Neural Network Approaches For Feedback Linearization

Abstract

In this paper a recent approach is reported, which performs feedback linearization of uncertain nonlinear systems using Artificial Neural Networks (ANNs). Also, a new ANN approach is presented, which tackles a special case of feedback linearization using ANNs. Instead of using the ANN as an estimator of the uncertain system dynamics the ANN is used as a compensator to the effects of the model uncertainties, which appear in the linearizing control law. The updating of the neural weights is carried out on-line using a conventional back propagation scheme, where the error to be minimized is chosen such that it ensures the stability of the tracking error system. The proposed method is tested on a well known nonlinear system and its application on a fermentation process is reported.
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