| 线性时不变参数多项式系统鲁棒指数稳定性的LMI方法 |
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| 引用本文： | 张鹏,赵克友. 线性时不变参数多项式系统鲁棒指数稳定性的LMI方法[J]. 青岛大学学报(工程技术版), 2009, 24(1): 25-29 |
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| 作者姓名： | 张鹏 赵克友 |
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| 作者单位： | 青岛大学自动化工程学院,山东,青岛,266071;青岛大学自动化工程学院,山东,青岛,266071 |
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| 摘 要： | 为研究线性时不变参数多项式系统的鲁棒渐近稳定性（RAS）和指数率7鲁棒渐近稳定性（RAS，），采用参数依赖李亚普诺夫函数法和S—procedure技巧，将所提问题转化为线性矩阵不等式（LMI）的可解性检测。当指数衰减率趋于零时，由RAS，结果可导出相应RAS的结果。数值算例显示结论的正确性和计算有效性。
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| 关 键 词： | 鲁棒渐近稳定性 鲁棒指数稳定性 线性时不变参数多项式系统 参数依赖李亚普诺夫函数 LMI |
A Novel LMI Approach to the Robustly Exponential Stability for Linear Time-Invariant Parameter-Polynomial Systems |
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| ZHANG Peng,ZHAO Ke-you. A Novel LMI Approach to the Robustly Exponential Stability for Linear Time-Invariant Parameter-Polynomial Systems[J]. Journal of Qingdao University(Engineering & Technology Edition), 2009, 24(1): 25-29 |
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| Authors: | ZHANG Peng ZHAO Ke-you |
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| Affiliation: | College of Automation Engineering;Qingdao University;Qingdao 266071;China |
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| Abstract: | This article investigates the robustly asymptotical stability （RAS） and the robustly asymptotical stability with exponential rate γ （RASγ） for linear time-invariant parameter-polynomialsystems. By adopting the parameter-dependent Lyapunov function method and the S-procedure technique, the article presents a novel approach to transform the problems presented, respectively into the feasibility test of a linear matrix inequality （LMI）. The result of RAS is obtained from the one of RASr as the exponential rate tends to zero. A numerical example shows correctness and calculation validity of the results. |
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| Keywords: | LMI |
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