Krasovskii Passivity for Sampled-Data Stabilization and Output Consensus

• 成果类型: Article
• 署名作者: Kawano, Yu; Moreschini, Alessio; Cucuzzella, Michele
• 署名单位: Hiroshima University; Imperial College London; University of Groningen
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3447808
• 发表日期: 2025
• 页码: 1038-1053
• 关键词: Control design; nonlinear dynamical systems; STANDARDS; discrete-time systems; vectors; Microgrids; Voltage control; Krasovskii passivity; Nonlinear systems; output consensus; stabilization

摘要

In this article, 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 discretization are Krasovskii passive in each time scale.