Reference tracking of nonlinear dynamic systems over AWGN channel using the describing function

Document Type : Article


Department of Electrical Engineering, Sharif University of Technology, Tehran, Iran.


This paper presents a new technique for mean square asymptotic reference tracking of nonlinear
dynamic systems over Additive White Gaussian Noise (AWGN) channel. The nonlinear dynamic system
has periodic outputs to sinusoidal inputs and is cascaded with a bandpass filter acting as encoder.
Using the describing function method, the nonlinear dynamic system is represented by an equivalent
linear dynamic system. Then, for this system, a mean square asymptotic reference tracking technique
including an encoder, decoder and a controller is presented. It is shown that the proposed reference
tracking technique results in mean square asymptotic reference tracking of nonlinear dynamic systems
over AWGN channel. The satisfactory performance of the proposed reference tracking technique is
illustrated using practical example simulations.


Main Subjects

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