| 一类不确定非线性系统的鲁棒H∞控制 |
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| 引用本文： | 王向东,高立群,张嗣瀛.一类不确定非线性系统的鲁棒H∞控制[J].自动化学报,1999,25(2):221-225. |
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| 作者姓名： | 王向东 高立群 张嗣瀛 |
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| 作者单位： | 1.东北大学自控系,沈阳 |
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| 基金项目： | 国家自然科学基金资助,辽宁省自然科学基金 |
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| 摘 要： | 讨论了在自由系统和输入通道都带有有界不确定性的仿射非线性系统的鲁棒H∞
控制问题,给出了状态反馈控制设计,对所有允许的不确定性它既能保证关于H∞模的干扰
抑制品质,又能镇定该系统.同时指出如果一个相应的Hamilton-Jacobi不等式有非负解,则
该不确定仿射非线性系统的鲁棒H∞控制问题可解.
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| 关 键 词： | 不确定性 非线性系统 鲁棒H∞控制 |
| 收稿时间： | 1997-4-7 |
ROBUST H∞ CONTROL FOR UNCERTAIN NONLINEAR SYSTEMS VIA STATE FEEDBACK |
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| WANG Xiangdong,GAO Liqun,ZHANG Siying.ROBUST H∞ CONTROL FOR UNCERTAIN NONLINEAR SYSTEMS VIA STATE FEEDBACK[J].Acta Automatica Sinica,1999,25(2):221-225. |
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| Authors: | WANG Xiangdong GAO Liqun ZHANG Siying |
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| Affiliation: | 1.Dept.of Automatic Control,Northeastern Univ..Shenyang |
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| Abstract: | In this paper, we discuss the robust H∞ control problem for a class of
affine nonlinear systems with norm-bounded uncertainties in both free system and
input matrices. We present a state feedback control design which stabilizes the plant
and guarantees an H∞ norm bound constrain on disturbance attenuation for all admissible
uncertainties. The robust Ha control problem is solved by finding a solution
for Hamilton-Jacobi inequality, which is the nonlinear analogy of Riccati inequality
appearring in study of H∞ control problem of linear system. |
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| Keywords: | Uncertainty nonlinear system robust H∞ control |
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