Method for Multi-Object Control Based on Static Output Feedback

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Method for Multi-Object Control Based on Static Output Feedback

更新时间：2025-07-09

- Method for Multi-Object Control Based on Static Output Feedback
- Vol. 43, Issue 7, Pages: 49-52(2009)
- 作者机构：
  
  吉林大学机械科学与工程学院,长春,130025
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP273
- Online First：10 July 2009，
  
  Published：2009
- 稿件说明：
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Method for Multi-Object Control Based on Static Output Feedback[J]. 2009, 43(7): 49-52.
DOI：

Method for Multi-Object Control Based on Static Output Feedback[J]. 2009, 43(7): 49-52. DOI：

摘要

研究了连续多面体不确定系统的多目标静态输出反馈控制问题

此目标静态输出反馈控制问题由双线性矩阵不等式(BMI)给出.为了计算静态输出反馈增益

提出了一种基于差分进化算法(DEA)和线性矩阵不等式(LMI)方法的新型混合算法.新算法的基本思想是通过DEA得到控制器的样本

并将BMI问题转化为凸约束优化问题

进而采用LMI方法来最小化系统的性能指标.以多目标H

∞

控制问题为例

给出了基于静态输出反馈的多目标控制求解的具体方法

并用数值仿真例子说明了该算法的有效性.

Abstract

The static multi-object output feedback control of continuous polytopic uncertain system was discussed

which was given in terms of bilinear matrix inequalities(BMI). A new hybrid control approach based on differential evolution algorithm(DEA)and linear matrix inequality(LMI)was proposed to evaluate the static output feedback gain

whose essential ideal is to transform BMI into convex optimization problems employing the controller samples obtained by DEA. LMI optimization method was then adopted to minimize the system output performance. Taking the H

∞

control as example

the detailed algorithm of solving multi-object control based on static output feedback was presented. The numerical simulation examples were employed to illustrate the effectiveness of the new hybrid control approach.

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references

时圣柱. 基于BMI方法的静态输出反馈控制设计 [D].南京:南京理工大学理学院,2007.

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陈虹,赵桂军,孙鹏远,等.H2和H∞主动悬架统一的理论框架与比较 [J].汽车工程,2003, 25(1):1-6.

CHEN Hong, ZHAO Guijun, SUN Pengyuan, et al. H2 and H∞ active suspensions: a unified theoretic framework and comparison [J]. Automotive Engineering, 2003, 25(1):1-6.

孙鹏远. 基于LMI优化的主动悬架多目标控制研究 [D]. 长春:吉林大学通信工程学院,2004.

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