Transactions on Control, Automation and Systems Engineering

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

Identification and Control of Nonlinear Systems Using Haar Wavelet Networks

  • Sokho Chang (DongSung Infocomm) ;
  • Lee, Seok-Won (Dept. of Control Engineering, Kangwon National University) ;
  • Nam, Boo-Hee (BK21 Dept. of Electrical and Computer Engineering, Kangwon National University)
  • Published : 2000.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, Haar wavelet-based neural network is described for the identification and control of discrete-time nonlinear dynamical systems. Wavelets are suited to depict functions with local nonlinearities and fast variations because of their intrinsic properties of finite support and self-similarity. Due to the orthonormal properties of Haar wavelet functions, wavelet neural networks result in a greatly simplified training problem. This wavelet-based scheme performs adaptively both the identification of nonlinear functions and the control of the overall system, while the multilayer neural network is applied to the control system just after its sufficient learning of the unknown functions. Simulation shows that the wavelet network can be a good alternative to a multilayer neural network with backpropagation.

Keywords

References

  1. IEEE Trans. NN v.4 no.1 Analysis and synthesis of feedforward neural networks using discrete affine wavelet transforms Y. C. Pati;P. S. Krishnaprasad
  2. IEEE Trans. Signal Processing v.43 no.6 Wavelet neural networks for function learning J. Zhang;G. G. Walter;Y. Miao;W. N. W. Lee
  3. Proceedings of the 35th Conference on Decision and Control Adaptive wavelet network control design for nonlinear systems B. S. Chen;Y. M. Cheng
  4. Proceedings of the 35th Conference on Decision and Control Multi-input system identification and its applications using wavelet constructive method L. F. Yeung;X. W. Li
  5. Proceedings of the American Control Conference Electric fault detection for vector-controlled induction motors using the discrete wavelet transform C. M. Chen;K. A. Loparo
  6. Proceedings of the American Control Conference Identification of friction at low velocities using wavelet basis function network H. Du;S. S. Nair
  7. Introduction to Wavelets and Wavelet Transforms C. S. Burrus;R. A. Gopinath;H. Guo
  8. IEEE Transactions on Neural Networks v.3 no.6 Gaussian networks for direct adaptive control R. M. Sanner;J. J. E. Slotine
  9. Neurocomputing v.9 no.3 Space-frequency localization networks for nonlinear system estimation and control M. Cannon;J. J. E. Slotine
  10. IEEE Trans. NN v.1 no.1 Identification and control of dynamical systems using neural networks K. S. Narendra;K. Parthasarathy
  11. MATLAB Wavelet Toolbox MathWorks Inc.