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Regional Pole Placement Based on Generalized Inverse Theory(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1999年01期
Page:
23-26
Research Field:
Publishing date:

Info

Title:
Regional Pole Placement Based on Generalized Inverse Theory
Author(s):
Wang Zidong Guo Zhi
Department of Automation, NUST, Nanjing210094
Keywords:
linear systems cont inuous-time systems discrete-time systems regional pole assig nment
PACS:
TP13
DOI:
-
Abstract:
In the field of control theory and applications, regional pole placement is alw ays one of the most important methods for designing cont rol systems. In this paper, a unified circular pole placement approach is proposed for both linear cont inuous-and-discrete-time systems based on the generalized inverse theory. T he aim of this approach is to design state feedback cont rollers such that the closed-loop poles are const rained to lie w ithin a specif ied circular reg ion. This paper g ives the suff icient and necessary condit ions for the existence of desired cont rollers as w ell as the alg ebraic paramet rizat ion of these cont rollers. Compared to the ex ist ing result s, the present approach is only required to solve a linear mat rix equation, and is thus more suitable for engineering applications. Finally, a numerical example is used to show the effectiveness and directness of the present method.

References:

1 Fallside F. Control system design by pole- zero assignment . New York: Academic, 1977
2 Fur tua K, Kim S B. Pole assignment in a specified disk. IEEE Trans Automat Control, 1987, 32( 5) : 423~ 427
3 王子栋, 孙翔, 郭治. 区域极点约束下线性离散系统的鲁棒控制: 代数黎卡提方法. 自动化学报, 1996, 22( 4) : 468~ 471
4 Xu J H, Skelton R E. An improved covariance assignment theory for discrete systems. IEEE Tr ans Automat Control, 1992, 37( 10) : 1588~ 1591
5 Ben- Israel A, Greville T N E. Generalized inverse: theor y and application. New York: John Wiley and Sons, Inc, 1979
6 王子栋, 郭治.双线性随机离散系统的协方差配置控制及设计. 控制理论与应用, 1994, 11( 2) : 153~ 160

Memo

Memo:
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Last Update: 2013-03-29