Examples of output regulation for distributed parameter systems with infinite dimensional exosystem

Author

Byrnes, C.I. ; Gulliam, D.S. ; Hood, J.B. ; Shubov, V.I.

Author_Institution

Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA

Volume

1

fYear

2001

fDate

2001

Firstpage

547

Abstract

In this short paper we give an example to demonstrate that the geometric theory of output regulation can be adapted to solve a problem of output regulation for a plant consisting of a boundary controlled distributed parameter system with unbounded input and output maps and a signal to be tracked, generated by an infinite dimensional exosystem. The exosystem is neutrally stable but with an infinite (unbounded) set of eigenmodes distributed along the imaginary axis. The usual methods of analysis of the output regulation problem do not apply

Keywords

distributed parameter systems; eigenvalues and eigenfunctions; multidimensional systems; stability; boundary controlled distributed parameter system; eigenmodes; geometric theory; infinite dimensional exosystem; neutral stability; output regulation; Control systems; Distributed control; Distributed parameter systems; Ear; Equations; Signal analysis; Signal generators; Space heating; State-space methods; Statistical distributions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980159

Filename

980159