Approximate Regulation for Nonlinear Systems in Presence of Periodic Disturbances
12 15 Category : Robustness | All
Authors: Daniele Astolfi, Laurent Praly and Lorenzo Marconi, 2015 IEEE 54th Annual Conference on Decision and Control (CDC 2015), pp. 7665-7670, December 15-18, 2015, Osaka
In this work we present a new approach to the problem of output regulation for nonlinear systems in presence of periodic disturbances, possibly with an infinite number of harmonics. We show that, by adding a linear internal model, approximate regulation is achieved if the disturbance is small enough. Nominally all the harmonic included in the internal model are absent in the periodic steady state regulation error. Furthermore we show that the regulation error can be made arbitrarily small (in the L2 sense) by enlarging the dimension of the internal model. The novel approach relies on forwarding technique. An example is provided to show the efficacy of the result.
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BibTeX:
@Proceedings{2016-01-04,
author = {Daniele Astolfi, Laurent Praly and Lorenzo Marconi},
editor = {},
title = {Approximate Regulation for Nonlinear Systems in Presence of Periodic Disturbances},
booktitle = {2015 IEEE 54th Annual Conference on Decision and Control (CDC 2015)},
volume = {},
publisher = {},
address = {Osaka},
pages = {7665-7670},
year = {2015},
abstract = {In this work we present a new approach to the problem of output regulation for nonlinear systems in presence of periodic disturbances, possibly with an infinite number of harmonics. We show that, by adding a linear internal model, approximate regulation is achieved if the disturbance is small enough. Nominally all the harmonic included in the internal model are absent in the periodic steady state regulation error. Furthermore we show that the regulation error can be made arbitrarily small (in the L2 sense) by enlarging the dimension of the internal model. The novel approach relies on forwarding technique. An example is provided to show the efficacy of the result.},
keywords = {Output Regulation, Internal Model, Approximate Regulation, Nonlinear Systems}}
In this work we present a new approach to the problem of output regulation for nonlinear systems in presence of periodic disturbances, possibly with an infinite number of harmonics. We show that, by adding a linear internal model, approximate regulation is achieved if the disturbance is small enough. Nominally all the harmonic included in the internal model are absent in the periodic steady state regulation error. Furthermore we show that the regulation error can be made arbitrarily small (in the L2 sense) by enlarging the dimension of the internal model. The novel approach relies on forwarding technique. An example is provided to show the efficacy of the result.
Download PDF
BibTeX:
@Proceedings{2016-01-04,
author = {Daniele Astolfi, Laurent Praly and Lorenzo Marconi},
editor = {},
title = {Approximate Regulation for Nonlinear Systems in Presence of Periodic Disturbances},
booktitle = {2015 IEEE 54th Annual Conference on Decision and Control (CDC 2015)},
volume = {},
publisher = {},
address = {Osaka},
pages = {7665-7670},
year = {2015},
abstract = {In this work we present a new approach to the problem of output regulation for nonlinear systems in presence of periodic disturbances, possibly with an infinite number of harmonics. We show that, by adding a linear internal model, approximate regulation is achieved if the disturbance is small enough. Nominally all the harmonic included in the internal model are absent in the periodic steady state regulation error. Furthermore we show that the regulation error can be made arbitrarily small (in the L2 sense) by enlarging the dimension of the internal model. The novel approach relies on forwarding technique. An example is provided to show the efficacy of the result.},
keywords = {Output Regulation, Internal Model, Approximate Regulation, Nonlinear Systems}}