Takagi---Sugeno Fuzzy Hopfield Neural Networks for $${\mathcal{H}_{\infty}}$$ Nonlinear System Identification

  • Authors:
  • Choon Ki Ahn

  • Affiliations:
  • Department of Automotive Engineering, Seoul National University of Science & Technology, Seoul, Korea 139-743

  • Venue:
  • Neural Processing Letters
  • Year:
  • 2011

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Abstract

In this paper, we propose a new $${\mathcal H_\infty}$$ weight learning algorithm (HWLA) for nonlinear system identification via Takagi---Sugeno (T---S) fuzzy Hopfield neural networks with time-delay. Based on Lyapunov stability theory, for the first time, the HWLA for nonlinear system identification is presented to reduce the effect of disturbance to an $${\mathcal{H}_{\infty }}$$ norm constraint. The HWLA can be obtained by solving a convex optimization problem which is represented in terms of linear matrix inequality (LMI). An illustrative example is given to demonstrate the effectiveness of the proposed identification scheme.