15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
NONLINEAR CONTROL SYSTEMS MODELLING USING LOCAL LINEAR MAPPINGS
Andrzej Dzieliński,* Waldemar Graniszewski*
* Institute of Control and Industrial Electronics, Warsaw University of
Technology, Koszykowa 75, 00-662 Warsaw, Poland

In this paper new nonlinear control systems modelling methodology is presented. The nonlinear system is given in the form of NARX model. Modelling method is based on decomposition of the nonlinear function (right-hand side of the NARX model) into multiple local linear mappings. These mappings are represented by a self-organising neural network and a local linear mapping is associated with each neuron. The network is trained by a combination of vector quantisation and Winner Takes Most procedure. The application of the proposed method to modelling of nonlinear control system is also given.
Keywords: Nonlinear systems, System modelling, Local Linear Mappings, Neural Networks
Session slot T-We-M21: Posters of Modelling, Identification and Discrete Systems/Area code 3a : Modelling, Identification and Signal Processing