A Robust Distributed Interval Observer for LTI Systems

• 成果类型: Article
• 署名作者: Wang, Xiaoling; Su, Housheng; Zhang, Fan; Chen, Guanrong
• 署名单位: Nanjing University of Posts & Telecommunications; Nanjing University of Posts & Telecommunications; Huazhong University of Science & Technology; Sun Yat Sen University; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3151586
• 发表日期: 2023
• 页码: 1337-1352
• 关键词: Observers; Linear systems; Noise measurement; Pollution measurement; intellectual property; sensors; uncertainty; Bounding information; distributed interval observer; Index Terms; external disturbance; internally positive representation (IPR); linear time-invariant (LTI) system

摘要

In this article, the state estimation problem of a continuous-time linear time-invariant system is investigated for the situation with unknown external disturbance and measurement noise. A robust distributed interval observer is designed, which consists of a group of sensors communicating with others through a directed graph where each sensor can only access partial information from the output of the plant. The communication among the sensors together with the heterogeneity and undetectability of the sensors result in some stringent requirements on the robust distributed interval observer construction. To resolve these restrictions, the internally positive representation originated from a single agent system is introduced into the robust distributed interval observer. After presenting detailed design and analysis, numerical simulations are demonstrated to verify the theoretical results.