华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (1): 42-46.

• 数学 • 上一篇    下一篇

一类非线性不确定奇摄动系统的全局鲁棒控制

王隔霞, 陈坤, 汪志鸣   

  1. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2005-12-01 修回日期:2006-05-26 出版日期:2007-01-25 发布日期:2007-01-25
  • 通讯作者: 汪志鸣

Global Robust Control for a Class of Singularly Perturbed Systems with Nonlinear Uncertainties(Chinese)

WANG Ge-xia, CHEN Kun, WANG Zhi-ming   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2005-12-01 Revised:2006-05-26 Online:2007-01-25 Published:2007-01-25
  • Contact: WANG Zhi-ming

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.

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

Abstract: The global robust stabilization problem for a class of
nonlinear uncertain two-time scale systems was studied. The robust
composite feedback control for the whole systems was obtained by
applying the two-time scale design approach, and the upper stability
bound of $\varepsilon $ was also given. Finally, examples of the
application of the result were presented.

Key words: two-time scale design, composite control, robust stabilization, singularly perturbed systems, two-time scale design, composite control, robust stabilization

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