Euler's Discretization Effect on a Sliding-Mode Control System With Supertwisting Algorithm

• 成果类型: Article
• 署名作者: Yan, Yan; Yu, Shuanghe; Yu, Xinghuo
• 署名单位: Dalian Maritime University; Royal Melbourne Institute of Technology (RMIT)
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3010493
• 发表日期: 2021
• 页码: 2817-2824
• 关键词: trajectory; Sliding mode control; Stability criteria; Robustness; asymptotic stability; Euler' s discretization; sliding-mode control (SMC); STABILITY; supertwisting algorithm (STA)

摘要

In this article, we study the Euler's discretization effect on a sliding-mode control system with a supertwisting algorithm (STA). We start from the undisturbed STA and show that the trajectory eventually converges to an exactly bounded region around the origin. Periodic behaviors are explored. Furthermore, the discretization effect on the disturbed STA is established, and the stability analysis is given. Simulation results demonstrate the effectiveness of the proposed strategies.