Distributed model predictive control with asynchronous controller evaluations
Su Liu
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorJing Zhang
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2V4
Search for more papers by this authorCorresponding Author
Jinfeng Liu
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2V4
Author to whom correspondence may be addressed.
E-mail address: [email protected]
Search for more papers by this authorYiping Feng
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorGang Rong
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorSu Liu
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorJing Zhang
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2V4
Search for more papers by this authorCorresponding Author
Jinfeng Liu
Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2V4
Author to whom correspondence may be addressed.
E-mail address: [email protected]
Search for more papers by this authorYiping Feng
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorGang Rong
State Key Laboratory of Industrial Control Technology, Institute of Cyber-System and Control, Zhejiang University, Hangzhou, 310027 China
Search for more papers by this authorAbstract
In this work, we focus on the reduction of network communication burden of cooperative distributed model predictive control (DMPC) of a class of nonlinear processes. Specifically, we propose a cooperative DMPC design in which the evaluations of the distributed controllers are triggered by the difference between the subsystem state measurements and the estimates of them. The individual model predictive controllers in this DMPC are designed via Lyapunov techniques. Under the assumption that state measurements of the subsystems are available, sufficient conditions for the closed-loop stability are derived. The proposed DMPC is applied to a reactor–separator chemical process example and is compared with a cooperative DMPC in which distributed controllers are evaluated every sampling time extensively. The results demonstrate the applicability and effectiveness of the proposed approach.
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