线性时滞系统时滞相关H~∞输出反馈控制器设计

姜偕富;费树岷;冯纯伯

系统科学与数学 ›› 2001, Vol. 21 ›› Issue (1) : 115-122.

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PDF(370 KB)
系统科学与数学 ›› 2001, Vol. 21 ›› Issue (1) : 115-122. DOI: 10.12341/jssms09716
论文

线性时滞系统时滞相关H~∞输出反馈控制器设计

    姜偕富(1),费树岷(2),冯纯伯(2)
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DELAY-DEPENDENT H~∞ OUTPUT FEEDBACK CONTROL FOR LINEAR TIME-DELAY SYSTEM

    Xie Fu JIANG(1),Shu Min FEI(2),Chun Bo FENG(2)
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摘要

对于存在状态时滞的线性时滞系统,研究了无记忆时滞相关H~∞输出反馈控制器分析和综合问题,通过解两个相应的Riccati矩阵不等式即可求得满足设计要求的H~∞输出反馈控制器,所得结论与时滞无关H~∞输出反馈控制器相比具有较小的保守性.最后给出一个仿真实例以说明结论的有效性.

Abstract

This paper focuses on analysis and synthesis of memoryless delay-dependent output feedback H~∞ controller for linear time delay system with delayed state.The output feedback H~∞ controller,which satisfied the needs of design demands,is obtained by the solutions of 2-Riccati equations.The results which compare with the delay-independent output feedback H~∞ controller have better conservativeness.Finally an example is presented to show the effectiveness of our result.

关键词

时滞系统 / Riccati方程 / 内部渐近稳定性

Key words

Time-delay system / Riccati equation / asymptotic stability / output feedback H control

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姜偕富 , 费树岷 , 冯纯伯. 线性时滞系统时滞相关H~∞输出反馈控制器设计. 系统科学与数学, 2001, 21(1): 115-122. https://doi.org/10.12341/jssms09716
Xie Fu JIANG , Shu Min FEI , Chun Bo FENG. DELAY-DEPENDENT H~∞ OUTPUT FEEDBACK CONTROL FOR LINEAR TIME-DELAY SYSTEM. Journal of Systems Science and Mathematical Sciences, 2001, 21(1): 115-122 https://doi.org/10.12341/jssms09716
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