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连续时间多胞线性变参数系统变增益H∞/H2输出反馈控制

姜伟 王宏力 陆敬辉 秦伟伟 蔡光斌

控制理论与应用2016,Vol.33Issue(9):1225-1235,11.
控制理论与应用2016,Vol.33Issue(9):1225-1235,11.DOI:10.7641/CTA.2016.50768

连续时间多胞线性变参数系统变增益H∞/H2输出反馈控制

Gain-scheduled H∞/H2 output feedback controller synthesis for continuous-time polytopic linear parameter varying systems

姜伟 1王宏力 1陆敬辉 1秦伟伟 2蔡光斌1

作者信息

  • 1. 火箭军工程大学控制工程系,陕西西安710025
  • 2. 火箭军工程大学空间工程系,陕西西安710025
  • 折叠

摘要

Abstract

This paper focuses on the problem of gain-scheduled H∞/H2 output feedback controller synthesis for continuous-time linear parameter varying (LPV) systems with parameter uncertainty and external disturbance simulta-neously. First, the mathematical formulation and control objectives, including the H∞/H2 performance and regional pole placement, of gain-scheduled mixed-objective robust dynamic output feedback controller for continuous-time LPV sys-tems are presented. Second, in order to further reduce the conservatism of this algorithm, several slack variables and parameter-dependent Lyapunov functions are employed to the well-established performance conditions. Then the desired gain-scheduled mixed-objective robust dynamic output feedback controllers are reformulated as efficiently tractable finite-dimensional convex optimization problem in terms of linear matrix inequalities (LMIs). Finally, numerical examples of a quarter car model with an active suspension are given to illustrate the effectiveness of the proposed methods.

关键词

H∞控制/H2控制/区域极点配置/线性变参数/主动悬架

Key words

H∞control/H2 control/regional pole placement/linear parameter varying/active suspension

分类

信息技术与安全科学

引用本文复制引用

姜伟,王宏力,陆敬辉,秦伟伟,蔡光斌..连续时间多胞线性变参数系统变增益H∞/H2输出反馈控制[J].控制理论与应用,2016,33(9):1225-1235,11.

基金项目

国家自然科学基金项目(61304239,61503391,61503392),陕西省自然科学基金项目(2015JQ6213)资助 (61304239,61503391,61503392)

控制理论与应用

OA北大核心CSCDCSTPCD

1000-8152

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