Title :
On the persistence of excitation in the adaptive estimation of distributed parameter systems
Author :
Demetriou, M.A. ; Rosen, I.G.
Author_Institution :
Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA
fDate :
5/1/1994 12:00:00 AM
Abstract :
Persistence of excitation is a sufficient condition for parameter convergence in adaptive identification schemes for dynamical systems. For abstract parabolic and hyperbolic distributed parameter systems, this condition requires that a family of bounded linear functionals be norm bounded away from zero. The level of persistence of excitation of the plant and its implications are considered for a simple parabolic and hyperbolic system. Its effect on the qualitative and quantitative behavior of the estimators is investigated
Keywords :
convergence; distributed parameter systems; functional equations; identification; abstract parabolic systems; adaptive estimation; adaptive identification; bounded linear functionals; distributed parameter systems; dynamical systems; hyperbolic systems; norm bounded; parameter convergence; persistence of excitation; qualitative behavior; quantitative behavior; sufficient condition; Adaptive control; Adaptive estimation; Convergence; Damping; Distributed parameter systems; Nonlinear equations; Parameter estimation; Partial differential equations; Sufficient conditions; Tuning;
Journal_Title :
Automatic Control, IEEE Transactions on
