平稳切换LPV系统的${H_{\infty}}$控制器设计
作者:
作者单位:

哈尔滨理工大学西区

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中图分类号:

TP13

基金项目:

国家自然科学基金(No.61305001); 黑龙江省自然科学基金项目(No.F201222);


$H_{infty}$ controller design for smooth switching LPV system
Author:
Affiliation:

Harbin University of Science and Technology

Fund Project:

the National Natural Science Foundation of China(No.61305001); Natural Science Foundation of Heilongjiang Province(No.F201222);

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    摘要:

    本文提出一种基于平稳切换策略的LPV系统状态反馈$H_{\infty}$控制器设计方法,以克服子系统切换带来的瞬态响应.将时变参数变化范围划分为有限个具有重叠区域的子空间.应用Lyapunov函数和投影定理,对子空间设计相应的状态反馈控制器,并在非重叠区域调用,在重叠区域内,加权调用相邻子空间的控制器,结合平均驻留时间方法,使系统满足全局一致指数稳定.此外,提出一种重叠率可变的的子空间划分方法.最后,通过数值仿真验证所述方法的有效性.

    Abstract:

    In this paper, a state feedback $H_{\infty}$ controller design method for LPV system based on smooth switching strategy is proposed to overcome the transient response of controllers switching. The range of time-varying parameters is divided into finite subspaces with overlapping regions. Using Lyapunov function and projection theorem, the state feedback controllers are designed for subspaces. The controllers are called in non overlapping regions and weighted in adjacent subspaces in overlapping regions. Combined with the average dwell time method, the system satisfies global uniform exponential stability. In addition, a subspace partition method with variable overlap rate is proposed. Finally, the effectiveness of the proposed method is verified by a simulation example.

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历史
  • 收稿日期:2020-10-12
  • 最后修改日期:2021-02-28
  • 录用日期:2021-03-03
  • 在线发布日期: 2021-04-01
  • 出版日期: