Robustness Bounds For Sampled-Data Linear Time-Delay Systems

In this paper robustness bounds for sampled-data linear time-delay systems are developed. The uncertainty is assumed to be on both the A and B matrices of the continuous-time system. The bounds developed are in terms of the maximum singular values of uncertainties in the continuous-time domain. Case...

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Bibliographic Details
Main Author: AL-Sunni, Fouad (author)
Other Authors: Al-Amer, Samir (author), Boukas, EK (author), unknown (author)
Format: article
Published: 2020
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Online Access:https://eprints.kfupm.edu.sa/id/eprint/2425/1/robustness_bounds_for_sampled_data_linea_al_sunni_isi_000187731300005.doc
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Summary:In this paper robustness bounds for sampled-data linear time-delay systems are developed. The uncertainty is assumed to be on both the A and B matrices of the continuous-time system. The bounds developed are in terms of the maximum singular values of uncertainties in the continuous-time domain. Cases of small (less than or equal to the sampling time) and long time delays are considered. For each of the cases, the bounds are developed for the general uncertain continuous time-delay system as well as the system with uncertainty in A or B only. An example illustrating the findings of this paper is presented.