Francis-Wonham nonlinear viewpoint in output regulation of minimum phase systems. Issue 16 (2019)

• Record Type: Journal Article
• Authors: Astolfi, Daniele; Praly, Laurent; Marconi, Lorenzo
• Is Part Of: IFAC-PapersOnLine. Volume 52:Issue 16(2019)
• Page Start: 532
• Page End: 537
• Publication Date: 2019
• Subjects: Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2019.12.016
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The paper deals with the problem of output regulation for nonlinear systems under the assumption of periodic exosystem. We build on the results presented in Astolfi et al. (2015) showing that asymptotic regulation can be achieved with an infinite dimensional regulator embedding a linear internal model copying all the harmonics that are multiple of the one associated to the exosystem. The regulator follows a post-processing structure in which the (infinite dimensional) internal model is driven by the error and a static stabiliser is considered for the cascade extended system. The post-processing structure traces the one proposed by Francis and Wonham into a linear framework. The presented analysis is limited to nonlinear systems that have unitary relative degree and that are minimum-phase.