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Robust Model Predictive Control with Almost Zero Online Computation

Author

Listed:
  • Yan Yan

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

  • Longge Zhang

    (Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China)

Abstract

This paper provides a strategy for the problem of robust model predictive control of constrained, discrete-time systems with state and output disturbances. Using the linear matrix inequality (LMI) method, the nested geometric proportion asymptotically stable ellipsoid (GPASE) strategy is designed off-line, and then the designed shrinking ellipsoids strategy assures the system converges on the equivalent with an exponential convergence velocity. The biggest advantage of this method is the online computation is almost reduced to zero, which makes it possible to apply the designed control scheme not only to plants with slowly varying parameters, but also to fast ones. Finally, a simulation example shows the validity of the proposed technique.

Suggested Citation

  • Yan Yan & Longge Zhang, 2021. "Robust Model Predictive Control with Almost Zero Online Computation," Mathematics, MDPI, vol. 9(3), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:3:p:242-:d:487097
    as

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    References listed on IDEAS

    as
    1. Longge Zhang & Xiangjie Liu & Xiaobing Kong, 2012. "State Estimators for Uncertain Linear Systems with Different Disturbance/Noise Using Quadratic Boundedness," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, June.
    2. Zhang Longge & Yan Yan, 2017. "Robust shrinking ellipsoid model predictive control for linear parameter varying system," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-13, June.
    3. Abdelbaky, Mohamed Abdelkarim & Liu, Xiangjie & Jiang, Di, 2020. "Design and implementation of partial offline fuzzy model-predictive pitch controller for large-scale wind-turbines," Renewable Energy, Elsevier, vol. 145(C), pages 981-996.
    4. Longge Zhang, 2013. "Automatic Offline Formulation of Robust Model Predictive Control Based on Linear Matrix Inequalities Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    Full references (including those not matched with items on IDEAS)

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