Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems

• 成果类型: Article
• 署名作者: Kao, Yonggui; Ma, Suriguga; Xia, Hongwei; Wang, Changhong; Liu, Yunlong
• 署名单位: Harbin Institute of Technology; Inner Mongolia Normal University; Qufu Normal University; Harbin Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3149865
• 发表日期: 2023
• 页码: 1154-1160
• 关键词: Stability criteria; Synchronization; asymptotic stability; Sliding mode control; Power system stability; control theory; Numerical stability; Impulsive effects; integral sliding mode control (SMC); reaction-diffusion terms (RDTs); robust exponential stability (ES)

摘要

This article discusses the integral sliding mode control problem for a kind of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface containing impulsive effects and reaction-diffusion terms is constructed, such that the impulsive effects for IURDSs can be removed. A novel sliding mode controller with impulsive effects is designed to ensure the reachability of the specified sliding surface in a finite time interval. By means of linear matrix inequalities (LMIs), the robust exponential stability of this kind of IURDSs are derived. Finally, a numerical example is provided to verify the availability of our findings.