Bond graphs in model matching control

Vink, D., Ballance, D.J. and Gawthrop, P.J. (2006) Bond graphs in model matching control. Mathematical and Computer Modelling of Dynamical Systems, 12(2-3), pp. 103-105. (doi: 10.1080/13873950500068278)

Abstract

Bond graphs are primarily used in the network modeling of lumped parameter physical systems, but controller design with this graphical technique is relatively unexplored. It is shown that bond graphs can be used as a tool for certain model matching control designs. Some basic facts on the nonlinear model matching problem are recalled. The model matching problem is then associated with a particular disturbance decoupling problem, and it is demonstrated that bicausal assignment methods for bond graphs can be applied to solve the disturbance decoupling problem as to meet the model matching objective. The adopted bond graph approach is presented through a detailed example, which shows that the obtained controller induces port-Hamiltonian error dynamics. As a result, the closed loop system has an associated standard bond graph representation, thereby rendering energy shaping and damping injection possible from within a graphical context.

• Item Type: Articles
• Keywords: Bond graph, Bicausality, Model matching, Passivity, Hamiltonian
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Gawthrop, Professor Peter and Ballance, Dr Donald
• Authors: Vink, D., Ballance, D.J., and Gawthrop, P.J.
• Subjects: T Technology > TA Engineering (General). Civil engineering (General); T Technology > T Technology (General)
• College/School: College of Science and Engineering > School of Engineering > Systems Power and Energy
• Research Group: Centre for Systems and Control
• Journal Name: Mathematical and Computer Modelling of Dynamical Systems
• Publisher: Taylor and Francis
• ISSN: 1744-5051
• Copyright Holders: Copyright © 2006 Taylor and Francis
• First Published: First published in Mathematical and Computer Modelling of Dynamical Systems 12(2-3):103-105
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher