A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems

Meng Zhao Bao-Cang Ding

Meng Zhao, Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(2): 167-172. doi: 10.1007/s11633-013-0709-x
引用本文: Meng Zhao, Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(2): 167-172. doi: 10.1007/s11633-013-0709-x
Meng Zhao and Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 167-172, 2013 doi:  10.1007/s11633-013-0709-x
Citation: Meng Zhao and Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 167-172, 2013 doi:  10.1007/s11633-013-0709-x

A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems

doi: 10.1007/s11633-013-0709-x
基金项目: 

This work was supported by Fundamental Research Funds for the Central Universities (Nos. CDJXS10170008 and CDJXS10171101).

A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems

Funds: 

This work was supported by Fundamental Research Funds for the Central Universities (Nos. CDJXS10170008 and CDJXS10171101).

More Information
    Author Bio:

    Meng Zhao received the bachelor de- gree from Henan University of Technol- ogy, China in 2009. He is currently a Ph. D. candidate at College of Automation, Chongqing University, China. His research interests include nonlinear control and model predictive control. E-mail: zhaomeng666@hotmail.com

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出版历程
  • 收稿日期:  2012-08-02
  • 修回日期:  2012-09-25
  • 刊出日期:  2013-04-20

A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems

doi: 10.1007/s11633-013-0709-x
    基金项目:

    This work was supported by Fundamental Research Funds for the Central Universities (Nos. CDJXS10170008 and CDJXS10171101).

    作者简介:

    Meng Zhao received the bachelor de- gree from Henan University of Technol- ogy, China in 2009. He is currently a Ph. D. candidate at College of Automation, Chongqing University, China. His research interests include nonlinear control and model predictive control. E-mail: zhaomeng666@hotmail.com

摘要: This paper investigates a sliding-mode model predictive control (MPC) algorithm with auxiliary contractive sliding vector constraint for constrained nonlinear discrete-time systems. By adding contractive constraint into the optimization problem in regular sliding-mode MPC algorithm, the value of the sliding vector is decreased to zero asymptotically, which means that the system state is driven into a vicinity of sliding surface with a certain width. Then, the system state moves along the sliding surface to the equilibrium point within the vicinity. By applying the proposed algorithm, the stability of the closed-loop system is guaranteed. A numerical example of a continuous stirred tank reactor (CSTR) system is given to verify the feasibility and effectiveness of the proposed method.

English Abstract

Meng Zhao, Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(2): 167-172. doi: 10.1007/s11633-013-0709-x
引用本文: Meng Zhao, Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems[J]. 国际自动化与计算杂志(英)/International Journal of Automation and Computing, 2013, 10(2): 167-172. doi: 10.1007/s11633-013-0709-x
Meng Zhao and Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 167-172, 2013 doi:  10.1007/s11633-013-0709-x
Citation: Meng Zhao and Bao-Cang Ding. A Contractive Sliding-mode MPC Algorithm for Nonlinear Discrete-time Systems. International Journal of Automation and Computing, vol. 10, no. 2, pp. 167-172, 2013 doi:  10.1007/s11633-013-0709-x
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