东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (5): 471-474.DOI: -

• 论著 • 上一篇    下一篇

广义系统可靠保成本控制

陈跃鹏;张庆灵;翟丁;徐天群   

  1. 东北大学理学院;东北大学理学院;东北大学理学院;武汉理工大学理学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-05-15 发布日期:2013-06-24
  • 通讯作者: Chen, Y.-P.
  • 作者简介:-
  • 基金资助:
    辽宁省科技厅科技基金资助项目(2001401041);;

Reliably guaranteed cost control of descriptor systems

Chen, Yue-Peng (1); Zhang, Qing-Ling (1); Zhai, Ding (1); Xu, Tian-Qun (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Sch. of Sci., Wuhan Univ. of Technol., Wuhan 430063, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-05-15 Published:2013-06-24
  • Contact: Chen, Y.-P.
  • About author:-
  • Supported by:
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摘要： 讨论了一类不确定广义系统可靠保成本控制问题·首先给出广义系统可靠保成本控制的定义·用线性矩阵不等式(LMI)得到广义系统未出现故障时二次稳定以及所给的成本函数有界的充要条件;同时又用LMI给出当广义系统的部分执行器出现故障时,仍二次稳定以及成本函数有界的充分条件;接着给出广义系统可靠保成本控制器设计方法·

关键词: 广义系统, 可靠控制, 保成本控制, 执行器, 二次稳定, 线性矩阵不等式

Abstract: The reliably guaranteed cost control of a class of uncertain descriptor systems is discussed. The definition of reliably guaranteed cost of descriptor systems is given first. Thus, the sufficient and necessary conditions are obtained in terms of linear matrix inequalities(LMI), under which the resultant closed-loop descriptor systems are not only of quadratic stabilization but also the upper bound of the cost function when the systems are working in order. Moreover, another sufficient condition is also derived in terms of LMI, under which, when part of actuators are faulty, the resultant closed-loop descriptor systems can remain the same. Then, a reliably guaranteed cost controller is designed, with a numerical example given to illustrate the design method.

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