Adaptive output regulation for minimum-phase systems with unknown relative degree

In this paper it is shown how to design a stable regulator on the basis of the regulation error only, for a class of minimum-phase unknown linear systems sharing the same high-frequency gain sign and the same upper bound ρ̄ for the relative degree ρ. The order of the regulator is minimal and equal t...

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Bibliographic Details
Published in:Automatica (Oxford) 2021-08, Vol.130, p.109670, Article 109670
Main Authors: Marino, Riccardo, Tomei, Patrizio
Format: Article
Language:English
Subjects:
Adaptive gain
High-gain control
Linear systems
Minimum-phase systems
Output regulation
Unknown relative degree
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Summary:In this paper it is shown how to design a stable regulator on the basis of the regulation error only, for a class of minimum-phase unknown linear systems sharing the same high-frequency gain sign and the same upper bound ρ̄ for the relative degree ρ. The order of the regulator is minimal and equal to ρ̄+2p, with p being the number of known frequencies of the biased multi-sinusoidal exogenous signal. The regulator is parameterized by a scalar gain which should be chosen sufficiently high and can be updated on-line by a simple discrete-time adaptation law at every arbitrarily chosen time interval.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2021.109670