Title :
Robust state feedback control for linear systems with time-varying evolution operators in Hilbert spaces
Author :
Poznyak, A.S. ; Rodríguez, Alejandro
Author_Institution :
Seccion de Control Autom., CINVESTAV-IPN, Mexico City, Mexico
Abstract :
The problem of robust control for a class of infinite dimensional systems under mixed uncertainties is addressed, and the Lyapunov function approach is used for proving that there is a controller that stabilizes this class of systems under the presence of internal and external perturbations and guarantees some tolerance level for the joint cost functional. A comment is added to the Riccati operator equation´s solution for this problem
Keywords :
Hilbert spaces; Lyapunov methods; Riccati equations; multidimensional systems; robust control; state feedback; time-varying systems; uncertain systems; Hilbert spaces; Lyapunov function; Riccati operator equation; external perturbations; infinite-dimensional systems; internal perturbations; joint cost functional tolerance level; linear systems; mixed uncertainties; robust state feedback control; time-varying evolution operators; Control systems; Cost function; Linear feedback control systems; Linear systems; Lyapunov method; Riccati equations; Robust control; State feedback; Time varying systems; Uncertainty;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478510
