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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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Published in: | IEEE transactions on automatic control 2021-01, Vol.66 (2), p.781 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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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. |
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ISSN: | 0018-9286 1558-2523 |
DOI: | 10.1109/TAC.2020.2982135 |