A Neurofuzzy Adaptive Kalman Filter

In this work the recently developed fuzzy logic-based adaptive Kalman filter (FL-AKF) is integrated into a neurofuzzy network structure to perform system identification and state estimation of unknown nonlinear systems. This approach, referred to as neurofuzzy adaptive Kalman filter, uses the error signal in the identification process as the measurement noise signal for the FL-AKF in order to estimate the modelling error at the same time in which system identification is performed by the neurofuzzy network. This has a stabilisation effect during the training process when noise is present in the training data. A simulated example is presented to validate the effectiveness of the proposed approach

[1]  D. J. Mills,et al.  The representation of fuzzy algorithms used in adaptive modelling and control schemes , 1996, Fuzzy Sets Syst..

[2]  Xia Hong,et al.  Variable selection algorithm for the construction of MIMO operating point dependent neurofuzzy networks , 2001, IEEE Trans. Fuzzy Syst..

[3]  R. Mehra On the identification of variances and adaptive Kalman filtering , 1970 .

[4]  Stephen A. Billings,et al.  Nonlinear model validation using correlation tests , 1994 .

[5]  Richard D. Braatz,et al.  On the "Identification and control of dynamical systems using neural networks" , 1997, IEEE Trans. Neural Networks.

[6]  Christopher J. Harris,et al.  A neurofuzzy network structure for modelling and state estimation of unknown nonlinear systems , 1997, Int. J. Syst. Sci..

[7]  N. Mort,et al.  Development of a fuzzy logic-based adaptive Kalman filter , 2001, 2001 European Control Conference (ECC).

[8]  Chuen-Tsai Sun,et al.  Neuro-fuzzy modeling and control , 1995, Proc. IEEE.

[9]  Hassan K. Khalil,et al.  Adaptive control of a class of nonlinear discrete-time systems using neural networks , 1995, IEEE Trans. Autom. Control..

[10]  J. Nazuno Haykin, Simon. Neural networks: A comprehensive foundation, Prentice Hall, Inc. Segunda Edición, 1999 , 2000 .

[11]  Chris J. Harris,et al.  Neurofuzzy state estimators and their applications , 1999 .

[12]  Robert Grover Brown,et al.  Introduction to random signals and applied Kalman filtering : with MATLAB exercises and solutions , 1996 .

[13]  Guoping Liu,et al.  Neural network-based variable structure control for nonlinear discrete systems , 1999, Int. J. Syst. Sci..

[14]  N. Mort,et al.  ADAPTIVE KALMAN FILTERING THROUGH FUZZY LOGIC , 2008 .

[15]  Raman K. Mehra,et al.  Approaches to adaptive filtering , 1970 .

[16]  Martin Brown,et al.  Neurofuzzy adaptive modelling and control , 1994 .

[17]  Martin Brown,et al.  Intelligent Neurofuzzy Estimators and Multisensor Data Fusion , 1997 .

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

[19]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[20]  A. H. Mohamed,et al.  Adaptive Kalman Filtering for INS/GPS , 1999 .