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An Algebraic Formula for Performance Bounds of a Weighted [Formula Omitted] Optimal Control Problem

This article provides performance bounds for a particular [Formula Omitted] model-matching problem. We consider scalar linear time-invariant plants in a one-degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's theorem is applied to this problem,...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2021-01, Vol.66 (2), p.781
Main Authors: Peters, Andres A, Vargas, Francisco J, Chen, Jie
Format: Article
Language:English
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Summary:This article provides performance bounds for a particular [Formula Omitted] model-matching problem. We consider scalar linear time-invariant plants in a one-degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's theorem is applied to this problem, leading to a simple algebraic equation for the optimal performance. This formula sheds light upon the effect that nonminimum-phase zeros have on the optimal performance and yields easily computable bounds and approximations.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.2982135