Adaptive output regulation for minimum-phase systems with unknown relative degree. (August 2021)

• Record Type: Journal Article
• Authors: Marino, Riccardo; Tomei, Patrizio
• Is Part Of: Automatica. Volume 130(2021)
• Publication Date: 2021-08
• Subjects: Linear systems -- High-gain control -- Minimum-phase systems -- Unknown relative degree -- Output regulation -- Adaptive gain; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109670
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: 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 ρ ̄ for the relative degree ρ . The order of the regulator is minimal and equal to ρ ̄ + 2 p, 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.