New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties

HU Jun; CHEN Dong-yan; ZHAO Yan-feng

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New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties

更新时间：2026-07-10

- New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties
- Vol. 15, Issue 4, Pages: 49-54(2010)
- 作者机构：
  
  哈尔滨理工大学应用科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP13
- Published：2010
- 稿件说明：
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HU Jun, CHEN Dong-yan, ZHAO Yan-feng. New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties[J]. 2010, 15(4): 49-54.
DOI：

HU Jun, CHEN Dong-yan, ZHAO Yan-feng. New Parameter-dependent Bounded Real Lemma for Linear Systems with Polytopic Uncertainties[J]. 2010, 15(4): 49-54. DOI：

摘要

研究了凸多面体不确定线性系统的鲁棒H∞性能问题

通过提高参数依赖线性矩阵不等式关于不确定参数的阶次

给出了线性矩阵不等式描述的鲁棒H∞性能准则

并进一步给出针对不同阶次的线性矩阵不等式表示

比较分析说明了随着阶次的增大

判别条件的保守性逐渐减少.

Abstract

The problem of robust H∞ performance of linear systems with convex polytopic uncertainties is investigated in this paper.By improving the degree of parameter-dependent linear matrix inequality with dependence on the uncertain parameters

the linear matrix inequality(LMI) representations of robust H∞ performance criteria are given.In addition

the linear matrix inequality representations for different degrees are presented.Comparison analysis shows that the conservativeness of the presented conditions decrease...

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