Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes

doi:10.1016/j.cjche.2015.07.005

Chinese Journal of Chemical Engineering ›› 2015, Vol. 23 ›› Issue (10): 1662-1669.DOI: 10.1016/j.cjche.2015.07.005

• 过程系统工程与过程安全 • 上一篇下一篇

Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes

Defeng He, Shiming Yu, Li Yu

College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

收稿日期:2014-08-03 修回日期:2015-06-27 出版日期:2015-10-28 发布日期:2015-11-27
通讯作者: Defeng He
基金资助:
Supported by the National Natural Science Foundation of China (61374111), the Natural Science Foundation of Zhejiang Province (LY13F030006) and Agricultural Key Program of Ningbo City (2014C10068).

Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes

Defeng He, Shiming Yu, Li Yu

College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

Received:2014-08-03 Revised:2015-06-27 Online:2015-10-28 Published:2015-11-27
Supported by:
Supported by the National Natural Science Foundation of China (61374111), the Natural Science Foundation of Zhejiang Province (LY13F030006) and Agricultural Key Program of Ningbo City (2014C10068).

摘要/Abstract

摘要： This paper proposes a switching multi-objective model predictive control (MOMPC) algorithm for constrained nonlinear continuous-time process systems. Different cost functions to be minimized inMPC are switched to satisfy different performance criteria imposed at different sampling times. In order to ensure recursive feasibility of the switching MOMPC and stability of the resulted closed-loop system, the dual-mode control method is used to design the switching MOMPC controller. In this method, a local control law with some free-parameters is constructed using the control Lyapunov function technique to enlarge the terminal state set of MOMPC. The correction termis computed if the states are out of the terminal set and the free-parameters of the local control laware computed if the states are in the terminal set. The recursive feasibility of the MOMPC and stability of the resulted closed-loop system are established in the presence of constraints and arbitrary switches between cost functions. Finally, implementation of the switching MOMPC controller is demonstrated with a chemical process example for the continuous stirred tank reactor.

关键词: Nonlinear system, Model predictive control, Multi-objective control, Switched control, Continuous stirred tank reactor

Abstract: This paper proposes a switching multi-objective model predictive control (MOMPC) algorithm for constrained nonlinear continuous-time process systems. Different cost functions to be minimized inMPC are switched to satisfy different performance criteria imposed at different sampling times. In order to ensure recursive feasibility of the switching MOMPC and stability of the resulted closed-loop system, the dual-mode control method is used to design the switching MOMPC controller. In this method, a local control law with some free-parameters is constructed using the control Lyapunov function technique to enlarge the terminal state set of MOMPC. The correction termis computed if the states are out of the terminal set and the free-parameters of the local control laware computed if the states are in the terminal set. The recursive feasibility of the MOMPC and stability of the resulted closed-loop system are established in the presence of constraints and arbitrary switches between cost functions. Finally, implementation of the switching MOMPC controller is demonstrated with a chemical process example for the continuous stirred tank reactor.

Key words: Nonlinear system, Model predictive control, Multi-objective control, Switched control, Continuous stirred tank reactor

Defeng He, Shiming Yu, Li Yu. Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes[J]. Chinese Journal of Chemical Engineering, 2015, 23(10): 1662-1669.

Defeng He, Shiming Yu, Li Yu. Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes[J]. Chin.J.Chem.Eng., 2015, 23(10): 1662-1669.

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Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes

Multi-objective nonlinear model predictive control through switching cost functions and its applications to chemical processes

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