Conditions for Boundedness of Undertuned Super-Twisting Sliding-Mode Control Loops

• 成果类型: Article
• 署名作者: Refosco, Pietro A.; Edwards, Christopher; Papageorgiou, Dimitrios
• 署名单位: Technical University of Denmark; University of Exeter
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3663109
• 发表日期: 2026
• 关键词: SLOW PERIODIC MOTIONS

摘要

This study investigates the behavior of super-twisting sliding-mode control loops that are subject to a class of bounded-rate perturbations when the established conditions for finite-time stability (FTS) do not hold. The motivation for this consideration is that oftentimes imposing the FTS conditions, i.e., requiring that the integral gain of the controller be larger than the total perturbation derivative, can be very restrictive in relation to actuator limitations. It is proven that under milder conditions for the control gains, the trajectories of the undertuned closed-loop system are uniformly globally ultimately bounded in a domain containing the origin. The result holds for both periodic perturbations of arbitrarily large period and bounded-mean oscillatory perturbations.