| 一类非线性大系统的鲁棒反馈镇定控制器设计 |
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| 引用本文： | 章兢,张志飞.一类非线性大系统的鲁棒反馈镇定控制器设计[J].系统工程学报,2002,17(5):407-410. |
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| 作者姓名： | 章兢 张志飞 |
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| 作者单位： | 1. 湖南大学电气与信息工程学院,长沙,410082
2. 湘潭工学院信息与控制研究所,湘潭,411201 |
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| 基金项目： | 教育部骨干教师基金资助项目 (2 0 0 0 (65 ) ) |
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| 摘 要： | 通过对微分方程解的结构研究，运用比较原理和M－矩阵性质，建立了非线性关联子系统矩阵特征值与系统稳定性之间的关系，将一类复杂非线性系统的镇定问题转换成经典的特征值配置问题，文章仅需假定系统的非线性（可能含不确定性）成分具范数界，不必要求其范数满足匹配条件，所给出的方法为实际控制系统的工程设计提供了一套较完整的符合性能要求的镇定控制器算法。
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| 关 键 词： | 非线性大系统 鲁棒反馈镇定控制器 设计 M－矩阵 条件数 衰减率 微分方程解 |
| 文章编号： | 1000-5781(2002)05-0407-04 |
| 修稿时间： | 2001年5月21日 |
Robust stabilizing controller design for Lipschitz nonlinear interconnected system |
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| ZHANG Jing ,ZHANG Zhi fei.Robust stabilizing controller design for Lipschitz nonlinear interconnected system[J].Journal of Systems Engineering,2002,17(5):407-410. |
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| Authors: | ZHANG Jing ZHANG Zhi fei |
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| Institution: | ZHANG Jing 1,ZHANG Zhi fei 2 |
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| Abstract: | A relationship between the asymptotic stability of the nonlinear connected system and its eigenvalues is investigated by applying property of M matrix based on analysis of the structure of differential equations, that is used to convert the controller design to the classical pole configuration. The only assumption is that the nonlinear components possibly including uncertainties are bounded with universal norm, no restrictive as to the poly matrix structure or matched condition is need. An algebraic procedure is provided for controller that is required to satisfy performances. |
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| Keywords: | interconnected system M matrix stabilizing controller condition number decay rate |
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