15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
DIRECT MNN CONTROL OF A CLASS OF DISCRETE-TIME NON-AFFINE NONLINEAR SYSTEMS
S. S. Ge1, J. Zhang and T. H. Lee
Department of Electrical and Computer Engineering
National University of Singapore
Singapore 117576

In this paper, direct adaptive neural network control is presented for a class of discrete-time SISO non-affine nonlinear systems. Based on the input-output model, multi-layer neural networks are used to emulate the implicit desired feedback control. For the multi-layer neural network control, projection algorithms are used to guarantee the boundness of the neural network weights. The stability of the closed-loop system is proved by using Lyapunov theorem.
Keywords: Non-affine nonlinear systems, implicit function theorem, multi-layer neural networks, projection algorithm, discrete-time systems

1Corresponding author. Tel. (65) 8746821; Fax. (65) 7791103; E-mail: elegesz@nus.edu.sg
E-mail: engp0378@nus.edu.sg
Session slot T-Th-A07: Nonlinear Discrete Time Systems I/Area code 2c : Non-linear Systems