Mathematical Problems in Engineering

Mathematical Problems in Engineering / 2000 / Article

Open Access

Volume 6 |Article ID 507098 |

J. Reyes-Reyes, W. Yu, A. S. Poznyak, "Passivation and control of partially known SISO nonlinear systems via dynamic neural networks", Mathematical Problems in Engineering, vol. 6, Article ID 507098, 23 pages, 2000.

Passivation and control of partially known SISO nonlinear systems via dynamic neural networks

Received13 Sep 1999
Revised29 Oct 1999


In this paper, an adaptive technique is suggested to provide the passivity property for a class of partially known SISO nonlinear systems. A simple Dynamic Neural Network (DNN), containing only two neurons and without any hidden-layers, is used to identify the unknown nonlinear system. By means of a Lyapunov-like analysis the new learning law for this DNN, guarantying both successful identification and passivation effects, is derived. Based on this adaptive DNN model, an adaptive feedback controller, serving for wide class of nonlinear systems with an a priori incomplete model description, is designed. Two typical examples illustrate the effectiveness of the suggested approach.

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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