| 一类非线性不确定奇摄动系统的全局鲁棒控制 |
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| 引用本文： | 王隔霞,陈坤,汪志鸣.一类非线性不确定奇摄动系统的全局鲁棒控制[J].华东师范大学学报(自然科学版),2007,2007(1):42-46. |
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| 作者姓名： | 王隔霞 陈坤 汪志鸣 |
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| 作者单位： | 华东师范大学,数学系,上海,200062 |
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| 基金项目： | 国家自然科学基金
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上海市重点学科建设项目 |
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| 摘 要： | 研究一类具有非线性扰动的奇摄动控制系统的全局鲁棒控制问题. 通过采用两时标方法分别对快慢系统设计稳定控制器, 并由此给出对整个系统的组合控制, 它使整个系统全局鲁棒镇定. 同时, 给出稳定界的估计. 最后给出了定理结果应用的例子.
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| 关 键 词： | 奇摄动系统 两时标设计 组合控制 鲁棒镇定 奇摄动系统 两时标设计 组合控制 鲁棒镇定 |
| 文章编号： | 1000-5641（2007）01-0042-05 |
| 收稿时间： | 2005-12 |
| 修稿时间： | 2005-12 |
Global Robust Control for a Class of Singularly Perturbed Systems with Nonlinear Uncertainties(Chinese) |
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| WANG Ge-xia,CHEN Kun,WANG Zhi-ming.Global Robust Control for a Class of Singularly Perturbed Systems with Nonlinear Uncertainties(Chinese)[J].Journal of East China Normal University(Natural Science),2007,2007(1):42-46. |
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| Authors: | WANG Ge-xia CHEN Kun WANG Zhi-ming |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| Abstract: | The global robust stabilization problem for a class ofnonlinear uncertain two-time scale systems was studied. The robustcomposite feedback control for the whole systems was obtained byapplying the two-time scale design approach, and the upper stabilitybound of $\varepsilon $ was also given. Finally, examples of theapplication of the result were presented. |
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| Keywords: | singularly perturbed systems two-time scale design composite control robust stabilization |
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