Krasovskii Passivity for Sampled-Data Stabilization and Output Consensus

Yu Kawano, Alessio Moreschini, Michele Cucuzzella

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In this paper, we establish the novel concept of Krasovskii passivity for sampled discrete-time nonlinear systems, utilizing Krasovskii passivity for control design under sampling. We consider two separate control objectives: stabilization and output consensus, where the latter is studied under the presence of an unknown constant disturbance. Drawing inspiration from established methodologies in the continuous-time domain, we design sampled-data control schemes for each control objective, leveraging Krasovskii passivity. The proposed sampled discrete-time controllers are respectively validated through simulations on a DC microgrid of boost converters and a DC microgrid of buck converters whose continuous-time models and their implicit midpoint discretizations are Krasovskii passive in each time scale.

Originele taal-2English
TijdschriftIEEE Transactions on Automatic Control
DOI's
StatusE-pub ahead of print - 22-aug.-2024

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