Time-domain sensitivity of the tracking error

O'Neil, Sean, Schirmer, Sophie, Langbein, Frank C. ORCID: https://orcid.org/0000-0002-3379-0323, Weidner, Carie A. and Jonckheere, Edmond A. 2024. Time-domain sensitivity of the tracking error. IEEE Transactions on Automatic Control 69 (4) , pp. 2340-2351. 10.1109/TAC.2023.3331681

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Abstract

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 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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	0018-9286
Date of First Compliant Deposit:	10 November 2023
Date of Acceptance:	28 October 2023
Last Modified:	17 Apr 2024 16:43
URI:	https://orca.cardiff.ac.uk/id/eprint/163822

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