Disturbance Observer-Based Boundary Control for an Antistable Stochastic Heat Equation With Unknown Disturbance

• 成果类型: Article
• 署名作者: Wu, Ze-Hao; Zhou, Hua-Cheng; Deng, Feiqi; Guo, Bao-Zhu
• 署名单位: Foshan University; Central South University; South China University of Technology; Chinese Academy of Sciences; Academy of Mathematics & System Sciences, CAS; North China Electric Power University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3191390
• 发表日期: 2023
• 页码: 3604-3611
• 关键词: Disturbance observers; Heating systems; control design; Closed loop systems; Stochastic systems; control theory; Backstepping; Backstepping approach; boundary control; disturbance rejection; stabilization; Stochastic Heat Equation

摘要

In this article, a novel control strategy namely disturbance observer-based control is first applied to stabilization and disturbance rejection for an antistable stochastic heat equation with Neumann boundary actuation and unknown boundary external disturbance generated by an exogenous system. A disturbance observer-based boundary control is designed based on the backstepping approach and estimation/cancellation strategy, where the unknown disturbance is estimated in real time by a disturbance observer and rejected in the closed loop, while the in-domain multiplicative noise whose intensity is within a known finite interval is attenuated. It is shown that the resulting closed-loop system is exponentially stable in the sense of both mean square and almost surely. A numerical example is demonstrated to validate the effectiveness of the proposed control approach.