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Robust Contractive Economic MPC for Nonlinear Systems with Additive Disturbance

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  • Control Theory and Applications
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Abstract

This article presents two novel robust contractive economic model predictive control (EMPC) algorithms with guaranteed input-to-state stability for nonlinear disturbed systems. Specifically, the first one adopts the non-quadratic economic objective function and implements the control sequence in block fashion, i.e., re-optimizing after all N control laws being applied. The second one takes receding horizon optimization strategy and only apply the first element in control sequence at each step. By appropriately chosen the contraction rate ρ in contractive constraint, the closed-loop system under each control algorithm is proven to be input-to-state stable. In order to illustrate the efficiency of proposed algorithms, a disturbed CSTR model is utilized.

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Author information

Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Hainan University, 58 Renmin Avenue, Haikou, 570228, China

    Meng Zhao & Can-Chen Jiang

  2. College of Automation, Chongqing University, 174 Shazheng Street, Chongqing, 400044, China

    Ming-Hong She

Authors
  1. Meng Zhao
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  2. Can-Chen Jiang
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  3. Ming-Hong She
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Corresponding author

Correspondence to Meng Zhao.

Additional information

Recommended by Associate Editor M. Chadli under the direction of Editor Jessie (Ju H.) Park. This work was supported by the Natural Science Foundation of Hainan Province of China (Grant No. 20166213) and the Scientific Research Foundation of Hainan Univerity (Grant No. kyqd1575).

Meng Zhao received the Ph.D. degree in control theory and control engineering from Chongqing University, China in 2014. He is currently a faculty member at college of mechanical and electrical engineering at Hainan University, China. His research interests include nonlinear control and predictive control.

Can-Chen Jiang received the B.S. degree in Agricultural Mechanization Engineering from Hainan University in 2017. His research interests include nonlinear control and predictive control.

Ming-Hong She received the bachelor degree from Southwestern University, China in 2007, and the B.S. degree in computer science and technology from Chongqing University, China in 2010. His research interests include system identification and predictive control.

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Zhao, M., Jiang, CC. & She, MH. Robust Contractive Economic MPC for Nonlinear Systems with Additive Disturbance. Int. J. Control Autom. Syst. 16, 2253–2263 (2018). https://doi.org/10.1007/s12555-017-0669-y

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  • DOI: https://doi.org/10.1007/s12555-017-0669-y

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