| 带状态时滞和输入时滞的不确定非线性系统的鲁棒H_∞控制 |
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| 引用本文： | 李永钊,吴保卫.带状态时滞和输入时滞的不确定非线性系统的鲁棒H_∞控制[J].河南师范大学学报(自然科学版),2010,38(2). |
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| 作者姓名： | 李永钊 吴保卫 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,西安,710062 |
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| 基金项目： | 国家自然科学基金，陕西自然科学基础研究计划项目 |
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| 摘 要： | 针对一类带有状态时滞和输入时滞的不确定非线性系统,研究了鲁棒H∞控制问题.在适当的假设下利用Lyapunov稳定性方法,并采用一个新的积分不等式方法,用线性矩阵不等式的形式给出了系统鲁棒能稳和鲁棒H∞控制的时滞依赖条件,其保守性小于已有的结果.最后给出数值例子验证了所给结论的可行性和有效性.
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| 关 键 词： | 不确定性 状态时滞 输入时滞 鲁棒H∞控制 线性矩阵不等式(LMI) |
Robust H∞ Control for Uncertain Nonlinear Dynamic Systems With Time-varying Delays in State and Control Input |
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| LI Yong-zhao,WU Bao-wei.Robust H∞ Control for Uncertain Nonlinear Dynamic Systems With Time-varying Delays in State and Control Input[J].Journal of Henan Normal University(Natural Science),2010,38(2). |
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| Authors: | LI Yong-zhao WU Bao-wei |
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| Abstract: | The paper considers robust H∞ control problem for uncertain nonlinear dynamic systems with time-varying delays in state and control input. Based on the proper Lyapunov functional and using a new integral inequality,delay-dependent robust stabilization criteria and robust H∞ control are proposed for such systems in terms of Linear matrix inequality (LMIs),which is less conservative than existing results. Finally,a numerical example is given to illustrate the feasibility of the designed method. |
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| Keywords: | uncertainty state time-delay input time-delay robust H∞ control linear matrix inequality(LMI) |
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