Output Feedback Regulation for 1-D Anti-Stable Wave Equation with External System Disturbance

• 作者: Zhiyuan Li
• 来源期刊: 工程(英文)(1947-3931)
• 学科: 数学
• 关键词: Anti-Stable Wave Equation Distributed Disturbance Exosystem Output Feedback Regulation
• 年，卷（期）: gc-eng_2020,（9）
• 页码范围: 652-665
• 页数: 14页
• 分类号: O17

摘要

This paper has studied the output feedback regulation problem for 1-D anti-stable wave equation with distributed disturbance and a given reference signal generated by a finite-dimensional exosystem. We first design an observer for both exosystem and auxiliary PDE system to recover the state. Then we show the well-posedness of the regulator equations and propose an observer-based feedback control law to regulate the tracking error to zero exponentially and keep all the states bounded.