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基于LMIs的不确定线性切换系统H_∞鲁棒控制 被引量：21

H_∞ robust control of uncertain switched linear systems based on LMIs
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摘要 基于线性矩阵不等式(LMI)和H∞控制理论,研究一类不确定线性切换系统在任意切换策略下的H∞鲁棒控制问题.系统矩阵和输入矩阵都含有时变不确定性.首先利用矩阵Schur补引理构造LMI,得到该系统在H∞意义下渐近稳定的充分条件;然后给出了在状态反馈下和输出反馈下的H∞鲁棒稳定性的充分条件;最后用数值例子验证了文中结果的正确性. The problem of H∞ robust control for uncertain switched linear systems under arbitrary switching laws based on LMI is studied, time-varying uncertainties are contained in both state matrix and input matrix. Firstly, by constructing linear matrix inequalities via Schur complement formula, a sufficient condition of H∞ robust stability is presented in terms of matrix inequality. Next, sufficient condition of H∞ robust stability is given under state feedback and output feedback. These matrix inequalities can be solved easily with Matlab LMI toolbox. Finally, a numerical example illustrates the effectiveness of the method.
作者 孙文安 赵军
机构地区 东北大学信息科学与工程学院
出处 《控制与决策》 EI CSCD 北大核心 2005年第6期650-655,678,共7页 Control and Decision
基金 国家自然科学基金项目(60274009) 高等学校博士学科点专项科研基金项目(20020145007) 辽宁省自然科学基金项目(20032020).
关键词 线性切换系统 N∞性能 线性矩阵不等式 渐近稳定性 Schur补公式 Asymptotic stability Linear control systems Robustness (control systems) Switching systems
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献9

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  • 3Nie H, Zhao J. Hybrid state feedback H∞ robust control for a class of linear systems with time-varying norm-bounded uncertainty[A]. Proc of the American Control Conf[C]. Denver,2003: 3608-3613.
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控制与决策
2005年 第6期

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