| 关于 Lur' e非线性系统的绝对镇定(英文) |
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| 引用本文： | 陈阳舟.关于 Lur' e非线性系统的绝对镇定(英文)[J].北京工业大学学报,1999,25(3):5-10. |
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| 作者姓名： | 陈阳舟 |
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| 作者单位： | 北京工业大学自动化系!北京，100022 |
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| 摘 要： | 讨论了Lur'e非线性系统的绝对镇定问题．给出了系统能通过二次型李雅普诺夫函数（QLF）由一个线性状态反馈（LSF）镇定的充分必要条件，同时构造了一类镇定系统的线性状态反馈控制．论文也给出检验系统能镇定性并且构造镇定控制律的算法．
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| 关 键 词： | Lur'e非线性系统 绝对镇定 代数黎卡提不等式（ARI） 代数黎卡提方程（ARE） 频率条件 线性状态反馈 |
On Absolute Stabilization of the Lur'e Nonlinear System |
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| Chen Yangzhou.On Absolute Stabilization of the Lur'e Nonlinear System[J].Journal of Beijing Polytechnic University,1999,25(3):5-10. |
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| Authors: | Chen Yangzhou |
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| Abstract: | This Paper is concerned with the absolute stabilization of the Lur'e nonlinearsystem. A set of necessary and sufficient conditions of absolute stabilizability by a linearstate feedback (LSF) via a quadratic Lyapunov function (QLF) are derived. One class ofLSF controls is meanwhile constructed for stabilizing the system. We also present severalalgorithms for testing the stabilizability and constructing the stabilizing control law. |
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| Keywords: | Lur'e nonlinear system absolute stabilizability algebraic Riccati inequality (ARI) algebraic Riccati equation (ARE) frequency condition linear state feedback |
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