Switched networks and complementarity

M.K. Camlibel, W.P.M.H. Heemels, A.J. Schaft, van der, J.M. Schumacher

Research output: Contribution to journalArticleAcademicpeer-review

59 Citations (Scopus)

Abstract

A modeling framework is proposed for circuits that are subject both to externally induced switches (time events) and to state events. The framework applies to switched networks with linear and piecewise-linear elements, including diodes. We show that the linear complementarity formulation, which already has proved effective for piecewise-linear networks, can be extended in a natural way to also cover switching circuits. To achieve this, we use a generalization of the linear complementarity problem known as the cone-complementarity problem.We show that the proposed framework is sound in the sense that existence and uniqueness of solutions is guaranteed under a passivity assumption. We prove that only first-order impulses occur and characterize all situations that give rise to a state jump; moreover, we provide rules that determine the jump. Finally, we show that within our framework, energy cannot increase as a result of a jump, and we derive a stability result from this.
Original languageEnglish
Pages (from-to)1036-1046
Number of pages11
JournalIEEE Transactions on Circuits and Systems
Volume50
Issue number8
DOIs
Publication statusPublished - 2003

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Time switches
Linear networks
Switching circuits
Switching networks
Cones
Diodes
Acoustic waves
Networks (circuits)

Cite this

Camlibel, M.K. ; Heemels, W.P.M.H. ; Schaft, van der, A.J. ; Schumacher, J.M. / Switched networks and complementarity. In: IEEE Transactions on Circuits and Systems. 2003 ; Vol. 50, No. 8. pp. 1036-1046.
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Camlibel, MK, Heemels, WPMH, Schaft, van der, AJ & Schumacher, JM 2003, 'Switched networks and complementarity', IEEE Transactions on Circuits and Systems, vol. 50, no. 8, pp. 1036-1046. https://doi.org/10.1109/TCSI.2003.815195

Switched networks and complementarity. / Camlibel, M.K.; Heemels, W.P.M.H.; Schaft, van der, A.J.; Schumacher, J.M.

In: IEEE Transactions on Circuits and Systems, Vol. 50, No. 8, 2003, p. 1036-1046.

Research output: Contribution to journalArticleAcademicpeer-review

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