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arXiv · 2604.17434

Time-Delay Compensators for Linear Systems with Delayed Output Measurements

H. Trinh·P. T. Nam·T. N. Nguyen
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Abstract

This paper provides a comprehensive framework for designing functional observers for linear systems subject to delayed output measurements. Moving beyond traditional methodologies, the proposed observer generates an estimate $\hat{z}(t)$ that predicts the current state functional $z(t)=Fx(t)$ using delayed data. By neutralizing sensing latency, the observer serves as a potent time-delay compensator, effectively expanding the practical utility of functional observer theory. The proposed observer architecture offers greater robustness and versatility than traditional Luenberger-type observers by leveraging multiple delayed components to preserve accuracy despite latency. A key contribution of this work is a novel method for extending the maximum allowable measurement delay while maintaining the asymptotic stability of the estimation-error system. Existence conditions are established together with constructive synthesis procedures. Extensive numerical examples are given to illustrate the proposed theory.

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H. Trinh, P. T. Nam, T. N. Nguyen. 2026-04-19. Time-Delay Compensators for Linear Systems with Delayed Output Measurements. https://arxiv.org/abs/2604.17434

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