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Frequency domain subspace identification of commensurate fractional order input time delay systems

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Abstract

A frequency domain subspace identification of fractional order systems with input timedelay is studied in this paper. A new identification method, which combines the merits of differential evolution (DE) algorithm and subspace identification algorithm in frequency domain, is presented. For the optimal search of fractional commensurate differential order and time delay parameters, the DE algorithm is applied. For fixed fractional commensurate differential order and time delay, subspace method is performed to obtain the state space model. Simulation results validate the proposed fractional order system identification method.

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Correspondence to Li Wang.

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Recommended by Editorial Board member Yoshito Ohta under the direction of Editor Jae Weon Choi.

Wang Li received his Ph.D. degree in Control Science and Engineering from University of Science and Technology of China in 2010. His research interests include fractional order controller design and system identification.

Cheng Peng received his Ph.D. degree in Control Science and Engineering from University of Science and Technology of China in 2007. His research interests include vibration control, system identification and soft computing.

Yong Wang received his Ph.D. degree in Automation from Nanjing University of Aeronautics and Astronautics. His research interests include fractional order systems, active vibration control and system identification.

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Wang, L., Cheng, P. & Wang, Y. Frequency domain subspace identification of commensurate fractional order input time delay systems. Int. J. Control Autom. Syst. 9, 310–316 (2011). https://doi.org/10.1007/s12555-011-0213-4

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  • DOI: https://doi.org/10.1007/s12555-011-0213-4

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