Switched networks and complementarity

By M. Kanat Camlibel, W. M. Heemels, A. J. van der Schaft, Jm Hans Schumacher. 2003

84 citations recorded by the source corpus.

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.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/0c8fae62da5bcaade2294a0390aa9c91afc223fc

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In Control and Systems Engineering

  1. Bernard Brogliato
  2. Daniel Goeleven

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