北京航空航天大学学报 ›› 2000, Vol. 26 ›› Issue (3): 365-368.

• 论文 • 上一篇    下一篇

区间离散系统的鲁棒控制

张远, 贾英民   

  1. 北京航空航天大学 理学院
  • 收稿日期:1998-12-07 出版日期:2000-03-31 发布日期:2010-09-27
  • 作者简介:张 远(1972-),男,四川南川人,硕士生,100083,北京.
  • 基金资助:

    国家杰出青年科学基金资助项目(69625506)

Robust Control of Interval Discrete Systems

ZHANG Yuan, JIA Ying-min   

  1. Beijing University of Aeronautics and Astronautics,School of Science
  • Received:1998-12-07 Online:2000-03-31 Published:2010-09-27

摘要: 用值集凸分析方法研究了区间离散系统鲁棒镇定问题。当系统传函仅低次项系数受扰时,导出了一阶控制器鲁棒镇定区间系统的顶点结果,并举例说明了控制器的设计方法.

Abstract: The edge check results of the continuous interval systems are first extended to the interval discrete systems by employing the convex analysis way of value set. Further, in order to obtain some vertex check results, the discussion is limited to such a case when only lower-order coefficients of transfer function of the discrete system are disturbed. It is shown that the closed-loop stability of an interval discrete system with a first-order controller can be guaranteed by that of its vertex plants provide that the pole of the controller satisfies the corresponding inequality conditions on the highest order of the disturbed coefficients. Here, the argument growing principle plays an important role in the proof of the main conclusion. An example is also included for illustrating the obtained results.

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