Soft-Reset Control With Max-of-Quadratics Lyapunov Certificates

• 成果类型: Article
• 署名作者: Bertollo, Riccardo; Teel, Andrew R.; Zaccarian, Luca
• 署名单位: University of Trento; University of California System; University of California Santa Barbara; Universite de Toulouse; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3221684
• 发表日期: 2023
• 页码: 5245-5257
• 关键词: Computational methods; computer-aided control design; hybrid systems; stability of hybrid systems; reset control

摘要

In this article, we further develop a novel control paradigm encoding the core behavior of a reset control system within a continuous-time feedback, described by a differential inclusion. A tuning knob allows adjusting how close the continuous-time feedback resembles the behavior of the underlying reset controller. The Lyapunov conditions that we derive naturally lead to a sum-of-squares formulation allowing for the design of max-of-quadratics Lyapunov certificates associated with polynomial multipliers. A few application examples confirm the practical effectiveness of the proposed solutions.