Zhao, Ruixuan; Yang, Guitao; Li, Peng; Chen, Boli; (2026) Bridging Centralized and Distributed Frameworks in Unknown Input Observer Design. In: Proceedings of the 18th World Conference on Earthquake Engineering (WCEE 2024). IEEE (In press).

Text CDC2025_Necessary_and_Sufficient_Condition_for_Unknown_Input_Observer__from_Centralized_to_Distributed.pdf - Accepted Version Access restricted to UCL open access staff until 21 January 2026. Download (626kB)

Abstract

State estimation for linear time-invariant systems with unknown inputs is a fundamental problem in various research domains. In this article, we establish geometric conditions for the design of unknown input observers (UIOs). Specifically, we derive a necessary and sufficient geometric condition for the existence of a centralized UIO. Compared to existing results, our condition is less restrictive and offers a more general design framework. Furthermore, we extend the centralized UIO design to distributed settings. In contrast to existing distributed UIO approaches, which require each local node to satisfy the unknown-input-to-output rank condition, our method accommodates cases where a subset of nodes does not meet this requirement. This relaxation significantly broadens the range of practical applications. Simulation results are provided to demonstrate the effectiveness of the proposed design.

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