A Minimum Operator-Based Discrete-Time Sliding Mode Control

• 成果类型: Article
• 署名作者: Prasun, Parijat; Kamal, Shyam; Pandey, Sunidhi; Bartoszewicz, Andrzej; Ghosh, Sandip
• 署名单位: Indian Institute of Technology System (IIT System); Indian Institute of Technology BHU Varanasi (IIT BHU Varanasi); Lodz University of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3397911
• 发表日期: 2024
• 页码: 7871-7876
• 关键词: Switches; vectors; Sliding mode control; Closed loop systems; discrete-time systems; dynamical systems; Transforms; Discrete sliding mode control (SMC); minimum operator; reaching law approach; twisting algorithm

摘要

In this article, a minimum operator-based law for discrete-time sliding mode control is proposed, which stands between the Gao's reaching law and Utkin's reaching law, alleviating the limitations of both types, i.e., primarily chattering in the former and overly large control action in the latter case. The minimum operator-based discrete-time sliding mode control is designed for first-order and second-order perturbed systems. Further, a minimum operator-based twisting-like algorithm is developed, which ensures the band free convergence of the system states in finite time. Simulation results show the efficacy of the proposed methodology.