تقرير
Time Domain Sensitivity of the Tracking Error
العنوان: | Time Domain Sensitivity of the Tracking Error |
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المؤلفون: | O'Neil, S., Schirmer, S. G., Langbein, F. C., Weidner, C. A., Jonckheere, E. |
سنة النشر: | 2022 |
المجموعة: | Computer Science Quantum Physics |
مصطلحات موضوعية: | Quantum Physics, Electrical Engineering and Systems Science - Systems and Control |
الوصف: | A strictly time-domain formulation of the log-sensitivity of the error signal to structured plant uncertainty is presented and analyzed through simple but representative classical and quantum systems. Results demonstrate that across a wide range of physical systems, maximization of performance (minimization of the error signal) asymptotically or at a specific time comes at the cost of increased log-sensitivity, implying a time-domain constraint analogous to the frequency-domain identity $\mathbf{S(s) + T(s) = I}$. While of limited value in classical problems based on asymptotic stabilization or tracking, such a time-domain formulation is valuable in assessing the reduced robustness cost concomitant with high-fidelity quantum control schemes predicated on time-based performance measures. Comment: 12 pages, 10 figures, 1 table. in IEEE Transactions on Automatic Control. Scheduled for publication Feb 2024 |
نوع الوثيقة: | Working Paper |
DOI: | 10.1109/TAC.2023.3331681 |
URL الوصول: | http://arxiv.org/abs/2210.15783 |
رقم الأكسشن: | edsarx.2210.15783 |
قاعدة البيانات: | arXiv |
DOI: | 10.1109/TAC.2023.3331681 |
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