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An improved constrained model predictive control approach for Hammerstein-Wiener nonlinear systems

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Abstract

Many industry processes can be described as Hammerstein-Wiener nonlinear systems. In this work, an improved constrained model predictive control algorithm is presented for Hammerstein-Wiener systems. In the new approach, the maximum and minimum of partial derivative for input and output nonlinearities are solved in the neighbourhood of the equilibrium. And several parameter-dependent Lyapunov functions, each one corresponding to a different vertex of polytopic descriptions models, are introduced to analyze the stability of Hammerstein-Wiener systems, but only one Lyapunov function is utilized to analyze system stability like the traditional method. Consequently, the conservation of the traditional quadratic stability is removed, and the terminal regions are enlarged. Simulation and field trial results show that the proposed algorithm is valid. It has higher control precision and shorter blowing time than the traditional approach.

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Authors and Affiliations

  1. AVIC Aerodynamics Research Institute, Aviation Key Laboratory of Science and Technology on Aerodynamics of High Speed and High Renolds Number, Shenyang, 110034, China

    Yan Li  (李妍) & Xue-yuan Chen  (陈雪原)

  2. School of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Zhi-zhong Mao  (毛志忠) & Ping Yuan  (袁平)

Authors
  1. Yan Li  (李妍)
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  2. Xue-yuan Chen  (陈雪原)
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  3. Zhi-zhong Mao  (毛志忠)
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  4. Ping Yuan  (袁平)
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Corresponding author

Correspondence to Yan Li  (李妍).

Additional information

Foundation item: Project(61074074) supported by the National Natural Science Foundation, China; Project(KT2012C01J0401) supported by the Group Innovative Fund, China

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Li, Y., Chen, Xy., Mao, Zz. et al. An improved constrained model predictive control approach for Hammerstein-Wiener nonlinear systems. J. Cent. South Univ. 21, 926–932 (2014). https://doi.org/10.1007/s11771-014-2020-6

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  • DOI: https://doi.org/10.1007/s11771-014-2020-6

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