TOWARD A GEOMETRIC-THEORY IN THE TIME-MINIMAL CONTROL OF CHEMICAL BATCH REACTORS

被引：18

作者：

BONNARD, B ^{[1
]}

DEMORANT, J ^{[1
]}

机构：

[1] SHELL RECH SA,F-76530 GRAND COURONNE,FRANCE

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 05期

关键词：

TIME-OPTIMAL CONTROL; OPTIMAL SYNTHESIS; CHEMICAL SYSTEMS;

D O I：

10.1137/S0363012992241338

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article we outline a geometric theory for the time-minimal control of chemical batch reactors by analyzing the equations from Pontryagin's maximum principle applied to the optimal control problem. This theory is used for computing the optimal feedback law for a batch reactor in which three species X, Y, Z are reacting according to the scheme X --> Y --> Z and every reaction in the sequence obeys first-order kinetics. The control variable is the derivative of the temperature in the reactor, and the terminal condition is a specified ratio of concentrations of species X and Y.

引用

页码：1279 / 1311

页数：33

共 32 条

[1] FEEDBACK EQUIVALENCE FOR NONLINEAR-SYSTEMS AND THE TIME OPTIMAL-CONTROL PROBLEM [J].