| 分数阶区间系统的鲁棒稳定性分析 |
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| 引用本文： | 衡丽君,卢俊国.分数阶区间系统的鲁棒稳定性分析[J].微型电脑应用,2011,27(6):14-17,1. |
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| 作者姓名： | 衡丽君 卢俊国 |
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| 作者单位： | 上海交通大学自动化系,上海市闵行区,200240 |
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| 基金项目： | 国家自然科学基金，上海市自然科学基金 |
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| 摘 要： | 由于实际的物理系统常会存在各种不确定结构,这些不确定结构给系统的稳定性分析带来了困难和一定的影响,因此对这类带有不确定结构的分数阶系统控制问题的研究,具有广泛的实际应用意义。本文主要针对带有区间不确定性的分数阶控制系统,分析了该系统的鲁棒稳定性问题,首先将区间矩阵用分式线性变换(LFT)表示,然后基于分析得出了此类系统鲁棒稳定的充分必要条件。并给出两个数值算例阐释该方法,仿真结果表明了该方法的有效性。
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| 关 键 词： | 分数阶系统 区间系统 鲁棒稳定 线性分式变换 |
Robust Stability Analysis for Fractional Order Interval Systems |
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| Heng Lijun,Lu Junguo.Robust Stability Analysis for Fractional Order Interval Systems[J].Microcomputer Applications,2011,27(6):14-17,1. |
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| Authors: | Heng Lijun Lu Junguo |
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| Affiliation: | Heng Lijun,Lu Junguo (Department of Automation,Shanghai Jiao Tong University,Shanghai 200240,China) |
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| Abstract: | Since most physical systems always contain various uncertainties, these bring difficulties to robust stability analysis and controller design of thesystems. Therefore, it is significant in practice to do research on the control theory of uncertain fractional-order systems. This paper considers robuststability for a class of fractional order uncertain systems with interval perturbations. Necessary and sufficient conditions based on the representation for aninterval matrix and μ-analysis tools are obtained. Two examples are given to illustrate the proposed results. Numerical simulations show the effectivenessof the proposed method. |
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| Keywords: | Fractional Order Systems Interval Systems Robust Stability Linear Fraction Transformation (LFT) |
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