约束非线性系统输入到状态稳定经济型模型预测控制  

Input-to-state stabilizing economic model predictive control of constrained nonlinear systems

作　　者：王青松 何德峰[1] 韩平 WANG Qing-song;HE De-feng;HAN Ping(College of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,China)

机构地区：[1]浙江工业大学信息工程学院,杭州310023

出　　处：《控制与决策》2022年第5期1137-1144,共8页Control and Decision

基　　金：国家自然科学基金项目(61773345);浙江省高校基本科研业务费项目(RF-C2020003)。

摘　　要：考虑约束非线性系统经济型最优控制问题,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(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(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所提出策略的有效性.Considering the economically optimal control problem of constrained nonlinear systems,this paper 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 the control of a nonlinear continuously stirred tank reactor are used to verify the effectiveness of the proposed scheme.

关 键 词：模型预测控制 非线性系统 经济优化 约束控制 输入到状态稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]