2001
DOI: 10.1243/0959651011540888
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Physical model-based inversion in control systems design using bond graph representation Part 1: Theory

Abstract: System inversion is a concept that often appears either implicitly or explicitly in the design of control systems (e.g. decoupling, feedback linearization or feedforward control ). This paper presents an algorithm for the representation of an inverse systems model using bond graph techniques. Structural invertibility conditions are investigated graphically and the structure of the inverse model is discussed. This graphical inversion method is carried out in parallel with classical inversion algorithms using ca… Show more

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Cited by 31 publications
(36 citation statements)
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“…Definition2 (Ngwompo et al 2001) A causal path between two variables is a set of variables successively connected according to the causality assignment.…”
Section: Model Inversion: Preliminary Resultsmentioning
confidence: 99%
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“…Definition2 (Ngwompo et al 2001) A causal path between two variables is a set of variables successively connected according to the causality assignment.…”
Section: Model Inversion: Preliminary Resultsmentioning
confidence: 99%
“…If a non-solvable causal cycle remains in the model then we can not conclude on the system invertibility. (Ngwompo et al 2001). In this case, a modification of the system structure can be an adequate solution to synthesize a system with a bond graph model verifying the invertibility condition (For example, adding an action chain).…”
Section: Model Inversion: Preliminary Resultsmentioning
confidence: 99%
“…In particular the use of non-linear modelling and control system design will be investigated. Once again, the bond graph approach can be used not only for modelling and control design but also for actuator sizing [31][32][33]. Virtual sensors.…”
Section: Discussionmentioning
confidence: 99%
“…Thus F q should be the coordination control input. The corresponding inverse dynamics (with input臇 and the output F q ) obtained using bicausal bonds [17], [18] suggests the coordination control law: PSfrag replacements…”
Section: A Coordination Control Designmentioning
confidence: 99%