Structural Properties of Inverse Models Represented by Bond Graph

Feki, Mariem El; Loreto, Michaël Di; Bideaux, Éric; Thomasset, Daniel; Ngwompo, Roger F.

doi:10.3182/20080706-5-kr-1001.00040

Cited by 3 publications

(3 citation statements)

References 17 publications

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“…Property 2 [22] In the right inverse model, when it exists, the essential order inverses and this justifies the structural properties (9) and (10) which the filters must satisfy for the filtered inverse to be proper dynamical systems. A bond graph approach to this problem is presented in the next section.…”

Section: Propertymentioning

confidence: 81%

“…Property 2 [22] In the right inverse model, when it exists, the essential order a R i of the ith output component y i (t) as defined by ( 16) or (18) is the highest derivative of the ith output component y i (t) in the inverse model, i.e. required for the determination of all input components.…”

Section: Propertymentioning

confidence: 99%

“…the length of the shortest causal path linking any input component to the outputs (or relative degrees) as indicated inFig.4). It can therefore be deduced that the essential orders of the outputs as defined in(22This result can also be derived from the inverse bond graph inFig. 5using Property 4 where the highest order of the causal path linking the outputs to any input component can be verified…”

mentioning

confidence: 95%

See 2 more Smart Citations

Bond graph-based filtered inversion of multivariable physical systems

Ngwompo

2011

Proceedings of the Institution of Mechanical Engineers, Part I:

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In a variety of fields, system inversion is often required in order to determine inputs from measured or for desired outputs. However, inverse systems are often non-proper in the sense that they require differentiators in their realisation. This leads to numerical difficulties associated with the computer implementation of their mathematical models. To overcome these problems, approximate inversion also referred to as filtered inversion is proposed for systems modelled by bond graphs. Generic configurations of right and left filtered inverse bond graph models are proposed with dynamic structural conditions on the filters so that the resulting composite bond graph represents a proper system suitable for effective numerical implementations.

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Section: Propertymentioning

confidence: 81%

Section: Propertymentioning

confidence: 99%

mentioning

confidence: 95%

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Bond graph-based filtered inversion of multivariable physical systems

Ngwompo

2011

Proceedings of the Institution of Mechanical Engineers, Part I:

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The Bond Graph Formalism for an Energetic and Dynamic Approach of the Analysis and Synthesis of Multiphysical Systems

Roboam

Bideaux

Dauphin-Tanguy

et al. 2012

Systemic Design Methodologies for Electrical Energy Systems

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Determination of Essential Orders From a Bond Graph Model

Feki¹,

Jardin²,

Marquis-Favre³

et al. 2012

Journal of Dynamic Systems, Measurement, and Control

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The notion of essential orders was first introduced for the handling of decoupling problems. This paper focuses more on their interpretation, namely on the fact that each essential order corresponds to the highest time-differentiation order of a specific output appearing in the inverse model. During inverse modeling, this can in particular be useful for checking whether the specifications are appropriate to the structure of the given model. The aim of this paper is to define two procedures to graphically determine the essential orders directly from a bond graph (BG) model of a linear time-invariant system. Their usefulness is then justified in the context of a bond-graph based methodology for design problem analysis.

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Structural Properties of Inverse Models Represented by Bond Graph

Cited by 3 publications

References 17 publications

Bond graph-based filtered inversion of multivariable physical systems

Bond graph-based filtered inversion of multivariable physical systems

The Bond Graph Formalism for an Energetic and Dynamic Approach of the Analysis and Synthesis of Multiphysical Systems

Determination of Essential Orders From a Bond Graph Model

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