Advances in fractional model identification

This paper presents an overview and the recent advances of the time domain system identification using fractional models. The main methods are presented and commented for the linear, non-linear and multivariable fractional order systems.

[1]  A. Oustaloup La dérivation non entière , 1995 .

[2]  A. Oustaloup,et al.  Fractional state variable filter for system identification by fractional model , 2001, 2001 European Control Conference (ECC).

[3]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[4]  Thierry Poinot,et al.  IDENTIFICATION OF NON LINEAR FRACTIONAL SYSTEMS USING CONTINUOUS TIME NEURAL NETWORKS , 2006 .

[5]  Amit Konar,et al.  Complete Identification of a Dynamic Fractional Order System Under Non-ideal Conditions Using Fractional Differintegral Definitions , 2008, 2008 16th International Conference on Advanced Computing and Communications.

[6]  Halbert White,et al.  Learning in Artificial Neural Networks: A Statistical Perspective , 1989, Neural Computation.

[7]  Alina Voda,et al.  Recursive prediction error identification of fractional order models , 2012 .

[8]  Thierry Poinot,et al.  Approximation and identification of diffusive interfaces by fractional models , 2006, Signal Process..

[9]  Thierry Poinot,et al.  A method for modelling and simulation of fractional systems , 2003, Signal Process..

[10]  I. Kostial,et al.  Identification of Fractional-Order Dynamical Systems , 2002 .

[11]  T. Johansen,et al.  Identification of non-linear system structure and parameters using regime decomposition , 1994, Autom..

[12]  Peter J. Torvik,et al.  FRACTIONAL CALCULUS - A DIFFERENT APPROACH TO THE FINITE ELEMENT ANALYSIS OF VISCOELASTICALLY DAMPED STRUCTURES. , 1981 .

[13]  J. C. Wang Realizations of Generalized Warburg Impedance with RC Ladder Networks and Transmission Lines , 1987 .

[14]  R. Malti,et al.  Multivariable identification of continuous-time fractional system , 2009 .

[15]  J. Sabatier,et al.  TUTORIAL ON SYSTEM IDENTIFICATION USING FRACTIONAL DIFFERENTIATION MODELS , 2006 .

[16]  Changchun Hua,et al.  Parameter identification of commensurate fractional-order chaotic system via differential evolution , 2012 .

[17]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  R. Guidorzi Canonical structures in the identification of multivariable systems , 1975, Autom..

[19]  Peter J. Torvik,et al.  Fractional calculus-a di erent approach to the analysis of viscoelastically damped structures , 1983 .

[20]  Marc Bodson,et al.  Adaptive Harmonic Steady‐State Disturbance Rejection with Frequency Tracking , 2013 .

[21]  Alain Oustaloup,et al.  Non Integer Model from Modal Decomposition for Time Domain System Identification , 2000 .

[22]  Rachid Mansouri,et al.  Multi-model identification of a fractional non linear system , 2013 .

[23]  M. Bettayeb,et al.  Identification of Multivariable Fractional Order Systems , 2013 .

[24]  Olivier Gibaru,et al.  Identification of fractional order systems using modulating functions method , 2013, 2013 American Control Conference.

[25]  Tor Arne Johansen,et al.  Identification of non-linear system structure and parameters using regime decomposition , 1995, Autom..

[26]  Alain Oustaloup,et al.  Synthesis of fractional Laguerre basis for system approximation , 2007, Autom..

[27]  A. Charef Modeling and Analog Realization of the Fundamental Linear Fractional Order Differential Equation , 2006 .

[28]  A. Oustaloup,et al.  Utilisation de modèles d'identification non entiers pour la résolution de problèmes inverses en conduction , 2000 .

[29]  Alain Oustaloup,et al.  Instrumental variable method with optimal fractional differentiation order for continuous-time system identification , 2009 .

[30]  Rachid Mansouri,et al.  Heat transfer modeling and identification using fractional order state space models , 2008 .

[31]  Alain Oustaloup,et al.  Advances in System Identification Using Fractional Models , 2008 .

[32]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .