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 (rho) over bar for the relative degree rho. The order of the regulator is minimal and equal to (rho) over bar +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. (C) 2021 Elsevier Ltd. All rights reserved.
Marino, R., Tomei, P. (2021). Adaptive output regulation for minimum-phase systems with unknown relative degree. AUTOMATICA, 130, 109670 [10.1016/j.automatica.2021.109670].
Adaptive output regulation for minimum-phase systems with unknown relative degree
Marino, R;Tomei, P
2021-08-01
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 (rho) over bar for the relative degree rho. The order of the regulator is minimal and equal to (rho) over bar +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. (C) 2021 Elsevier Ltd. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
