A functional observer with multiple internal delays and augmented architecture is proposed for estimating z(t)=Fx(t) in linear time-delay systems with independent delays satisfying 0<h<τ, including algebraic existence conditions and a synthesis procedure that incorporates an additional delayed measu
Time-Delay Compensators for Linear Systems with Delayed Output Measurements
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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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eess.SY 5years
2026 5representative citing papers
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