| Lurie控制系统鲁棒绝对稳定性的LMI方法 |
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| 引用本文： | 何勇,吴敏.Lurie控制系统鲁棒绝对稳定性的LMI方法[J].系统工程与电子技术,2003,25(1):65-67. |
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| 作者姓名： | 何勇 吴敏 |
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| 作者单位： | 中南大学信息科学与工程学院,湖南,长沙,410083 |
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| 基金项目： | 博士点基金资助课题 ( 2 0 0 0 0 5 3 3 0 3 ) |
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| 摘 要： | 对于不确定性Lurie控制系统 ,给出了一组关于Lurie型Lyapunov函数中正定矩阵和积分项系数等自由参数的线性矩阵不等式 (LMI) ,通过这组线性矩阵不等式解构造的Lyapunov函数来保证系统的鲁棒绝对稳定性 ,不必选择和调整参数。分别讨论了无穷扇形角和有限扇形角的情形 ,所获得的结果适用于系统具有多个非线性执行机构的情形。最后通过实例分析了扇形角的大小与鲁棒稳定度的关系 ,并说明了本文方法的有效性
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| 关 键 词： | Lurie控制系统 绝对稳定 鲁棒性 线性矩阵不等式 |
| 文章编号： | 1001-506X(2003)01-0065-03 |
| 修稿时间： | 2002年1月2日 |
LMI Approach for the Robust Stability of Lurie Control Systems |
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| HE Yong,WU Min.LMI Approach for the Robust Stability of Lurie Control Systems[J].System Engineering and Electronics,2003,25(1):65-67. |
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| Authors: | HE Yong WU Min |
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| Abstract: | In this paper, a group of LMIs for the free parameters such as the positive definite matrix and the cofficients of the integral terms in the Lyapunov function of Lurie form for uncertain Lurie control systems are given. The Lyapunov function constructed by the solution of these LMIs is adopted to guarantee the robust stability of the systems, and the parameters do not need to be readjusted. The cases of the finite sector and infinite sector are discussed respectively, and the conclusion is applicable to the case of multiple nonlinearities. Finally, an example is provided to demonstrate the effectiveness of the proposed method, and the relation between the size of the sector and the robustness is analyzed. |
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| Keywords: | Lurie control systems Absolute stability Robustness Linear matrix inequality |
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