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Cited by 218

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Path-following for nonminimum phase systems removes performance limitations

Aguiar, A.P., Hespanha, J.P., Kokotovic, P.V.·2005·IEEE Transactions on Automatic Control

Abstract

We highlight an essential difference between path-following and reference-tracking for nonminimum phase systems. It is well known that in the reference-tracking, for nonminimum phase systems, there exists a fundamental performance limitation in terms of a lower bound on the L/sub 2/-norm of the tracking error, even when the control effort is free. We show that this is not the case for the less stringent path-following problem, where the control objective is to force the output to follow a geometric path without a timing law assigned to it. Furthermore, the same is true even when an additional desired speed assignment is imposed.

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Metadata

Authors
Aguiar, A. P., Hespanha, J. P., & Kokotovic, P. V.
Venue
IEEE Transactions on Automatic Control
Published
2005-02
Volume
50
Issue
2
Pages
234-239
ISSN
0018-9286 (ISSN-L)
OpenAlex
W2144063905
Cited by
218
References
1
FWCI
23.68
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Path-following for nonminimum phase systems removes performance limitations. https://app.cochat.ai/papers/10.1109/tac.2004.841924
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Aguiar, A. P., Hespanha, J. P., & Kokotovic, P. V. (2005). Path-following for nonminimum phase systems removes performance limitations. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.2004.841924

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.