On embedded FIR filter models for identifying continuous-time and discrete-time transfer functions: the RPM approach

References

• Abdelmadjid , B , Maamri , N and Trigeassou , JC . 2007 . The Moments in Control: A Tool for Analysis, Reduction and Design . International Journal of Computers, Communications and Control , 2 : 82 – 103 .
   Google Scholar
• Abdelmadjid , B , Maamri , N and Trigeassou , JC . 2008 . Design of a MIMO PID Robust Controller using Moments Based Approach . International Journal of Computers, Communications and Control , 3 : 125 – 134 .
   Google Scholar
• Bruni , C , Isidori , A and Ruberti , A . 1969 . A Method of Realisation Based on the Moments of the Impulse-response Matrix . IEEE Transactions on Automatic Control , 14-2 : 203 – 204 .
   Google Scholar
• Coirault , P , Trigeassou , JC , Gaubert , JP and Champenois , G . 1995 . Parameter Estimation of an Induction Machine using Reinitialised Partial Moments . IEEE Conference on Control Applications . 1995 . pp. 979 – 984 .
   Google Scholar
• Coirault , P , Trigeassou , JC , Kerignard , D and Gaubert , JP . 1996 . Recursive Parameter Identification of an Induction Machine using a Non Linear Programming Method . IEEE Conference on Control Applications . 1996 . pp. 644 – 649 .
   Google Scholar
• Cramér , H . 1946 . Mathematical Methods of Statistics , Princeton, NJ : Princeton University Press .
   Google Scholar
• Da Cunha , JP , Champenois , G and Gabano , JD . 1996 . Comparison of Parameter Estimation Algorithms for Continuous Time Models Applied to D.C. Motor Thermal Supervision . Electric Machines and Power Systems , 26 : 839 – 853 .
   Google Scholar
• Djamai, M., Tohme, E., Ouvrard, R., and Bachir, S. (2006), ‘Continuous-time Model Identification using Reinitialised Partial Moments -- Application to Power Amplifier Modelling’, in 14th IFAC Symposium on System Identification, Newcastle, Australia, pp. 1270--1275
   Google Scholar
• Elmore , WC . 1948 . The Transient Response of Damped Linear Networks with Particular Regard to Wideband Amplifiers . Journal of Applied Physics , 19 : 55 – 63 .
   Web of Science ®Google Scholar
• Fliess , M and Sira-Ramírez , H . 2003 . An Algebraic Framework for Linear Identification . ESAIM: Control, Optimisation and Calculus Variations , 9 : 151 – 168 .
   Web of Science ®Google Scholar
• Fliess , M and Sira-Ramírez , H . 2004 . Reconstructeur d'État . Comptes Rendus de L′Académie des Sciences, Série I , 338 : 91 – 96 .
   Google Scholar
• Fliess , M and Sira-Ramírez , H . 2008 . Closed-loop Parametric Identification for Continuoustime Linear Systems via New Algebraic Techniques, Identification of Continuous-time Models from Sampled Data , 383 – 391 . London : Springer .
   Google Scholar
• Garnier, H., Gilson, M., and Huselstein, E. (2003a), ‘Developments for the MATLAB Contsid Toolbox’, in 13th IFAC Symposium on System Identification, Rotterdam, The Netherlands, pp. 1007--1012
   Google Scholar
• Garnier , H , Mensler , M and Richard , A . 2003b . Continuous-time Model Identification from Sampled Data: Implementation Issues and Performance Evaluation . International Journal of Control , 76 : 1337 – 1357 .
   Web of Science ®Google Scholar
• Garnier , H and Wang , L . 2008 . Identification of Continuous-time Models from Sampled Data , London : Springer-Verlag .
   Google Scholar
• Krajewski , W , Lepschy , A and Viaro , U . 1995 . Model Reduction by Matching Markov Parameters, Time Moments, and Impulse-response Energies . IEEE Transactions on Automatic Control , 40 : 949 – 953 .
   Web of Science ®Google Scholar
• Landau , ID . 1976 . Unbiased Recursive Identification using Model Reference Adaptive Techniques . IEEE Transactions on Automatic Control , AC-21 : 194 – 202 .
   Google Scholar
• Ljung , L . 1999 . System Identification -- Theory for the User , 2nd , Upper Saddle River, NJ : Prentice-Hall .
   Google Scholar
• Ljung , L . 2003 . Initialisation Aspects for Subspace and Output-error Identification Methods . European Control Conference . 2003 . Cambridge, , U.K
   Google Scholar
• Ljung, L. (2009), ‘Experiments with Identification of Continuous Time Models’, in 15th IFAC Symposium on System Identification, Saint-Malo, France, pp. 1175--1180
   Google Scholar
• Ljung , L and Söderström , T . 1983 . Theory and Practice of Recursive Identification , London, , England : MIT Press .
