| 一种基于LPV系统的$H_infty$切换控制器设计方法 |
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| 引用本文： | 吴伟林,谢巍,何伟,张浪文.一种基于LPV系统的$H_infty$切换控制器设计方法[J].控制与决策,2020,35(3):622-628. |
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| 作者姓名： | 吴伟林 谢巍 何伟 张浪文 |
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| 作者单位： | 华南理工大学自动化科学与工程学院,广州510640;华南理工大学自动化科学与工程学院,广州510640;华南理工大学自动化科学与工程学院,广州510640;华南理工大学自动化科学与工程学院,广州510640 |
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| 基金项目： | 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). |
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| 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$H_\infty$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$H_\infty$性能,而且可以保证整个闭环系统满足某一整体的$H_\infty$性能,并通过仿真结果验证了所提出方法的有效性.
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| 关 键 词： | 切换控制 任意切换 H∞性能实现 参数化 |
A method for designing $H_infty$ switching controller based on LPV system |
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| WU Wei-lin,XIE Wei,HE Wei and ZHANG Lang-wen.A method for designing $H_infty$ switching controller based on LPV system[J].Control and Decision,2020,35(3):622-628. |
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| Authors: | WU Wei-lin XIE Wei HE Wei and ZHANG Lang-wen |
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| Affiliation: | College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China,College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China,College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China and College of Automation Science and Technology,South China University of Technology,Guangzhou 510640,China |
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| Abstract: | 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 $H_\infty$ 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 $H_\infty$ performance of the local subsystem under arbitrary switching, but also guarantee the closed-loop system to satisfy the $H_\infty$ performance. The simulation results show the effectiveness of the proposed method. |
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