| 一类非线性系统的鲁棒控制器设计 |
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| 引用本文： | 石厅,鲁仁全,薛安克.一类非线性系统的鲁棒控制器设计[J].杭州电子科技大学学报,2005,25(6):28-31. |
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| 作者姓名： | 石厅 鲁仁全 薛安克 |
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| 作者单位： | 杭州电子科技大学自动化学院,浙江,杭州,310018 |
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| 摘 要： | 该文研究了一类不确定非线性系统的鲁棒镇定控制器设计问题，该非线性系统的时变参数不确定性满足范数有界条件，非线性不确定项位于有限霍尔维茨角域。首先分析了系统鲁棒稳定的条件，接着基于线性矩阵不等式的方法得到了系统鲁棒镇定控制器设计的充分条件，通过求解一个线性矩阵不等式便得到了鲁棒镇定控制器。最后通过数值仿真例子进行了验证，仿真结果表明了该文所得结果较之已有的结果保守性明显降低。
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| 关 键 词： | 非线性系统 线性矩阵不等式 鲁棒镇定 状态反馈 鲁棒控制器 |
| 文章编号： | 1001-9146（2005）06-0028-04 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005-06-20 |
Design of Robust Controller for a Class of Nonlinear Uncertain Systems |
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| SHI Ting,LU Ren-quan,XUE An-ke.Design of Robust Controller for a Class of Nonlinear Uncertain Systems[J].Journal of Hangzhou Dianzi University,2005,25(6):28-31. |
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| Authors: | SHI Ting LU Ren-quan XUE An-ke |
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| Affiliation: | School of Automation, Hangzhou Dianzi University, Hangzhou Zhejiang 310018, China |
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| Abstract: | In this paper,the problem of robust stabilizing control for a class of nonlinear uncertain systems is studied.The parameter uncertainty in the systems is norm-bounded and time-varying.The nonlinear terms are constrained in the finite Hurwitz sector.A sufficient condition for the existence of robust stabilizing controllers is given based on the approach of linear matrix inequality(LMI).Finally,a numerical example is given to illustrate the design procedures and their effectiveness. |
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| Keywords: | nonlinear system linear matrix inequality(LMI) robust control state feedback |
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