Bond graph models of structured parameter uncertainties

被引:39
作者
Kam, CS
Dauphin-Tanguy, G
机构
[1] Ecole Cent Lille, LAGIS, CNRS, UMR 8146, F-59651 Villeneuve Dascq, France
[2] IUT Rodez, F-12000 Rodez, France
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2005年 / 342卷 / 04期
关键词
bond graph; structured parameter uncertainties; standard interconnection matrix; state equation;
D O I
10.1016/j.jfranklin.2005.01.005
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Taking into account uncertainties in model parameter values is a crucial point for studying robustness in modeling and in control. This paper proposes to construct in a systematic and graphical procedure two forms of the linear state equation usually found in the literature for dealing with the robustness problem in the case of structured uncertainties on parameters. It is shown how to model uncertainties in a bond graph approach, in the case of additive or multiplicative parametric variations. (c) 2005 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:379 / 399
页数:21
相关论文
共 16 条
[1]  
Alazard D., 1999, ROBUSTESSE COMMANDE
[2]  
BORNE P, 1992, MODELISATAION IDENTI, V2
[3]  
DELARMINAT P, 1992, MATH AN DESIGN PROCE, P3
[4]  
Doyle J. C., 1979, Proceedings of the 1978 IEEE Conference on Decision and Control Including the 17th Symposium on Adaptive Processes, P12
[5]   STATE-SPACE SOLUTIONS TO STANDARD H-2 AND H-INFINITY CONTROL-PROBLEMS [J].
DOYLE, JC ;
GLOVER, K ;
KHARGONEKAR, PP ;
FRANCIS, BA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (08) :831-847
[6]  
Frank P. M., 1978, INTRO SYSTEM SENSITI
[7]  
KARNOPP D, 1975, SYSTEM DYNAMICS UNIF, P274
[8]   Design of stable systems with uncertainties and constrained performance variations [J].
Liu, J .
INTERNATIONAL JOURNAL OF CONTROL, 1997, 67 (01) :23-32
[9]  
Morton B. G., 1985, Proceedings of the 24th IEEE Conference on Decision and Control (Cat. No.85CH2245-9), P233
[10]  
MORTON GB, 1985, AM C 4, P135