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Moving-horizon estimation for linear systems with random packet losses: suboptimal arrival cost improves robustness

Year: 2025

Type: conference-paper

Abstract: This paper addresses the problem of estimating the state of a linear system whose output measurements are transmitted over a communication channel subject to random packet losses. For such systems, it is well established that mean-square stability of an optimal linear estimator requires the packet arrival probability to exceed a critical threshold. Although this fundamental limit cannot be circumvented, we show, both theoretically and through examples, that a movinghorizon estimator (MHE) with a carefully designed suboptimal arrival cost can achieve mean stability for arbitrarily low arrival probability. The result decouples mean stability from the more stringent mean-square condition, offering a robust estimation strategy for channels with low data rates.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc57313.2025.11312161

Authors: Xinda Li, Lanlan Su, Paul Trodden

Institutions: University of Sheffield, University of Manchester

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7123354433

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