Abstract
The adaptive (on-line) estimation of parameters for a class of nonlinear distributed parameter systems is considered. A combined state and parameter estimator is constructed as an initial value problem for an infinite dimensional evolution equation. 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. A finite dimensional approximation theory is presented and a convergence result is proven. An example involving the identification of a nonlinear heat equation is discussed and results of a numerical study are presented.
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© 1994 Springer Basel AG
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Kazimir, J., Rosen, I.G. (1994). Adaptive Estimation of Nonlinear Distributed Parameter Systems. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_13
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DOI: https://doi.org/10.1007/978-3-0348-8530-0_13
Publisher Name: Birkhäuser, Basel
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