Bond graphs in model matching control
Authors:
D. Vink a;
D. Ballance a;
P. Gawthrop a
| Affiliation: | a Department of Mechanical Engineering, University of Glasgow, University Avenue, Glasgow, Scotland |
DOI:
10.1080/13873950500068278
Publication Frequency:
6 issues per year
Published in:
Mathematical and Computer Modelling of Dynamical Systems,
Volume
12,
Issue
2 &
3
April
2006
, pages 249
- 261
Subjects:
Analysis - Mathematics;
Applied Mechanics;
Dynamical Control Systems;
Dynamical Systems;
Mathematical Modelling;
Mathematics & Statistics for Engineers;
Simulation & Modeling;
Formats available:
HTML
(English)
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PDF
(English)
Previously published as:
Mathematical Modelling of Systems
(1381-2424)
until 1998
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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.
|
| Keywords: Bond graph; Bicausality; Model matching; Passivity; Hamiltonian |
| view references (14) |

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