Output Feedback Exponential Stabilization for a One-Dimensional Wave Equation With Control Matched Nonlinear Disturbance

• 成果类型: Article
• 署名作者: Mei, Zhan-Dong; Zhou, Hua-Cheng
• 署名单位: Xi'an Jiaotong University; Central South University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3002497
• 发表日期: 2021
• 页码: 2273-2280
• 关键词: Observers; uncertainty; propagation; Output feedback; State feedback; stability analysis; Active disturbance rejection control (ADRC); output feedback stabilization; Riesz basis; wave equation

摘要

In this article, we study the output feedback exponential stabilization of a one-dimensional wave equation with control matched nonlinear disturbance. The well posedness of the open-loop system, which is essentially important for the designs of observer and controller, is verified. By designing an infinite-dimensional unknown input state observer in place of the conventional extended state observer, we estimate the total disturbance in real time. Moreover, we prove the convergence of the disturbance estimator. Based on the disturbance estimator, we design a state observer by compensating the total disturbance, and an estimated state feedback controller to exponentially stabilize the original system by means of the Riesz basis approach. Some numerical simulations are presented.