Economic optimization and predictive control for nonlinear systems using Lyapunov based nonlinear cost function design

被引:4
|
作者
Xavier, Joanofarc [1 ]
Patnaik, S. K. [1 ]
Panda, Rames C. [2 ]
机构
[1] Anna Univ, Coll Engn, Dept EEE, Chennai 600025, India
[2] CSIR Cent Leather Res Inst, Chief Scientist & Fac, Dept Chem Engn, Chennai 600020, India
关键词
Optimization; EMPC; Lyapunov stability; Nonlinear economic stage cost; Rotated stage cost; van de Vusse reactor; CSTR; CONTROL STRATEGY; MODEL; NMPC; MPC; BIOPROCESS;
D O I
10.1016/j.ces.2023.118530
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Optimal control of physical processes depends on the formulation of objective functions and contempla-tion of appropriate predictive control. In this article, we propose a new framework, to blend the concepts of the Lyapunov-based economic model predictive control (Ly-EMPC) scheme with the novel cost-efficient profit function design. Furthermore, Lyapunov's stability criteria is employed to verify the exis-tence of duality and optimality for the designed economic stage costs. This method differs from the exist-ing EMPC techniques by implementing Lagrange multipliers in the rotated cost function as a measure of stability. The closed-loop performance using the regularized Ly-EMPC is validated against a standard tracking objective-based nonlinear MPC for three benchmark examples through an econometrics gauge factor. Interestingly, in contrast to tracking NMPC, the proposed Ly-EMPC scheme excels in economic per-formance, while the formation of nonlinear economic stage cost is conceptually simpler, novel, and prac-tically profitable. (c) 2023 Elsevier Ltd. All rights reserved.
引用
收藏
页数:19
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