A Robust Distributed Interval Observer for LTI Systems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Journal / PublicationIEEE Transactions on Automatic Control
Publication statusOnline published - 14 Feb 2022


In this paper, the state estimation problem of a continuous-time liner time-invariant system is investigated for the situation with unknown external input 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.

Research Area(s)

  • Bounding information, distributed interval observer, external disturbance, Intellectual property, internally positive representation, Linear systems, LTI system, Noise measurement, Observers, Pollution measurement, Sensors, Uncertainty