Title :
Zero dynamics for relative degree one 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 :
It is well known that the solvability of the regulator problem, for finite dimensional systems, is related to the system zeros, or in other words, to the system zero dynamics. We demonstrate the existence of the zero dynamics for a class of SISO distributed parameter systems and provide a result relating the eigenvalues of the zero dynamics and the system transmission zeros
Keywords :
Hilbert spaces; distributed parameter systems; dynamics; poles and zeros; relative degree one SISO distributed parameter systems; transmission zeros; zero dynamics; Control systems; Distributed control; Distributed parameter systems; Eigenvalues and eigenfunctions; Feedback; Hilbert space; Linear systems; Regulators; Space missions; 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.1998.757733
