Asymptotic tracking of uncertain systems with continuous control using adaptive bounding

  • Authors:
  • Vahram Stepanyan;Andrew Kurdila

  • Affiliations:
  • Mission Critical Technologies Inc., NASA Ames Research Center, Moffett Field, CA;Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2009

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Abstract

This paper presents a robust adaptive control design method for a class of multiple-input-multiple-output uncertain nonlinear systems in the presence of parametric and nonparametric uncertainties and bounded disturbances. Using the approximation properties of the unknown continuous nonlinearities and the adaptive bounding technique, the developed controller achieves asymptotic convergence of the tracking error to zero, while ensuring boundedness of parameter estimation errors. The algorithm does not assume the knowledge of any bound on the unknown quantities in designing the controller. It is based on an integral technique involving the filtered tracking error and produces a continuous control. Theoretical developments are illustrated via simulation results.