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Journal Articles Systems and Control Letters Year : 2022

Harmonic Internal Models for Structurally Robust Periodic Output Regulation

Abstract

This note deals with the problem of output regulation for nonlinear systems in presence of periodic exogenous signals. We investigate the asymptotic properties of a controller given by an internal model designed by adding harmonics on the regulation error, and a static state feedback stabilizing the augmented system of the plant and of the internal model. The solution mimics internal model-based structures adopted for linear systems by showing the asymptotic properties that are guaranteed in the nonlinear case in presence of "generic" plant variations. Forwarding technique is adopted in the design of the stabilizer. We shed also light on the linear case by presenting a new easy-to-check condition under which the regulator equations admit a robust solution.
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Dates and versions

hal-03535831 , version 1 (19-01-2022)

Identifiers

  • HAL Id : hal-03535831 , version 1

Cite

Daniele Astolfi, Laurent Praly, Lorenzo Marconi. Harmonic Internal Models for Structurally Robust Periodic Output Regulation. Systems and Control Letters, inPress. ⟨hal-03535831⟩
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