| 引用本文: | 郭 雷，臧明磊 ，冯纯伯.Lur'e系统镇定问题的非线性控制器设计[J].控制理论与应用,1999,16(6):788~792.[点击复制] |
| Guo Lei，Zang Minglei，Feng Chunbo.Nonlinear Controller Design for Absolute Stabilization Control Problems*[J].Control Theory and Technology,1999,16(6):788~792.[点击复制] |
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| Lur'e系统镇定问题的非线性控制器设计 |
| Nonlinear Controller Design for Absolute Stabilization Control Problems* |
| 摘要点击 1150 全文点击 510 投稿时间：1997-05-02 修订日期：1998-06-22 |
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| DOI编号 |
| 1999,16(6):788-792 |
| 中文关键词 非线性系统 Lur'e系统 镇定 线性矩阵不等式 |
| 英文关键词 nonlinear system stabilization Lur'e system absolute stability algebraic matrix inequality |
| 基金项目 |
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| 中文摘要 |
| 本文研究了用Lur'e多非线性系统描述的被控对象的镇定问题．把问题的可解性归结到特殊的多线性矩阵不等式的可解性．非线性状态反馈和输出反馈控制器的设计分别依赖于一个双线性和三个三线性矩阵不等式的解．给出了基于线性矩阵不等式的交替寻优算法的设汁步骤. |
| 英文摘要 |
| This paper discusses the absolute stabilization problem for Lur'e systems with multiple nonlinear loops in terms of state-space approach. Solvability conditions are presented to design nonlinear controllers such that the closed-loop system is absolutely stable via the algebraic matrix inequality (AMI) approach. It is shown that feedback controllers exist if and only if a class of special multilinear matrix inequalities (MI.Mls) are solvable. Also, the AMI-based design method obtained in this paper is simplified so as to be computationally feasible and tractable. The approach can be generalized to deal with other problems such as H2,H∞ and dissipation control problem. |