Robust Economic MPC of Constrained Nonlinear Systems With Bounded Disturbances

被引：0

作者：

He D.-F. ^{[1
]}

Han P. ^{[1
]}

Wang Q.-S. ^{[1
]}

机构：

[1] College of Information Engineering, Zhejiang University of Technology, Hangzhou

来源：

Zidonghua Xuebao/Acta Automatica Sinica | 2022年 / 48卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Differential game; Economic optimization; Input-to-state stability (ISS); Model predictive control (MPC); Nonlinear systems;

D O I：

10.16383/j.aas.c190879

中图分类号：

学科分类号：

摘要：

This paper proposes a novel robust economic model predictive control (EMPC) scheme of constrained nonlinear systems with unknown but bounded disturbances, with guaranteed input-to-state stability (ISS) of the closed-loop system with respect to the disturbance. Based on the principle of differential game, economic objective functions and robust stability objective functions on economically optimal equilibrium points are optimized simultaneously, which are two conflicting control goals. The optimal value function of the robust objective is used to design an implicit contractive constraint of the EMPC optimization, which guarantees ISS of the closed-loop system at the equilibrium point with respect to the disturbance. Some sufficient conditions for recursive feasibility and ISS with respect to the disturbance are presented. Finally, an example of a continuously stirred tank reactor is utilized to illustrate the effectiveness of the proposed scheme. Copyright ©2019 Acta Automatica Sinica. All rights reserved.

引用

页码：572 / 581

页数：9

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