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Authors
Castaños, Fernando; Jayawardhana, Bayu; Ortega, Romeo; Garcia-Canseco, Eloisa

Identifier
10.3182/20080706-5-KR-1001.01047

Index Terms
Stability of NL systems; Regulation; Asymptotic stabilization

Abstract
In this note we identify graph-theoretic conditions which allow to write an RLC circuit as port-Hamiltonian with constant input matrices. We show that under additional monotonicity conditions of the network’s components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity. The property of relative passivity is then used to build simple, yet robust and globally stable, Proportional plus Integral controllers.

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