Title :
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
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;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757747
