Time Domain Sensitivity of the Tracking Error

التفاصيل البيبلوغرافية
العنوان: Time Domain Sensitivity of the Tracking Error
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
الوصف
DOI:10.1109/TAC.2023.3331681