Approximate nonlinear model predictive control with in situ adaptive tabulation

被引：17

作者：

Hedengren, John D. ^{[1
]}

Edgar, Thomas F. ^{[2
]}

机构：

[1] PAS Inc, Houston, TX 77062 USA

[2] Univ Texas Austin, Dept Chem Engn, Austin, TX 78712 USA

来源：

COMPUTERS & CHEMICAL ENGINEERING | 2008年 / 32卷 / 4-5期

关键词：

in situ adaptive tabulation; nonlinear model predictive control; computational reduction;

D O I：

10.1016/j.compchemeng.2007.02.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In situ adaptive tabulation (ISAT) is applied to store and retrieve solutions of nonlinear model predictive control (NMPC) problems. ISAT controls approximation error by adaptively building the database of NMPC solutions with piecewise linear local approximations. Unlike initial state or constraint parameterized constrained quadratic programming (QP) solutions, ISAT approximates NMPC solutions within a specified tolerance, thereby easing the dimensionality difficulties of these other techniques. In the limit, as the specified tolerance is reduced to zero and for linear models with quadratic objective functions, ISAT becomes an adaptive version of state parameterized storage and retrieval of mp-QP problems. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：706 / 714

页数：9

共 36 条

[1] A multiparametric programming approach for linear process engineering problems under uncertainty [J].