基于平均驻留时间切换离散线性系统的降阶输出反馈控制  

Reduced-order output feedback control for switched discrete-time linear systems with average dwell time

作　　者：何伟 谢巍[1] 吴伟林 张浪文[1] HE Wei;XIE Wei;WU Wei-lin;ZHANG Lang-wen(College of Automation Science and Technology,South China University of Technology,Guangzhou Guangdong 510640,China)

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《控制理论与应用》2020年第3期528-533,共6页Control Theory & Applications

基　　金：广东省引进创新创业团队计划项目(2016YT03G125);广东省科技计划项目(2017B090914001,2017A040405023,2017A040403064,2017B090901040,2017B030306017,2016B090927007);广州市科技计划项目(201707010152);广东省自然科学基金项目(2017A030313385)资助.

摘　　要：模型降阶作为简化大规模系统的重要工具,一直受到控制界的高度重视.另外,由于在H∞理论指导下所设计的控制器具有维数过高的特点,这将导致控制器的实现和维护受到限制.基于此本文提出了一种平均驻留时间切换离散线性系统降阶输出反馈控制方法.该方法由一个降阶的切换输出反馈控制器和一个对切换控制器在每个切换时刻的状态执行复位规则的监控器组成,该控制器对切换控制器在每个切换时刻的状态进行降阶控制.仿真结果验证了该方法的有效性.Model reduction has been highly valued for the control field to simplify large-scale systems. In addition,under the guidance of H∞ theory the controller designed has the characteristic of too high dimension, the realization and maintenance of the controller will be restricted. Based on this, a reduced order output feedback control method for discrete linear systems with average dwell time switching is proposed. The method consists of a reduced order switching output feedback controller and a monitor that performs reset rules for the switching controller at each switching time. The controller performs reduced order control on the state of the switching controller at each switching time. Simulation results show the effectiveness of the method.

关 键 词：平均驻留时间 降阶控制器 线性矩阵不等式 切换系统 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]