DOI 10.17586/0021-3454-2017-60-6-487-494
UDC 681.5
FAST ESTIMATION OF CHAOTIC SIGNAL GENERATOR PARAMETERS
ITMO University, Saint Petersburg, 197101, Russian Federation; Head of the School of Computer Technologies and Control, Professor at the Faculty of Control Systems and Robotics, Head of the Adaptive and Nonlinear Control Systems Lab
O. I. Borisov
ITMO University, Saint Petersburg, 197101, Russian Federation; postgraduate,engineer
V. S. Gromov
ITMO University, Saint Petersburg, 197101, Russian Federation; Associate Professor
A. A. Pyrkin
ITMO University, Saint Petersburg, 197101, Russian Federation; Full Professor, Dean
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Abstract. The problem of parameter estimation for Duffing-like chaotic signal is addressed. A new method with performance enhancement is proposed. Fast estimation of parameters is achieved with introduction of additional filtered linear regression models for each parameter of the signal. Results of simulation are presented, comparison with the gradient method is carried out. Various applications of the proposed method, such as double well and pendulum system, electrical circuits with specific parameters, and chaotic types transmitting systems are considered. The short time of parameters estimation allows for using the proposed method for estimating switching parameters in chaotic Duffing-like systems.
Keywords: chaotic systems, nonlinear systems, Duffing oscillator, parameter estimation
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