Title :
Adaptive parameter estimation for a class of distributed parameter systems with persistence of excitation
Author :
Demetriou, M.A. ; Rosen, I.G. ; Ioannou, Petros A.
Author_Institution :
Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The authors consider the adaptive (online) estimation of parameters for a class of distributed parameter evolution systems. A combined state and parameter estimator is constructed as an initial value problem for an infinite dimensional evolution equation in a weak or variational form. State convergence is established via a Lyapunov-like estimate. The finite-dimensional notion of persistence of excitation is extended to the infinite-dimensional case and used to establish parameter convergence. Results of numerical studies on a one-dimensional parabolic system are presented to demonstrate the feasibility of the approach
Keywords :
adaptive control; control system synthesis; distributed parameter systems; initial value problems; parameter estimation; Lyapunov-like estimate; adaptive parameter estimation; distributed parameter systems; infinite dimensional evolution equation; initial value problem; one-dimensional parabolic system; parameter convergence; persistence of excitation; state convergence; state estimator; Artificial intelligence; Control systems; Convergence; Distributed parameter systems; Equations; Hilbert space; Mathematics; Parameter estimation; Partial differential equations; State estimation;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371129
