ABSTRACT
This study proposes an identification algorithm for a time-delay fractional-order system with the measurement noise via the modulating function approach. The polynomial function is adopted as the modulating function, and the approach to determine the coefficients of the modulating function is provided. By the property of modulating function, the identified fractional-order equation is converted into an algebraic equation. By the recursive least squares estimation algorithm, the estimation method of coefficients is offered. Supposing that the measurement noise in the output signal is the Gauss white noise, a revised identification algorithm is proposed to compensate the effect of measurement noise. Finally, two examples are given to verify the effectiveness of the proposed method.
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No potential conflict of interest was reported by the author.
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Zhe Gao
Zhe Gao received his B.S. degree from Shenyang Ligong University, Shenyang, China in 2006. He received his M.S. degree from Northeastern University, Shenyang, China in 2008. Then, he received his Ph.D. degree in Control Theory and Control Engineering from Beijing Institute of Technology, Beijing, China in 2012. He is currently an associate professor in the Department of Electrical Engineering and Automation, College of Light Industry, Liaoning Univeristy, Shenyang, China. His research interests include identification and control for fractional-order systems, sliding mode control and robust control.