,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]大连海事大学船舶电气工程学院,辽宁大连116026

出　　处：《信息与控制》2019年第2期245-250,共6页Information and Control

基　　金：国家自然科学基金资助项目(61304056;11671184);大连市高层次人才创新支持计划资助项目(2016RQ049);中央高校基本科研业务费资助项目(3132018127;3132018125)

摘　　要：通过设计事件触发状态反馈控制器,研究一类线性切换系统的输出调节问题.相比于时间触发控制,事件触发控制可显著地降低控制任务执行的次数.由于事件触发时刻与切换时刻的相互混合,导致切换系统控制器的设计十分困难.本文通过给出事件触发机制、状态反馈控制器和满足平均驻留时间的切换信号联合设计的方案,得到系统输出调节问题可解的充分条件.非共同坐标变换突破原有各子系统的调节器方程组具有共同解的限制.此外,为了避免Zeno现象,给出相邻事件触发间隔时间存在一个正下界.最后,应用切换RLC电路系统进行仿真验证结论的有效性.We investigate the output regulation problem for a class of switched linear systems.Here an event-triggered state feedback controller is designed to carry out the control task.Compared with the time-triggered mechanism,the event-triggered mechanism effectively reduces the execution times of a control task.Designing the controller for switched systems is difficult because of the mixture of event-triggered times and switching times.In this study,by providing a co-design scheme of an event-triggered mechanism,state feedback controllers,and switching signal that satisfies the average dwell time condition,sufficient conditions that make the output regulation problem solvable are realized.The different coordinate transformations break the restrictions of the common solutions of the regulator equations of all subsystems.Moreover,a positive lower bound on the inter-event interval is given to avoid Zeno behavior.Finally,the simulation of a switching RLC circuit system is applied to verify the validity of the results.

关 键 词：线性切换系统 输出调节 事件触发 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]