Feedback-Linearization-Based Neural Adaptive Control for Unknown Nonaffine Nonlinear Discrete-Time Systems

  • Authors:
  • Hua Deng;Han-Xiong Li;Yi-Hu Wu

  • Affiliations:
  • Key Lab. of Modern Complex Equip. Design & Extreme Manuf., Minist. of Educ., Changsha;-;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2008

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Abstract

A new feedback-linearization-based neural network (NN) adaptive control is proposed for unknown nonaffine nonlinear discrete-time systems. An equivalent model in afflne-like form is first derived for the original nonaffine discrete-time systems as feedback linearization methods cannot be implemented for such systems. Then, feedback linearization adaptive control is implemented based on the affine-like equivalent model identified with neural networks. Pretraining is not required and the weights of the neural networks used in adaptive control are directly updated online based on the input-output measurement. The dead-zone technique is used to remove the requirement of persistence excitation during the adaptation. With the proposed neural network adaptive control, stability and performance of the closed-loop system are rigorously established. Illustrated examples are provided to validate the theoretical findings.