Conditions for solvability of the output regulator problem for SISO distributed parameter systems

Author

Byrnes, Christopher I. ; Lauko, Istvan G. ; Gilliam, David S. ; Shubov, Victor I.

Author_Institution

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

Volume

3

fYear

1998

fDate

1998

Firstpage

2392

Abstract

For certain single input single output (SISO) distributed parameter systems we provide a useful solvability criteria for the regulator problem in terms of the eigenvalues of the exo-system and the transmission zeros. Namely, we show that the regulator problem is solvable provided that the eigenvalues of the exo-system do not coincide with the systems´ transmission zeros. One very appealing consequence of the proof of this result is that it also provides an easily implementable procedure for solving the regulator problem

Keywords

Hilbert spaces; distributed parameter systems; eigenvalues and eigenfunctions; poles and zeros; SISO distributed parameter systems; exo-system; output regulator problem; single input single output systems; solvability criteria; transmission zeros; Control systems; Distributed parameter systems; Eigenvalues and eigenfunctions; Extraterrestrial measurements; Filtering theory; Hilbert space; Hydrogen; Regulators; State feedback; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1998. Proceedings of the 37th IEEE Conference on

Conference_Location

Tampa, FL

ISSN

0191-2216

Print_ISBN

0-7803-4394-8

Type

conf

DOI

10.1109/CDC.1998.757747

Filename

757747