持续扰动下多耦合非线性系统分布式经济模型预测控制  

Distributed EMPC of Multi-coupled Nonlinear Systems With Persistent Disturbances

作　　者：王定超 何德峰[1] 谢永芳[2] WANG Ding-Chao;HE De-Feng;XIE Yong-Fang(College of Information Engineering,Zhejiang University of Technology,Hangzhou 310023;School of Automation,Central South University,Changsha 410083)

机构地区：[1]浙江工业大学信息工程学院,杭州310023 [2]中南大学自动化学院,长沙410083

出　　处：《自动化学报》2025年第3期692-704,共13页Acta Automatica Sinica

基　　金：国家自然科学基金(62173303);中央引导地方科技发展资金项目(2023ZY1045)资助。

摘　　要：针对持续扰动下的分布式状态耦合非线性系统,提出一种新的多耦合分布式经济模型预测控制(Economic model predictive control,EMPC)策略.由于耦合非线性系统的经济性能函数的非凸性和非正定性,首先引入关于经济最优平衡点的正定辅助函数和相应的辅助优化问题.接着,利用辅助函数的最优值函数构造原始分布式EMPC的一类隐式收缩约束.然后,建立状态耦合分布式EMPC的递推可行性和闭环系统关于最优经济平衡点的输入到状态稳定性(Input-to-state stability,ISS).最后,以耦合的四个连续搅拌釜反应器(Continuous stirred tank reactors,CSTRs)为例,验证本文所提策略的有效性.This paper presents a novel multi-coupled distributed economic model predictive control(EMPC)strategy for distributed state-coupled nonlinear systems with persistent disturbances.Due to the non-convex and non-positive-definite of the economic performance functions for coupled nonlinear systems,a positive definite auxiliary function related to the optimal economic equilibrium point and the corresponding auxiliary optimization problem are introduced.Then,the optimal value function of the auxiliary function is used to formulate a class of implicit contractive constraints for the original distributed EMPC.Subsequently,the recursive feasibility of the statecoupled distributed EMPC and the input-to-state stability(ISS)of the closed-loop system with respect to the optimal economic equilibrium point are established.Finally,the effectiveness of the proposed strategy is demonstrated by a simulation example of four coupled continuous stirred tank reactors(CSTRs).

关 键 词：模型预测控制 分布式控制 非线性系统 经济优化 耦合系统 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]