@article{Carnevale:2016:10.1002/acs.2679,
author = {Carnevale, D and Galeani, S and Sassano, M and Astolfi, A},
doi = {10.1002/acs.2679},
journal = {International Journal of Adaptive Control and Signal Processing},
pages = {1649--1673},
title = {Robust hybrid estimation and rejection of multi-frequency signals},
url = {http://dx.doi.org/10.1002/acs.2679},
volume = {30},
year = {2016}
}

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TY  - JOUR
AB  - We consider the problem of output regulation for LTI systems in the presence of unknown exosystems. The knowledge about the multi-frequency signals exosystem consists in the maximum number of frequencies and their maximal value. The control scheme relies on two main components: an estimation algorithm, to reconstruct the signal generated by the exosystem, and a controller, to enforce the output regulation property to the closed-loop system. To tackle the first task, we propose a hybrid observer for the estimation of the (possibly piece-wise continuous) number and values of the frequencies contained in the exogenous signal. The hybrid observer is particularly appealing for numerical implementations, and it is combined with a self-tuning algorithm of the free parameters (gains), thus improving its performance even in case of noisy measurements. Semi-global exponential convergence of the estimation error is provided. As far as the second task is concerned, a robust hybrid regulator is designed for practical rejection of the multi-frequency disturbance signal acting on the plant. The result is achieved by exploiting the frequencies estimated by the hybrid observer. The effectiveness of the proposed control scheme is shown by means of numerical simulations.
AU  - Carnevale,D
AU  - Galeani,S
AU  - Sassano,M
AU  - Astolfi,A
DO  - 10.1002/acs.2679
EP  - 1673
PY  - 2016///
SN  - 1099-1115
SP  - 1649
TI  - Robust hybrid estimation and rejection of multi-frequency signals
T2  - International Journal of Adaptive Control and Signal Processing
UR  - http://dx.doi.org/10.1002/acs.2679
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000389409100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/44510
VL  - 30
ER  - 

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