Robust Nonsingular Predefined-Time Terminal Sliding Mode Control for Perturbed Chains of Integrators

• 成果类型: Article
• 署名作者: Deng, Yang; Moulay, Emmanuel; Lechappe, Vincent; Chen, Zhang; Liang, Bin; Plestan, Franck
• 署名单位: Tsinghua University; Tsinghua University; Centre National de la Recherche Scientifique (CNRS); Universite de Poitiers; Universite Claude Bernard Lyon 1; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Engineering & Systems Sciences (INSIS); Ecole Centrale de Lyon; Institut National des Sciences Appliquees de Lyon - INSA Lyon; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Nantes Universite; Ecole Centrale de Nantes
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3426554
• 发表日期: 2024
• 页码: 8946-8953
• 关键词: Switches; Sliding mode control; Power system stability; Stability criteria; Tuning; simulation; Perturbation methods; Chain of integrators; delayed feedback; predefined-time stability; terminal sliding mode control (TSMC)

摘要

This article provides a nonsingular predefined-time terminal sliding mode control scheme for perturbed chains of integrators. Based on the linear delayed feedback technique, a class of nonsingular smooth prescribed-time sliding surfaces with artificial time-delays is constructed, and the control scheme can achieve predefined-time control for perturbed chains of integrators with matched and mismatched disturbances. Especially, for double integrators, an initial-condition-based sufficient condition is provided to preserve the prescribed-time stability. Finally, several simulation results illustrate the performance of the proposed control scheme.