A gradient-based algorithm for the on-line continuous estimation of the commensurate order in linear fractional order processes is presented. A key aspect of the proposed methodology is the use of appropriate variable-order fractional filters, and linear Laplace operators of logarithmic type, within the estimation mechanism. A Lyapunov based analysis will be provided for deriving appropriate sufficient conditions guaranteeing the parameter convergence property. Realization issues associated to the involved variable order operators are discussed, and a fully developed analysis and design example, accompanied by relevant simulation results, is provided to support the presented theory.

Adaptive identification of the commensurate order in fractional processes by means of variable-order operators

PISANO, ALESSANDRO;USAI, ELIO;
2012

Abstract

A gradient-based algorithm for the on-line continuous estimation of the commensurate order in linear fractional order processes is presented. A key aspect of the proposed methodology is the use of appropriate variable-order fractional filters, and linear Laplace operators of logarithmic type, within the estimation mechanism. A Lyapunov based analysis will be provided for deriving appropriate sufficient conditions guaranteeing the parameter convergence property. Realization issues associated to the involved variable order operators are discussed, and a fully developed analysis and design example, accompanied by relevant simulation results, is provided to support the presented theory.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/108804
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