   Google Scholar
• Lyzell, C., Enqvist, M., and Ljung, L. (2009), ‘Handling Certain Structure Information in Subspace Identification’, in 15th IFAC Symposium on System Identification, Saint-Malo, France, pp. 90--95
   Google Scholar
• Mensler , M . 1999 . Analyse et Étude Comparative de Méthodes d'Identification des Systèmes à Représentation Continue, Développement d'une Boîte à Outils Logicielle , Université Henri Poincaré, Nancy 1, France .
   Google Scholar
• Mercère , G , Ouvrard , R , Gilson , M and Garnier , H . 2007 . Subspace Based Methods for Continuous-time Model Identification of MIMO Systems from Filtered Sampled Data . European Control Conference . 2007 . Kos, , Greece
   Google Scholar
• Ouvrard , R , Tohme , E , Poinot , T and Abche , A . 2010 . Model Based on the Reinitialised Partial Moments for Initialising Output-error Identification Methods . IET Control Theory and Applications , 4--9 : 1725 – 1738 .
   Google Scholar
• Puri , S and Takeda , H . 1973 . Minimal Realisation of a Symmetric Transfer-function Matrix using Moments . IEEE Transactions on Automatic Control , 18-3 : 305 – 306 .
   Google Scholar
• Rao, G.P., and Garnier, H. (2002), ‘Numerical Illustrations of the Relevance of Direct Continuoustime Model Identification’, in Proceedings of 15th IFAC World Congress, Barcelona, Spain
   Google Scholar
• Rao , GP and Garnier , H . 2004 . Identification of Continuous-time Systems: Direct or Indirect? . Systems Science , 30-3 : 25 – 50 .
   Google Scholar
• Steiglitz , K and McBride , L . 1965 . A Technique for the Identification of Linear Systems . IEEE Transactions on Automatic Control , 10-4 : 461 – 464 .
   Google Scholar
• Tohme, E. (2008), ‘Initialization of Output Error Identification Algorithms’, Université de Poitiers, France, http://laii.univ-poitiers.fr/THESES/elie_tohme.pdf
   Google Scholar
• Tohme , E , Ouvrard , R , Abche , A , Trigeassou , JC , Poinot , T and Mercere , G . 2007 . A Methodology to Enhance the Convergence of Output Error Identification Algorithms . European Control Conference . 2007 . Kos, , Greece
   Google Scholar
• Tohme, E., Ouvrard, R., Poinot, T., Trigeassou, J.C., and Abche, A. (2009), ‘Initialization of Output-error Identification Methods -- Comparison Between ARX and RPM Models’, in 15th IFAC Symposium on System Identification, Saint-Malo, France, pp. 302--307
   Google Scholar
• Tohme , E , Ouvrard , R , Trigeassou , JC and Abche , A . 2006 . A Pseudo-output Error Algorithm to Improve Global Convergence . The 32nd Annual Conference of the IEEE Industrial Electronics Society . 2006 . pp. 659 – 664 . Paris, , France
   Google Scholar
• Trigeassou, J.C. (1980), ‘Identification et Commande de Processus Mono-entrée Mono-sortie par la Méthode des Moments -- Expérimentation Sur Calculatrice Programmable’, Université de Nantes, France
   Google Scholar
• Trigeassou, J.C. (1987), ‘Contribution à l'Extension de la Méthode des Moments en Automatique. Application à l'Identification des Systèmes Linéaires’, Thèse d'Etat, Université de Poitiers, France
   Google Scholar
• Young , P . 1964 . In Flight Dynamic Checkout: A Discussion . IEEE Transactions on Aerospace , AS2 : 1106 – 1111 .
   Google Scholar
• Young , P . 1970 . An Instrumental Variable for Real-time Identification of a Noisy Process . Automatica , 6 : 271 – 287 .
   Web of Science ®Google Scholar
• Young , P . 2008 . The Refined Instrumental Variable Method: Unified Estimation of Discrete and Continuous-time Transfer Function Models . APII-Journal Européen des Systèmes Automatisés , 42 : 149 – 179 .
   Google Scholar
• Zou, Y., and Heath, W.P. (2009), ‘Conditions for Attaining the Global Minimum in Maximum Likelihood System Identification’, in 15th IFAC Symposium on System Identification, Saint-Malo, France, pp. 1110--1115
   Google Scholar