Work

Time-Domain Sensitivity of the Tracking Error

Year: 2023

Type: article

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$\mathbf {S(s) + T(s) = I}$. 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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2023.3331681

Authors: Sean O'Neil, Sophie Schirmer, Frank C. Langbein, Carrie A. Weidner, Edmond A. Jonckheere

Institutions: University of Southern California, Swansea University, Cardiff University, University of Bristol

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: IRES TRACK II: US-UK International Student Research in Robust Control of Quantum Networks