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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
On The
Stability Of A Class Of Switched Bond Graphs |
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Authors: |
Sergio Junco, Alejandro Donaire,
Ahmed Rahmani, Hicham Hihi |
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Published in:
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ECMS
2008 Proceedings Edited
by: Loucas S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain ISBN:
978-0-9553018-6-5 Doi: 10.7148/2008 22nd
European Conference on Modelling and Simulation, Nicosia, June
3-6, 2008 |
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Citation
format: |
Junco, S., Donaire,
A., Rahmani, A., & Hihi,
H. (2008). On The Stability Of A Class Of Switched Bond Graphs. ECMS 2008
Proceedings edited by: L. S. Louca, Y. Chrysanthou, Z. Oplatkova, K. Al-Begain (pp. 478-484).
European Council for Modeling and Simulation. doi:10.7148/2008-0478 |
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DOI: |
http://dx.doi.org/10.7148/2008-0478 |
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Abstract: |
This paper deals with the stability
analysis of a class of switched bond graphs where all the storage components
remain unchanged and in integral causality under mode switching. These
properties assure the existence of a unique energy function common to all the
switching modes, and the non occurrence of state
jumps or discontinuities in the switched system trajectories. A result on
stability of equilibria in the sense of Lyapunov is presented. The derivation of this result is
done using a bond graph technique for Lyapunov
stability analysis (previously developed by one of the authors of this paper)
in association with results available in the literature related to the
satisfaction by a candidate Lyapunov function of a
sequence nonincreasing condition for the state
trajectories of a general autonomous switched system. Because of its
versatility, the Switched Power Junction formalism is chosen in this paper to
model and simulate the commutations in the bond graph domain. |
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