Design of full-order PD observers for second-order dynamic systems

被引:0
作者
Wang Guosheng [1 ]
Liu Feng [1 ]
Liang Bing [2 ]
Duan Guangren [2 ]
机构
[1] Acad Armored Force Engn, Dept Control Engn, Beijing 100072, Peoples R China
[2] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Heilongjiang, Peoples R China
来源
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2 | 2007年
关键词
second-order dynamic systems; proportional plus derivative (PD) observers; parameterization; freedom degrees;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The design of full-order proportional plus derivative (PD) observers in second-order dynamic systems is investigated in this paper. Based on the solutions to a so-called generalized Sylvester equation, a parametric method to solve this design problem is proposed. This method presents the parametric expressions for the gain matrices and the left eigenvector matrix of the full-order PD observers. These parameters included in this method offer all the design degrees of freedom, which can be further utilized to satisfy certain specified performances, such as disturbance decoupling, LTR and robustness. In addition, this method utilizes directly the original system data and involves manipulations only on n-dimensional matrices. An illustrative example shows the effect and simpleness of the proposed method.
引用
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页码:5 / +
页数:2
相关论文
共 13 条
[1]  
Busawon KK, 2000, P AMER CONTR CONF, P3725, DOI 10.1109/ACC.2000.876916
[2]   Disturbance decoupled observer design for linear time-invariant systems: A matrix pencil approach [J].
Chu, DL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (08) :1569-1575
[3]  
Duan GR, 2001, INT J SYST SCI, V32, P533, DOI 10.1080/002077201300080992
[4]   FAULT-DETECTION AND ISOLATION OBSERVERS [J].
HOU, M ;
MULLER, PC .
INTERNATIONAL JOURNAL OF CONTROL, 1994, 60 (05) :827-846
[5]   Eigenstructure assignment algorithm for mechanical second-order systems [J].
Kim, Y ;
Kim, HS ;
Junkins, JL .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1999, 22 (05) :729-731
[6]   CONTROLLABILITY AND OBSERVABILITY CRITERIA FOR MULTIVARIABLE LINEAR 2ND-ORDER MODELS [J].
LAUB, AJ ;
ARNOLD, WF .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (02) :163-165
[7]   INTRODUCTION TO OBSERVERS [J].
LUENBERGER, DG .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1971, AC16 (06) :596-+
[8]   Model refinement using eigensystem assignment [J].
Maghami, PG .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2000, 23 (04) :683-692
[9]   LTR design of discrete-time proportional-integral observers [J].
Shafai, B ;
Beale, S ;
Niemann, HH ;
Stoustrup, JL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (07) :1056-1062
[10]  
Shafai B, 2002, P AMER CONTR CONF, V1-6, P1647, DOI 10.1109/ACC.2002.1023258