自动化学报2016，Vol.42Issue(11)：1680-1690,11.DOI:10.16383/j.aas.2016.c150234
约束非线性系统稳定经济模型预测控制
Stabilizing Economic Model Predictive Control of Constrained Nonlinear Systems
摘要
Abstract
This paper proposes a novelty economic model predictive control (EMPC) scheme with guaranteed stability for constrained nonlinear systems. Some auxiliary positive-definite functions at economy optimal equilibrium points are introduced for economic performance functions that are generally non-convex and non-positive-definite. The optimal value function of the auxiliary function is used to define an adjustable stability constraint which is imposed on the original EMPC optimization problem. By the triplet of terminal constrained sets, terminal penalty functions and local controllers, it is proved that the closed-loop system is asymptotically stable at the economically optimal equilibrium point and has an asymptotic average performance. Moreover, the proposed EMPC scheme is extended to optimization control of multiple economic performance functions, together with the concept of multi-objective utopia points. Then a stabilizing multi-ob jective EMPC scheme is presented. Finally, the effectiveness of the obtained results is illustrated by a simulation example of a continuously stirred tank reactor.关键词
模型预测控制/非线性系统/经济优化/稳定性/多目标控制Key words
Model predictive control (MPC)/nonlinear systems/economic optimization/stability/multi-objective control引用本文复制引用
何德峰..约束非线性系统稳定经济模型预测控制[J].自动化学报,2016,42(11):1680-1690,11.基金项目
国家自然科学基金(61374111),浙江省公益技术应用研究计划项目(2015C31057)资助Supported by National Natural Science Foundation of China (61374111), Public Welfare Technology Application Research Project of Zhejiang Province (2015C31057) （61374111）
