非方广义系统带干扰抑制的奇异LQ次优控制问题

非方广义系统带干扰抑制的奇异LQ次优控制问题

陈莉^1,2

.山东经济学院概率统计与保险精算研究所，山东济南250014；2.山东大学控制科学与工程学院，山东济南250061

收稿日期:2005-09-01 修回日期:2005-10-30 出版日期:2006-10-24 发布日期:2006-10-24

Singular LQ suboptimal control problem with disturbance rejection

CHEN Li^1,2

1.Institute of Statistics and Actuary, Shandong Economic University,.School of Control Science and Engineering, Shandong University, Jinan 250061

Received:2005-09-01 Revised:2005-10-30 Online:2006-10-24 Published:2006-10-24
Contact: CHEN Li

摘要/Abstract

摘要： 研究了非方广义系统带干扰抑制的奇异线性二次指标次优控制问题(LQ次优控制问题).在给定的条件下，存在次优控制—状态对使得闭环系统的性能指标被控制在尽量小的范围之内，次优控制可被综合为状态反馈，闭环系统的任意有限特征值均在开左半复平面，闭环系统的状态有最少自由元.

关键词: 非方广义系统, 奇异线性二次指标, 状态反馈 , 次优控制, 干扰抑制

Abstract: A singular linear quadratic suboptimal control problem (LQ suboptimal control problem) is considered for nonregular descriptor systems with disturbance rejection. Under the given conditions, a suboptimal controlstate pair can be found such that the performance of the closedloop system is within some range. The suboptimal control can be synthesized as state feedback. All the finite eigenvalues of the closedloop system are located on the open lefthalf complex plane and the state of the closedloop system has the least free entries.

Key words: state feedback , suboptimal control, disturbance rejection, singular linear quadratic cost, nonregular descriptor systems

中图分类号:

陈莉, . 非方广义系统带干扰抑制的奇异LQ次优控制问题[J]. J4, 2006, 41(2): 74-77 .

CHEN Li, . Singular LQ suboptimal control problem with disturbance rejection[J]. J4, 2006, 41(2): 74-77 .

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