Adaptive Feedback Linearization Using Efficient Neural Networks

  • Authors:
  • A. Yeş/ildirek;F. L. Lewis

  • Affiliations:
  • Electrical and Computer Engineering, Gannon University, 109 University Square, Erie, PA 16541, U.S.A./ e-mail: yesildirek@gannon.edu;Automation and Robotics Research Institute, The University of Texas at Arlington, 7300 Jack Newell Blvd. S. Ft. Worth, Texas 76118, U.S.A./ e-mail: flewis@arri.uta.edu

  • Venue:
  • Journal of Intelligent and Robotic Systems
  • Year:
  • 2001

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Abstract

For a class of single-input, single-output, continuous-time nonlinear systems, a feedback linearizing neural network (NN) controller is presented. Control action is used to achieve tracking performance. The controller is composed of a robustifying term and two neural networks adapted on-line to linearize the system by approximating two nonlinear functions. A stability proof is given in the sense of Lyapunov. No off-line weight learning phase is needed and initialization of the network weights is straightforward. The NN controller is tested on a standard benchmark problem.