Designing a Completely Distributed Interval Observer for the LTI System

• 成果类型: Article
• 署名作者: Wang, Xiaoling; Xu, Weichen; Su, Housheng; Gao, Zhiwei; Chen, Guanrong
• 署名单位: Nanjing University of Posts & Telecommunications; Nanjing University of Posts & Telecommunications; Huazhong University of Science & Technology; Northumbria University; City University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3471332
• 发表日期: 2025
• 页码: 1793-1808
• 关键词: Observers; Measurement uncertainty; uncertainty; Noise measurement; Linear systems; observability; noise; intellectual property; Time measurement; Performance evaluation; Bounded information; distributed interval observer; internally positive representation; linear time-invariant (LTI) system; order reduction

摘要

In this article, the distributed interval observer design problem for a continuous-time linear time-invariant system with unknown external disturbance and measurement noise is revisited. By performing detectability decomposition for partial outputs of each sensor from the system matrix, a classical interval observer and an internally positive representation-based interval observer are designed for the detectable and the undetectable subsystems, respectively, which reduces the order of the resulting distributed interval observer. Furthermore, with a dynamic coupling gain on the communications among the interval observers, a completely distributed interval observer is designed without any prerequisite, except for the joint detectability of the partial measurements and the strong connectivity of the properly defined directed sensor network. Finally, after detailed analyses, the theoretical results were validated through numerical simulations.