Chapitre D'ouvrage Année : 2019

Identification of fractional Hammerstein system with delay

Résumé

This chapter is devoted to the identification of fractional nonlinear time-delay systems, based on the Hammerstein block-structure. The fractional polynomial nonlinear state space (FPNLSS) equations are derived to describe the nonlinear model. An output error identification approach is developed based on the Levenberg-Marquardt algorithm. This last requires the parametric sensitivity functions calculation which are developed as a multivariable FPNLSS model and the computational effort is reduced. Numerical simulations test the method efficiency, and its statistical performance is analyzed using Monte Carlo simulation.

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Dates et versions

hal-02343056 , version 1 (01-11-2019)

Identifiants

Citer

Karima Hammar, Tounsia Djamah, Ali Zemouche, Maamar Bettayeb. Identification of fractional Hammerstein system with delay. Qingbin Gao and Hamid Reza Karimi. Stability, Control and Application of Time-delay Systems, Elsevier (Butterworth-Heinemann), pp.441-461, 2019, ⟨10.1016/B978-0-12-814928-7.00022-6⟩. ⟨hal-02343056⟩
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