Scholarly Communications Project

Adaptive Self-Tuning Neuro Wavelet Network Controllers


Gaviphat Lekutai

PhD Dissertation submitted to the Faculty of the Virginia Tech in partial fulfillment of the requirements for the degree of

Doctor of Philosophy


Electrical Engineering


Dr. VanLandingham, Hugh, Chair
Dr. Richard L. Moose
Dr. Jeffrey H. Reed
Dr. Ioannis M. Besieris
Dr. Kenneth Hannsgen

March 31, 1997
Blacksburg, Virginia


Single layer feedforward neural networks with hidden nodes of adaptive wavelet functions (wavenets) have been successfully demonstrated to have potential in many applications. Yet applications in the process control area have not been investigated. In this paper an application to a self-tuning design method for an unknown nonlinear system is presented. Different types of frame wavelet functions are integrated for their simplicity, availability, and capability of constructing adaptive controllers. Infinite impulse response (IIR) recurrent structures are combined in cascade to the network to provide a double local structure resulting in improved speed of learning. In particular, neuro-based controllers assume a certain model structure to approximate the system dynamics of the ³unknown² plant and generate the control signal. The capability of neuro-controllers to self-tuning of an unknown nonlinear plants is then illustrated through design examples. Simulation results demonstrate that the self-tuning design methods are directly applicable for a large class of nonlinear control systems.

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