Time-Delay Compensators for Linear Systems with Delayed Output Measurements
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911605775663104 |
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| author | Trinh, H. Nam, P. T. Nguyen, T. N. |
| author_facet | Trinh, H. Nam, P. T. Nguyen, T. N. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_17434 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Time-Delay Compensators for Linear Systems with Delayed Output Measurements Trinh, H. Nam, P. T. Nguyen, T. N. Systems and Control 34K20, 93B55, 93C23, 93C43, 93D15 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. |
| title | Time-Delay Compensators for Linear Systems with Delayed Output Measurements |
| topic | Systems and Control 34K20, 93B55, 93C23, 93C43, 93D15 |
| url | https://arxiv.org/abs/2604.17434 |