A bond graph model of a singularly perturbed LTI MIMO system with a slow state estimated feedback

被引:7
作者
Gonzalez-A, Gilberto [1 ]
机构
[1] Univ Michoacan, Fac Elect Engn, Morelia, Michoacan, Mexico
关键词
Bond graph; singular perturbations; quasi-steady state model; feedback control; observer; PERTURBATIONS; OBSERVERS; REDUCTION;
D O I
10.1177/0959651816655038
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A bond graph model for a closed-loop linear time invariant multiple input multiple output system with singular perturbations is presented. This system is formed by a plant, an observer and the feedback. Hence, the storage elements that represent the slow dynamics of the observer determine the feedback control. Also, a junction structure of the bond graph model for the closed-loop system with singular perturbations is proposed. A new bond graph to obtain the observer and controller gains of the closed-loop system is presented. This new bond graph has the characteristic that storage elements of the fast dynamics and slow dynamics have a derivative and integral causality assignment, respectively. Thus, a quasi-steady state model of a singularly perturbed system with a slow state estimated feedback is obtained. Finally, the proposed methodology is applied to an illustrative example.
引用
收藏
页码:799 / 819
页数:21
相关论文
共 29 条
[1]  
[Anonymous], IEE CONTROL ENG SERI
[2]  
Brown ForbesT., 2001, Engineering System Dynamics
[3]  
Cao LY, 2002, P AMER CONTR CONF, V1-6, P1627, DOI 10.1109/ACC.2002.1023255
[4]  
Chow JH, 1984, AUTOMATICA, V20, P273
[5]   ORDER REDUCTION OF MULTI-TIME SCALE SYSTEMS USING BOND GRAPHS, THE RECIPROCAL SYSTEM AND THE SINGULAR PERTURBATION METHOD [J].
DAUPHINTANGUY, G ;
BORNE, P ;
LEBRUN, M .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1985, 319 (1-2) :157-171
[6]  
Gajic Z, 2000, P AMER CONTR CONF, P2420, DOI 10.1109/ACC.2000.878615
[7]   Physical model-based control: A bond graph approach [J].
Gawthrop, PJ .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1995, 332B (03) :285-305
[8]  
Gilberto GA, 2002, PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS, VOLS 1 & 2, P1183, DOI 10.1109/CCA.2002.1038773
[9]  
Gonzalez-A G, 2013, MATH COMP MODEL DYN, V19, P483
[10]   OBSERVING THE SLOW STATES OF A SINGULARLY PERTURBED SYSTEM [J].
JAVID, SH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (02) :277-280