15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
FEEDBACK LINEARIZATION USING A MINIMIZED STRUCTURE NEURAL NETWORK
Saman Orafa    M.J. Yazdanpanah
Department of Electrical and Computer Engineering,
Faculty of Engineering, University of Tehran, Tehran, Iran.
: sa_orafa@yahoo.com
: yazdan@sofe.ece.ut.ac.ir

Abstract - For a class of single-input single-output continuous-time nonlinear systems, a three-layer neural network-based controller that feedback linearizes the system is presented. The control structure consists of a feedback linearization portion provided by two neural networks plus a robustifying portion that keeps the control magnitude bounded .This paper, in some sense, is the contribution of the work done by Yesildirek and Lewis. It is shown that a new look at the weight update formulas makes it possible to obtain very simple network structures with only two neurons in their hidden layers, which results in a reduced number of controller equations without changing the corresponding stability results. This reduces network complexities and makes output tracking faster. It is shown that all the signals in the closed-loop system are uniformly ultimately bounded. No off-line learning phase is needed, Initialization of the network weights is straightforward.
Keywords: Feedback linearization, high gain neuron, robust-adaptive control, Lyapunov stability
Session slot T-Fr-A21: Posters of Learning, Stochastic, Fuzzy and Nerural Systems/Area code 3e : Fuzzy and Neural Systems