Zhejiang University of Technology
The National Natural Science Foundation of China (61773345)；The Fundamental Research Funds for the ZheJiang Provincial Universities(RF-C2020003)
考虑约束非线性系统经济型最优控制问题, 本文提出一种关于经济性能输入到状态稳定的经济型模型预测控制(Economic model predictive control, EMPC)策略. 通过离线计算系统的最优经济稳态点, 构建关于该稳态点跟踪的稳定最优控制问题. 在此基础上,利用稳定最优控制问题的最优值函数和关于经济性能函数的松弛量构造EMPC优化问题的收缩约束, 再结合不变集原理和输入到状态稳定性(Input-to-state stability, ISS)定理,建立EMPC的递推可行性和闭环系统关于经济性能函数的ISS结果. 最后采用非线性连续搅拌釜控制的仿真比较结果验证本文策略的有效性.
This paper considers the economically optimal control problem of constrained nonlinear systems and proposes an economic model predictive control (EMPC) scheme with guaranteed input-to-state stability (ISS) on economic performance. An optimally economic steady-state point of the system is computed offline and then a stabilizing optimal control problem is formulated to track the steady-state point. Moreover, the optimal value function of the stabilizing optimal control problem and the relaxed index of the economic performance are used to design the contracive constraint of the EMPC optimization problem. Then the invariant-set principle and the ISS theorem are combined to establish recursive feasibility of the EMPC and ISS of the closed-loop system on economic performance. Finally, the simulation comparison results on control of a nonlinear continuously stirred tank reactor are used to verify the effectiveness of the proposed scheme.