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• W2118273760 abstract "This paper presents new results on adaptive nonlinear control using wavelet basis functions. First, it considers how to deal effectively with a potentially number of unknown parameters. This is done by constructing formally an ideal infinite controller, able to manage infinitely many unknown parameters in a convergent fashion, and only then designing a way to approximate its behavior with a finite controller. Besides being theoretically satisfying, the existence of such a consistent underlying controller is easy to guarantee in practice and considerably improves convergence properties in the high frequency range of the unknown function. The paper also shows the advantages of specific multiresolution analysis wavelets over the Mexican hat type wavelet frames now commonly used in control and learning applications. Finally, it discusses several possible constructions in the multidimensional case and their properties." @default.
• W2118273760 created "2016-06-24" @default.
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• W2118273760 date "2002-11-23" @default.
• W2118273760 modified "2023-09-26" @default.
• W2118273760 title "Adaptive control with multiresolution bases" @default.
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• W2118273760 doi "https://doi.org/10.1109/cdc.1997.652468" @default.
• W2118273760 hasPublicationYear "2002" @default.
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