Differentiation and Passivity for Control of Brayton–Moser Systems

This article deals with a class of resistive–inductive–capacitive (RLC) circuits and switched RLC (s–RLC) modeled in the Brayton–Moser framework. For this systems, new passivity properties using Krasovskii-type Lyapunov function as storage are presented, where supply rate is system states, inputs, their first time derivatives. Moreover, after showing integrability property port-variables, two simple control methodologies called output shaping input proposed for regulating voltage s–RLC circuits. Global asymptotic stability theoretically proved both methodologies. robustness respect to load uncertainty ensured by methodology. The applicability illustrated designing controllers dc–dc converters dc networks.