Modelling and analysis of hybrid physical systems using bond graph and dynamic causality

J. Madrigal Salas, R. F. Ngwompo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Analysis of systems are often done from a Linear Time Invariant (LTI) approach. This approach does not represent the continuous and discontinuous behaviour of a hybrid or switched system on a single model. As a result, hybrid systems are often represented as a sequence of LTI equations depending on the configuration of switches or modes of operation. Bond graph are an established modelling method, in which there are several methods to represent the commuting elements. This paper aims to set a standard notation for hybrid bond graph in order to derive a unique representation that encompasses all modes of operations and from which multi-modes analysis can be undertaken. Switching elements are modelled using controlled junctions and this leads to the use of dynamic causality for mathematical model generation and model analysis. From the junction structure of the dynamic causal bond graph representing the hybrid system, a mixed-Boolean implicit unique model is derived for the system enabling the determination of valid operational modes.

Original languageEnglish
Title of host publication29th Annual European Simulation and Modelling Conference (ESM), 2015
EditorsM. Al-Akaidi, A. Ayesh
PublisherEUROSIS
Pages16-21
Number of pages6
ISBN (Print)9789077381908
Publication statusPublished - 2015
Event29th Annual European Simulation and Modelling Conference 2015, ESM 2015 - Leicester, UK United Kingdom
Duration: 26 Oct 201528 Oct 2015

Conference

Conference29th Annual European Simulation and Modelling Conference 2015, ESM 2015
CountryUK United Kingdom
CityLeicester
Period26/10/1528/10/15

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Keywords

  • Bond graph
  • Dynamic causality
  • Hybrid systems
  • Implicit model
  • Switched systems

Cite this

Madrigal Salas, J., & Ngwompo, R. F. (2015). Modelling and analysis of hybrid physical systems using bond graph and dynamic causality. In M. Al-Akaidi, & A. Ayesh (Eds.), 29th Annual European Simulation and Modelling Conference (ESM), 2015 (pp. 16-21). EUROSIS.