Efficient System Identification using a Low Complexity Nonlinear Network with Differential Evolution and its variant based Training Schemes

Direct modeling plays a very important role in many engineering applications including telecommunication, power system, image processing, VLSI design, biological processes, control engineering and geophysics applications. In case of control and telecommunication applications, direct modeling is used for channel estimation, parameter estimation and forecasting. There are standard algorithms and models which can be conveniently used for effectively identifying the parameters of simple direct and inverse systems. However, in practice we encounter with various complex systems, whose direct models needs to be created for various applications. As an illustration, the system can be non linear, dynamic or both of it. In such situations, creation of direct models is a difficult task. It is evident from the literature survey that, many sincere attempts have been made to create direct model of such complex systems. However, their performance has been observed to be unsatisfactory. Therefore in the present work, a sincere attempt has been made to address all these issues and provide possible satisfactory solutions by using low complexity nonlinear network and population based differential evolution(DE) based learning algorithm. General Terms Direct modeling, dynamic systems, low complexity nonlinear network

[1]  David B. Fogel,et al.  An introduction to simulated evolutionary optimization , 1994, IEEE Trans. Neural Networks.

[2]  Terence C. Fogarty,et al.  A Genetic Algorithm with Variable Range of Local Search for Tracking Changing Environments , 1996, PPSN.

[3]  Derrick H. Nguyen,et al.  Neural networks for self-learning control systems , 1990 .

[4]  Anyong Qing Electromagnetic inverse scattering of multiple perfectly conducting cylinders by differential evolution strategy with individuals in groups (GDES) , 2004, IEEE Transactions on Antennas and Propagation.

[5]  Dejan J. Sobajic,et al.  Neural-net computing and the intelligent control of systems , 1992 .

[6]  B. Widrow,et al.  Neural networks for self-learning control systems , 1990, IEEE Control Systems Magazine.

[7]  Wirt Atmar,et al.  Notes on the simulation of evolution , 1994, IEEE Trans. Neural Networks.

[8]  Adel Belouchrani,et al.  Estimation of Multicomponent Polynomial-Phase Signals Impinging on a Multisensor Array Using State–Space Modeling , 2007, IEEE Transactions on Signal Processing.

[9]  L. Lakshminarasimman,et al.  Short-term scheduling of hydrothermal power system with cascaded reservoirs by using modified differential evolution , 2006 .

[10]  R. D. Figueiredo The Volterra and Wiener theories of nonlinear systems , 1982 .

[11]  Shiwen Yang,et al.  Sideband suppression in time-modulated linear arrays by the differential evolution algorithm , 2002, IEEE Antennas and Wireless Propagation Letters.

[12]  Tsu-Tian Lee,et al.  The Chebyshev-polynomials-based unified model neural networks for function approximation , 1998, IEEE Trans. Syst. Man Cybern. Part B.

[13]  Jian Li,et al.  Multistatic Adaptive Microwave Imaging for Early Breast Cancer Detection , 2006, IEEE Transactions on Biomedical Engineering.

[14]  Yaman Arkun,et al.  Control of nonlinear systems using polynomial ARMA models , 1993 .

[15]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[16]  Feng Ding,et al.  Identification of Hammerstein nonlinear ARMAX systems , 2005, Autom..

[17]  Marco Furini,et al.  International Journal of Computer and Applications , 2010 .

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

[19]  Lalit M. Patnaik,et al.  Genetic algorithms: a survey , 1994, Computer.

[20]  P. Siarry,et al.  An improvement of the standard genetic algorithm fighting premature convergence in continuous optimization , 2000 .

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

[22]  René Thomsen,et al.  A comparative study of differential evolution, particle swarm optimization, and evolutionary algorithms on numerical benchmark problems , 2004, Proceedings of the 2004 Congress on Evolutionary Computation (IEEE Cat. No.04TH8753).

[23]  Ganapati Panda,et al.  Identification of nonlinear dynamic systems using functional link artificial neural networks , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[24]  Rainer Storn,et al.  Differential Evolution Design of an IIR-Filter with Requirements for Magnitude and Group Delay , 1995 .

[25]  Anna Kucerová,et al.  Improvements of real coded genetic algorithms based on differential operators preventing premature convergence , 2004, ArXiv.

[26]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[27]  Henk Nijmeijer,et al.  System identification in communication with chaotic systems , 2000 .