Adaptive parameter estimation for a class of distributed parameter systems with persistence of excitation

M.A Demetriou,I.G Rosen,P.A Ioannou

doi:10.1109/cdc.1992.371129

Adaptive parameter estimation for a class of distributed parameter systems with persistence of excitation

M.A Demetriou, I.G Rosen + Show 1 more

https://doi.org/10.1109/cdc.1992.371129

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Publication Date: Dec 16, 1992

Citations: 3

Affiliation: University of Southern California

#One-dimensional Parabolic System #Adaptive Estimation Of Parameters + Show 8 more

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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. >

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