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Constrained nonlinear MPC for accelerated tracking piece-wise references and its applications to thermal systems
DefengHe1,QingsongWang1,PingHan1,HaipingDu2
0
(1 Zhejiang University of Technology;2 University of Wollongong)
摘要:
In this paper, we propose a model predictive control (MPC) strategy for accelerated offset-free tracking piece-wise constant reference signals of nonlinear systems subject to state and control constraints. Some special contractive constraints on tracking errors and terminal constraints are embedded into the tracking nonlinear MPC formulation. Then, recursive feasibility and closed-loop convergence of the tracking MPC are guaranteed in the presence of piece-wise references and constraints by deriving some sufficient conditions. Moreover, the local optimality of the tracking MPC is achieved for unreachable output reference signals. By comparing to traditional tracking MPC, the simulation experiment of a thermal system is used to demonstrate the acceleration ability and the effectiveness of the tracking MPC scheme proposed here.
关键词:  Model predictive control · Nonlinear systems · Constrained control · Tracking control · Thermal systems
DOI:https://doi.org/10.1007/s11768-022-00078-y
基金项目:This work was supported by the National Natural Science Foundation of China (61773345) and the Zhejiang Provincial Major Projects Foundation of China (2020C03056).
Constrained nonlinear MPC for accelerated tracking piece-wise references and its applications to thermal systems
Defeng He1,Qingsong Wang1,Ping Han1,Haiping Du2
(1 Zhejiang University of Technology;2 University of Wollongong)
Abstract:
In this paper, we propose a model predictive control (MPC) strategy for accelerated offset-free tracking piece-wise constant reference signals of nonlinear systems subject to state and control constraints. Some special contractive constraints on tracking errors and terminal constraints are embedded into the tracking nonlinear MPC formulation. Then, recursive feasibility and closed-loop convergence of the tracking MPC are guaranteed in the presence of piece-wise references and constraints by deriving some sufficient conditions. Moreover, the local optimality of the tracking MPC is achieved for unreachable output reference signals. By comparing to traditional tracking MPC, the simulation experiment of a thermal system is used to demonstrate the acceleration ability and the effectiveness of the tracking MPC scheme proposed here.
Key words:  Model predictive control · Nonlinear systems · Constrained control · Tracking control · Thermal systems