Recursive black-box identification of nonlinear state-space ODE models

Nonlinear system identification methods is a topic that has been gaining interest over the last years. One reason is the many application areas in controller design and system development. However, ...

[1]  Torbjörn Wigren,et al.  Recursive prediction error identification using the nonlinear wiener model , 1993, Autom..

[2]  Sirish L. Shah,et al.  Gray-box identification of dynamic models for the bleaching operation in a pulp mill , 2005 .

[3]  T. Söderström,et al.  Instrumental-variable methods for identification of Hammerstein systems , 1982 .

[4]  N. Wiener,et al.  Nonlinear Problems in Random Theory , 1964 .

[5]  J. Alvarez-Ramirez,et al.  An adaptive control strategy for anaerobic digester , 1996, Proceeding of the 1996 IEEE International Conference on Control Applications IEEE International Conference on Control Applications held together with IEEE International Symposium on Intelligent Contro.

[6]  A. W. M. van den Enden,et al.  Discrete Time Signal Processing , 1989 .

[7]  Torbjörn Wigren,et al.  Recursive prediction error identification and scaling of non-linear state space models using a restricted black box parameterization , 2006, Autom..

[8]  S. Simani.  Identification of a chemical process for fault detection application , 2004, Proceedings of the 2004 American Control Conference.

[9]  Sheng Chen,et al.  Representations of non-linear systems: the NARMAX model , 1989 .

[10]  Stefan Johansson,et al.  High order difference approximations for the linearized Euler equations , 2004 .

[11]  T. Wigren,et al.  Recursive identification based on nonlinear state space models applied to drum-boiler dynamics with nonlinear output equations , 2005, Proceedings of the 2005, American Control Conference, 2005..

[12]  Grazyna Pajunen,et al.  Adaptive control of wiener type nonlinear systems , 1992, Autom..

[13]  P. Kumar,et al.  Theory and practice of recursive identification , 1985, IEEE Transactions on Automatic Control.

[14]  Peter Nauclér,et al.  Modeling and control of vibration in mechanical structures , 2005 .

[15]  Isabelle Queinnec,et al.  Macroscopic modelling and identification of an anaerobic waste treatment process , 2003 .

[17]  Tamer Basar,et al.  Analysis of Recursive Stochastic Algorithms , 2001 .

[18]  Torbjörn Wigren,et al.  CONSTRAINED ODE MODELING AND KALMAN FILTERING FOR RECURSIVE IDENTIFICATION OF NONLINEAR SYSTEMS , 2006 .

[19]  Lawrence A. Shepp,et al.  A model for stock price fluctuations based on information , 2002, IEEE Trans. Inf. Theory.

[20]  George M. Siouris,et al.  Applied Optimal Control: Optimization, Estimation, and Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[21]  Michel Verhaegen,et al.  Identifying MIMO Wiener systems using subspace model identification methods , 1996, Signal Process..

[22]  Jesper Wilhelmsson.  Efficient memory management for message-passing concurrency, Part I : Single-threaded execution , 2005 .

[23]  Stephen A. Billings,et al.  International Journal of Control , 2004 .

[24]  Lennart Ljung,et al.  Nonlinear black-box modeling in system identification: a unified overview , 1995, Autom..

[25]  João M. Lemos,et al.  Reduced complexity adaptive nonlinear control of a distributed collector solar field , 2002 .

[26]  Tor Arne Johansen,et al.  Energy-based control of a distributed solar collector field , 2002, Autom..

[27]  Niklas Johansson,et al.  Usable IT systems for mobile work , 2005 .

[28]  Paul Sjöberg,et al.  Numerical solution of the Fokker–Planck approximation of the chemical master equation , 2005 .

[29]  Magnus Evestedt,et al.  Parameter and state estimation using audio and video signals , 2005 .

[30]  T. Wigren.  Convergence analysis of recursive identification algorithms based on the nonlinear Wiener model , 1994, IEEE Trans. Autom. Control..

[31]  Stephen A. Billings,et al.  Identification of systems containing linear dynamic and static nonlinear elements , 1982, Autom..

[32]  Zygmunt Hasiewicz,et al.  On Nonparametric Identification of Wiener Systems , 2007, IEEE Transactions on Signal Processing.

[33]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[34]  S. Billings,et al.  Identification of nonlinear systems using the Wiener model , 1977 .

[35]  Karl Johan Åström,et al.  Drum-boiler dynamics , 2000, Autom..

[36]  L. Ljung,et al.  Design variables for bias distribution in transfer function estimation , 1986, The 23rd IEEE Conference on Decision and Control.

[37]  T. Wigren,et al.  Scaling of the sampling period in nonlinear system identification , 2005, Proceedings of the 2005, American Control Conference, 2005..

[38]  Jonathan R. Partington,et al.  On linear models for nonlinear systems , 2003, Autom..

[39]  Torbjörn Wigren,et al.  MATLAB software for recursive identification and scaling using a structured nonlinear black-box model : Revision 4 , 2005 .

[40]  L. Brus,et al.  Nonlinear identification of an anaerobic digestion process , 2005, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005..

[41]  J. Lunze,et al.  Dynamic modelling of a biogas tower reactor , 1998 .

[42]  Linda Brus,et al.  Convergence analysis of a recursive identification algorithm for nonlinear ODE models with a restricted black-box parameterization , 2007, 2007 46th IEEE Conference on Decision and Control.

[43]  Manuel Berenguel,et al.  Modelling the free response of a solar plant for predictive control , 1998 .

[44]  Narasimhan Sundararajan,et al.  Nonlinear Adaptive Neural Controller for Unstable Aircraft , 2005 .

[45]  R. de Figueiredo.  The Volterra and Wiener theories of nonlinear systems , 1982, Proceedings of the IEEE.

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

[47]  L. Brus.  Nonlinear identification of a solar heating system , 2005, Proceedings of 2005 IEEE Conference on Control Applications, 2005. CCA 2005..

[48]  Torsten Bohlin,et al.  A case study of grey box identification , 1994, Autom..

[49]  T. Teichmann,et al.  Dynamics of Flight: Stability and Control , 1959 .

[50]  Jonas Funkquist,et al.  On Modeling and Identification of a Continuous Pulp Digester , 1994 .

[51]  Erik Bängtsson.  Robust preconditioned iterative solution methods for large-scale nonsymmetric problems , 2005 .

[52]  Marios M. Polycarpou,et al.  Backstepping-Based Flight Control with Adaptive Function Approximation , 2005 .

[53]  H. Weinert,et al.  Bryson, A. E./ Ho, Y.-C., Applied Optimal Control, Optimization, Estimation, and Control. New York-London-Sydney-Toronto. John Wiley & Sons. 1975. 481 S., £10.90 , 1979 .

[54]  Brian D. O. Anderson,et al.  Recursive identification of nonlinear plants operating in closed loop using kernel representations , 2002, Autom..

[55]  Lennart Ljung,et al.  Theorems for the Asymptotic Analysis of Recursive Stochastic Algorithms , 1975 .