| 齐次非线性系统H∞控制的输出反馈 |
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| 引用本文： | 席在荣,洪奕光,程代展.齐次非线性系统H∞控制的输出反馈[J].控制理论与应用,2000,17(3):313-316. |
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| 作者姓名： | 席在荣 洪奕光 程代展 |
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| 作者单位： | 中国科学院数学与系统科学研究院系统科学研究所,北京,100080 |
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| 基金项目： | thd National Key Project，中国科学院资助项目 |
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| 摘 要： | 研究了齐次系统Ｈ∞控制的输出反馈问题，首先给出齐次伫与二次型Ｌｙａｐｕｎｏｖ函数之间的关系，随后讨论了齐次系统Ｈ∞控制的输出反馈总理２，在适当条件下，给出了全局解，然后考虑李具有高阶扰动项的齐次系统，对此系统也得到与无扰动项时的相似结论。
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| 关 键 词： | 非线性 H∞控制 齐次系统 输出反馈 |
Nonlinear H∞ Control of Homogeneous Systems via Output Feedback |
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| XI Zairong,HONG Yiguang,CHENG Daizhan.Nonlinear H∞ Control of Homogeneous Systems via Output Feedback[J].Control Theory & Applications,2000,17(3):313-316. |
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| Authors: | XI Zairong HONG Yiguang CHENG Daizhan |
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| Abstract: | The nonlinear H∞ control problem of homogeneous systems via output feedback is considered.First of all, the relation between the homogeneous stabilizability and the quadratic Lyapunov function is given. Based on the results via state feedback and some properties related to detectability, the problem of H∞ control of homogeneous systems via output feedback is discussed.A global control law via output feedback is proposed under certain assumptions, which are consistent with the linear system case, when the considered system is linear. Then, a similar result of homogeneous systems with higher degree perturbed terms are also obtained. |
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| Keywords: | homogeneous systems output feedback |
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