摘要
针对线性参数变化(LPV)系统提出一种切换控制器参数化设计方法.基于Youla参数化思想,将控制器设计过程分解为两个步骤.首先,设计一个中心控制器保证闭环系统的全局H_∞性能;其次,将参数变化区域划分为若干个子区域,在每个子区域中将中心控制器进行线性分式变换,得到切换控制器自由参数的状态空间实现,将切换控制器转换为自由参数之间的切换.基于所提出的切换LPV控制器线性分式变换实现方法,不仅可以保证在任意切换的情况下子系统各自局部的H_∞性能,而且可以保证整个闭环系统满足某一整体的H_∞性能,并通过仿真结果验证了所提出方法的有效性.
A parameterized design method for switching controllers is proposed for linear parameter-varying(LPV)systems.Based on the Youla parameterization ideas,the switching controller design process is decomposed into two steps.Firstly,a central controller is designed to guarantee the global H_∞performance of the closed-loop system.Then,the parameter variation set is divided into several subsets,in each subset,the center controller performs the linear fractional transformation to obtain the state space realization of the free parameters of the switching controller,and the switching controller is converted into switching the free parameter.Based on the implementation of the linear fractional transformation method of the switched LPV controller proposed in this paper,it can not only guarantee the corresponding H_∞performance of the local subsystem under arbitrary switching,but also guarantee the closed-loop system to satisfy the H_∞performance.The simulation results show the effectiveness of the proposed method.
作者
吴伟林
谢巍
何伟
张浪文
WU Wei-lin;XIE Wei;HE Wei;ZHANG Lang-wen(College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China)
出处
《控制与决策》
EI
CSCD
北大核心
2020年第3期622-628,共7页
Control and Decision
基金
广东省引进创新创业团队计划项目(2016YT03G125)
江门市创新科研团队引进项目(2017TD03)
广东省科技计划项目(2017B090914001,2017A040405023,2017A040403064,2017B090901040,2017B030306017)
广东省自然科学基金项目(2017A030313385)
中央高校基本科研业务费专项资金项目(2017BQ098).
关键词
切换控制
任意切换
H_∞性能实现
参数化
switching control
arbitrary switching
H_∞performance realization
parameterization
