Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 698548, 9 pages
doi:10.1155/2010/698548
Research Article

Output Regulation Problem for Differentiable Families of Linear Systems

Albert Compta, Josep Ferrer, and Marta Peña

Departament de Matemàtica Aplicada I, Escola Tècnica Superior d'Enginyeria Industrial de Barcelona, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain

Received 9 April 2010; Revised 12 July 2010; Accepted 12 July 2010

Academic Editor: Oded Gottlieb

Copyright © 2010 Albert Compta et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Given a family of linear systems depending on a parameter varying in a differentiable manifold, we obtain sufficient conditions for the existence of a (global or local) differentiable family of controllers solving the output regulation problem for the given family. Moreover, we construct it when these conditions hold.