Dynamic optimization using adaptive control vector parameterization

被引：191
作者：
Schlegel, M [1 ]
Stockmann, K [1 ]
Binder, T [1 ]
Marquardt, W [1 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl Prozesstech, D-52056 Aachen, Germany
来源：
COMPUTERS & CHEMICAL ENGINEERING | 2005年 / 29卷 / 08期
关键词：
dynamic optimization; sequential approach; adaptive mesh refinement; wavelets; state path constraints;
D O I：
10.1016/j.compchemeng.2005.02.036
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we present a method for the optimization of dynamic systems using problem-adapted discretizations. The method is based on the direct sequential or single-shooting approach, where the optimization problem is converted into a nonlinear programming problem by parameterization of the control profiles. A fully adaptive, problem-dependent parameterization is generated by repetitive solution of increasingly refined finite-dimensional optimization problems. In each step of the proposed algorithm, the adaptation is based on a wavelet analysis of the solution profiles obtained in the previous step. The method is applied to several case study problems to demonstrate that the adaptive parameterization is more efficient and robust compared to a uniform parameterization of comparable accuracy. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1731 / 1751
页数：21
相关论文
共 37 条
  • [1] Dynamic optimization of chemical and biochemical processes using restricted second-order information
    Balsa-Canto, E
    Banga, JR
    Alonso, AA
    Vassiliadis, VS
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 2001, 25 (4-6) : 539 - 546
  • [2] Betts JT, 1998, OPTIM CONTR APPL MET, V19, P1, DOI 10.1002/(SICI)1099-1514(199801/02)19:1<1::AID-OCA616>3.0.CO
  • [3] 2-Q
  • [4] Iterative algorithms for multiscale state estimation, part 1: Concepts
    Binder, T
    Blank, L
    Dahmen, W
    Marquardt, W
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 111 (03) : 501 - 527
  • [5] Dynamic optimization using a wavelet based adaptive control vector parameterization strategy
    Binder, T
    Cruse, A
    Villar, CAC
    Marquardt, W
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 2000, 24 (2-7) : 1201 - 1207
  • [6] BINDER T, 2002, ADAPTIVE MULTISCALE
  • [7] BOCK H, 1984, P 9 IFAC WORLD C BUD
  • [8] Bryson A. E., 1975, APPL OPTIMAL CONTROL
  • [9] SENSITIVITY ANALYSIS OF INITIAL-VALUE PROBLEMS WITH MIXED ODES AND ALGEBRAIC EQUATIONS
    CARACOTSIOS, M
    STEWART, WE
    [J]. COMPUTERS & CHEMICAL ENGINEERING, 1985, 9 (04) : 359 - 365
  • [10] ON THE OPTIMIZATION OF DIFFERENTIAL-ALGEBRAIC PROCESS SYSTEMS
    CUTHRELL, JE
    BIEGLER, LT
    [J]. AICHE JOURNAL, 1987, 33 (08) : 1257 - 1270
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