Existence and Completeness of Bounded Disturbance Observers: A Set-Membership Viewpoint

作     者：Li, Yudong Cong, Yirui Dong, Jiuxiang 

作者机构：The State Key Laboratory of Synthetical Automation of Process Industries Northeastern University China The College of Information Science and Engineering Northeastern University China The Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China Northeastern University China The College of Intelligence Science and Technology National University of Defense Technology China 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2023年

核心收录：

主　　题：Digital control systems 

摘      要：This paper investigates the boundedness of the Disturbance Observer (DO) for linear discrete-time systems. In contrast to previous studies that focus on analyzing and/or designing observer gains, our analysis and synthesis approach is based on a set-membership viewpoint. From this viewpoint, a necessary and sufficient existence condition of bounded DOs is first established, which can be easily verified. Furthermore, a set-membership filter-based DO is developed, and its completeness is proved;thus, our proposed DO is bounded if and only if bounded DOs exist. We also prove that the proposed DO has the capability to achieve the worst-case optimality, which can provide a benchmark for the design of DOs. Finally, numerical simulations are performed to corroborate the effectiveness of the theoretical results. Copyright © 2023, The Authors. All rights reserved.