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

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...

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Bibliographic Details
Published in国际自动化与计算杂志 Vol. 10; no. 2; pp. 167 - 172
Main Author Meng Zhao Bao-Cang Ding
Format Journal Article
LanguageChinese
Published 2013
Subjects
MPC算法
优化问题
收缩
模型预测控制
滑动面
滑模
连续搅拌釜式反应器
非线性离散时间系统
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ISSN1476-8186
1751-8520

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Summary: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.
Bibliography:11-5350/TP
Model predictive control （MPC）； sliding mode； contractive constraint； discrete-time systems； nonlinear systems
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.
ISSN:1476-8186
1751-8520