| 一类非线性系统的时滞相关H∞控制 |
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| 引用本文： | 刘碧玉,冯良文,颜爱民,刘建刚.一类非线性系统的时滞相关H∞控制[J].数学理论与应用,2013(2):49-55. |
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| 作者姓名： | 刘碧玉 冯良文 颜爱民 刘建刚 |
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| 作者单位： | [1]中南大学数学与统计学院,长沙410083 [2]中南大学商学院,长沙410083 [3]中南大学信息科学与工程学院,长沙410083 |
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| 摘 要： | 本文研究一类非线性控制系统的时滞相关日。控制问题．首先通过构造恰当的Lyapunov泛函，设计非线性H∞控制器，得到了该类非线性控制系统渐近稳定的一个充分条件．其次通过建立具有线性矩阵不等式（LMI）约束的凸优化问题，得到了该类非线性系统的时滞相关H∞性能的一个充分条件．MATLAB仿真验证了本文方法的可行性．
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| 关 键 词： | 时滞相关 非线性控制系统 H∞控制 线性矩阵不等式 |
Delay-dependent H-infinity Control of a Nonlinear System |
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| Liu Biyu,Feng Liangwen,Yan Aimin,Liu Jiangang.Delay-dependent H-infinity Control of a Nonlinear System[J].Mathematical Theory and Applications,2013(2):49-55. |
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| Authors: | Liu Biyu Feng Liangwen Yan Aimin Liu Jiangang |
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| Institution: | 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;2. School of Business, Central South University, Changsha 410083, China;3 School of Information Science and Engineering, Central South University, Changsha 410083,China) |
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| Abstract: | This paper studies the delay - dependent H - infinity control problem related to a nonlinear system. A suf-ficient condition for the asymptotical stability of the system is obtained by constructing a suitable Lyapunov functional and a nonlinear H - infinity controller, and a sufficient condition for the delay - dependent H - infinity performance of the system is also obtained by relating it a convex optimization problem subject to a linear matrix inequality （LMI）. The simulations by MATLAB show the feasibility of our methodologies. |
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| Keywords: | Delay - dependent Nonlinear control system H - infinity control Linear matrix inequality |
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