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Model predictive control synthesis algorithm based on polytopic terminal region for Hammerstein-Wiener nonlinear systems

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Abstract

An improved model predictive control algorithm is proposed for Hammerstein-Wiener nonlinear systems. The proposed synthesis algorithm contains two parts: offline design the polytopic invariant sets, and online solve the min-max optimization problem. The polytopic invariant set is adopted to replace the traditional ellipsoid invariant set. And the parameter-correlation nonlinear control law is designed to replace the traditional linear control law. Consequently, the terminal region is enlarged and the control effect is improved. Simulation and experiment are used to verify the validity of the wind tunnel flow field control algorithm.

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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 Reynolds 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)

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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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 Innovation Fund, China

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Li, Y., Chen, Xy. & Mao, Zz. Model predictive control synthesis algorithm based on polytopic terminal region for Hammerstein-Wiener nonlinear systems. J. Cent. South Univ. 24, 2028–2034 (2017). https://doi.org/10.1007/s11771-017-3612-8

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  • DOI: https://doi.org/10.1007/s11771-017-3612-8

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