On The Role Of Essential Orders On Feedback Decoupling And Model Inversion: Bond Graph Approach

Feki, Mariem El; Loreto, Michaël Di; Bideaux, Éric; Thomasset, Daniel; Marquis-Favre, Wilfrid

doi:10.7148/2008-0457

Cited by 4 publications

(4 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Definition 7 [23] In the inverse bond graph model, the order v p ð Þ of an output-input causal path p is defined as…”

Section: Property 3 [23]mentioning

confidence: 99%

“…In this example, the right filters 'Filter_Ri' or specification systems are chosen as RLC circuits in serial or parallel configurations and driven by voltage or current sources with the output selected so as to match the effort or flow variable type of the output and to satisfy the relative degree conditions (23). The overall right filtered inverse configuration is given in Fig.…”

Section: Right Filtered Inversementioning

confidence: 99%

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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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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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“…Definition 7 [23] In the inverse bond graph model, the order v p ð Þ of an output-input causal path p is defined as…”

Section: Property 3 [23]mentioning

confidence: 99%

Section: Right Filtered Inversementioning

confidence: 99%

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 determination of essential order uses the notion of structure at infinity of the transfer matrix, used in control theory among other for feedback decoupling or perturbation rejection [3], for which several graph-theoretical determination procedures have been developed for structured systems with directed graph (digraph) [4] [5] and bond graph [6] [7]. For model inversion problems of regular systems, the existing algebraic structural framework [8] has been derived in bond graph with the determination of structural inversibility conditions [9] [10], determination of relative degrees [6] [10] and determination of essential orders [11] [12] [13].…”

Section: Introductionmentioning

confidence: 99%

Definition of Essential Order on Descriptor Systems and its Bond Graph Determination

Lagnier

Ebérard

Loreto

et al. 2016

2016 Internatonal Conference on Bond Graph Modeling (ICBGM 2016) Proceedings

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In the context of model inversion, a structural invariant of the transfer matrix, the essential order, is used as a model specification criterion to determine the highest time-differentiation order reached by an output in the inverse model. Originally defined for linear timeinvariant (LTI) regular systems, we propose an algebraic extension to the class of LTI descriptor systems with regular matrix pencil and show that, from a descriptor system inversion viewpoint, this invariant characterizes the highest time-differentiation of the output like in the regular case. A bond graph determination procedure on the direct model is given using (bi)causal path inspection and the notion of families of different causal paths.

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“…diagnosability [Ould-Bouamama 2003], and also for static and dynamic decoupling [Feki 2008]. However, far too little attention has been paid to control re-design analysis e.g., [Samantaray 2008a].…”

Section: Introductionmentioning

confidence: 99%

Bond Graph Model Based on Structural Diagnosability and Recoverability Analysis: Application to Intelligent Autonomous Vehicles

Loureiro

Merzouki

Bouamama

2012

IEEE Trans. Veh. Technol.

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It is time to write the acknowledgments. I will do my best. First of all, I would like to show my gratitude towards my supervisors, Mr. Belkacem Ould-Bouamama and Mr. Rochdi Merzouki for providing me with the opportunity to work on this interesting topic. Without whose support, availability, encouragement and fruitful discussions, I would not have achieved the results I obtained in my Ph.D. thesis. It was through his persistence, understanding and kindness that I always worked with enthusiasm. My gratitude also goes towards Mr. Taha Boukhobza and Mr. Eric Bideaux for their availability and interest on reviewing my work. I express to them my deepest appreciation. I also thank Ms. Geneviève Dauphin-Tanguy, Mr. François Charpillet and Mr. Mohamed Djemai for agreeing to be part of the jury of this thesis. Thank you to doctoral and post-doctoral researcher at the Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS). With them, I was able to share the joys and difficulties faced during a Ph.D. thesis. More specifically, I would like to extend very special thanks my office colleagues Samir Benmoussa and Youcef Touati for the helpful discussions and their useful suggestions during these three years.Thank you to all persons who were not mentioned above, but were involved with our work, directly and indirectly.Finally, thanks to my family for the support they provided me through my entire life. I must acknowledge Alice, without whose encouragement and assistance, I would not have worked serenely.

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On The Role Of Essential Orders On Feedback Decoupling And Model Inversion: Bond Graph Approach

Cited by 4 publications

References 26 publications

Bond graph-based filtered inversion of multivariable physical systems

Bond graph-based filtered inversion of multivariable physical systems

Definition of Essential Order on Descriptor Systems and its Bond Graph Determination

Bond Graph Model Based on Structural Diagnosability and Recoverability Analysis: Application to Intelligent Autonomous Vehicles

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