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Subspace identification for fractional order Hammerstein systems based on instrumental variables

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Abstract

This paper focuses on time-domain identification issues of multi-input multi-output (MIMO) fractional order Hammerstein systems which are the extension of traditional Hammerstein type models by allowing linear part to be fractional order systems. The principal component analysis (PCA) method in subspace family is extended to identify coefficient matrixes of fractional order systems. Singular value decomposition (SVD) is utilized to estimate the unknown parameters of nonlinear part of system directly. A proper instrumental variable is chosen to eliminate the bias of identification results. Numerical simulation validates the proposed method.

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Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, No. 96 Jinzhai Road, Hefei, Anhui, China

    Zeng Liao

  2. People’s Liberation Army, 63818, Xichang, Sichuan, China

    Zeng Liao

  3. Department of Automation, University of Science and Technology of China, No. 96 Jinzhai Road, Hefei, Anhui, China

    Zhuting Zhu, Shu Liang, Cheng Peng & Yong Wang

Authors
  1. Zeng Liao
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  2. Zhuting Zhu
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  3. Shu Liang
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  4. Cheng Peng
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  5. Yong Wang
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Corresponding author

Correspondence to Zeng Liao.

Additional information

Recommended by Editorial Board member Jietae Lee under the direction of Editor Jae Weon Choi.

This work is supported by National Natural Science Foundation (NNSF) of China under Grants 61004017, 60974103.

Zeng Liao received his MA.Sc. degree in Navigation, Guidance and Control from University of Science and Technology of China in 2012. His research interests include fractional order systems identification.

Zhuting Zhu received her MA.Sc. degree in Navigation, Guidance and Control from University of Science and Technology of China in 2012. Her research interests include fractional order navigation laws design.

Shu Liang received his B.Eng. degree in Automation from University of Science and Technology of China in 2010. His research interests include fractional order systems stability analysis and controllers design.

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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Liao, Z., Zhu, Z., Liang, S. et al. Subspace identification for fractional order Hammerstein systems based on instrumental variables. Int. J. Control Autom. Syst. 10, 947–953 (2012). https://doi.org/10.1007/s12555-012-0511-5

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  • DOI: https://doi.org/10.1007/s12555-012-0511-5

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