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.
fields
eess.SY 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Proposes a class of delayed functional observers for output-delayed linear systems to enable reconstruction of delayed control laws.
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Design of delayed functional observers for estimating generalized delayed control laws to stabilize time-delay systems with mismatched input and output delays.
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