状态与输出均有滞后的不确定广义系统的非脆弱H控制

高彦平;高存臣

系统科学与数学 ›› 2008, Vol. 28 ›› Issue (3) : 350-359.

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PDF(350 KB)
系统科学与数学 ›› 2008, Vol. 28 ›› Issue (3) : 350-359. DOI: 10.12341/jssms10070
论文

状态与输出均有滞后的不确定广义系统的非脆弱H控制

    高彦平, 高存臣
作者信息 +

Non-Fragile H_{\infty} Control for Uncertain Singular Systems with Delay both in State Equation and Output Equation

    GAO Yanping, GAO Cunchen
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文章历史 +

摘要

针对带有状态滞后的连续广义系统,给出了其广义二次稳定且满足一定H性能的充分条件,并利用线性矩阵不等式技术,得到了带有状态滞后和不确定性的连续广义系统的含有控制器增益扰动的鲁棒H控制器的设计方法.最后,所举数值例子说明了该方法的应用.

Abstract

A sufficient condition ensuring both generalized quadratic stability and H performance level for continuous singular systems with state delays is given. Based on this, a LMI method is used to design robust controllers which is subjected to controller gain perturbation. Finally, a numerical example shows the efficiency of the proposed approach.

关键词

连续广义系统 / H控制 / 广义二次稳定 / 线性矩阵不等式 / 非脆弱控制.

Key words

Continuous singular system / H control / generalized quadratic stability / LMI / non-fragile control.

引用本文

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高彦平 , 高存臣. 状态与输出均有滞后的不确定广义系统的非脆弱H控制. 系统科学与数学, 2008, 28(3): 350-359. https://doi.org/10.12341/jssms10070
GAO Yanping , GAO Cunchen. Non-Fragile H_{\infty} Control for Uncertain Singular Systems with Delay both in State Equation and Output Equation. Journal of Systems Science and Mathematical Sciences, 2008, 28(3): 350-359 https://doi.org/10.12341/jssms10070
中图分类号: 93B36    93B52    34H05   
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