Robust identification of uncertain nonlinear systems with state constrains by differential neural networks

  • Authors:
  • Alejando García;Isaac Chairez;Alexander Poznyak;Tatyana Poznyak

  • Affiliations:
  • Department of Automatic Control, CINVESTAV-IPN, México;Profesional Interdisciplinary Unit of Biotechnology, IPN, Barrio la Laguna Ticoman;Department of Automatic Control, CINVESTAV-IPN, México;Superior School of Chemical Engineering and Extractive Industries, ESIQIE-IPN

  • Venue:
  • IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
  • Year:
  • 2009

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Abstract

Non parametric identifier based on Differential Neural Networks is presented. Nonlinear systems with the a priori information about state constrains are considered. Differential Neural Network Identifier includes a projectional operator as part of its structure in order to keep the state restrictions. Stability Analysis based on Lyapunov-Krasovskii energetic-function lets proof the ultimated boundedness of error estimation. Free parameters stability of DNNI (Adaptive Weights) is also proved. Simulation examples regarding to biotechnological process and the Chua's circuit depict the main advantages of the proposed structure against reported Differential Neural Network with similar structure but without projectional operator.