An algorithm for constrained nonlinear optimization under uncertainty

被引:50
|
作者
Darlington, J
Pantelides, CC
Rustem, B
Tanyi, BA
机构
[1] Univ London Imperial Coll Sci Technol & Med, Dept Comp, London SW7 2BZ, England
[2] Univ London Imperial Coll Sci Technol & Med, Ctr Proc Syst Engn, London SW7, England
基金
英国工程与自然科学研究理事会;
关键词
uncertainty; robust optimization; risk management; mean-variance analysis; nonlinear programming; sequential quadratic programming; Goldstein-Levitin-Polyak algorithm;
D O I
10.1016/S0005-1098(98)00150-2
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers robust formulations for the constrained control of systems under uncertainty. The underlying model is nonlinear and stochastic. A mean-variance robustness framework is adopted. We consider formulations to ensure feasibility over the entire domain of the uncertain parameters. However, strict Feasibility may not always be possible, and can also be very expensive. We consider two alternative approaches to address feasibility. Flexibility in the operational conditions is provided via a penalty framework. The robust strategies are rested on a dynamic optimization problem arising from a chemical engineering application. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:217 / 228
页数:12
相关论文
共 50 条
  • [41] A penalty derivative-free algorithm for nonlinear constrained optimization
    Lv, Wei
    Sun, Qiang
    Lin, He
    Sui, Ruirui
    OPTIMIZATION LETTERS, 2015, 9 (06) : 1213 - 1229
  • [42] A penalty-interior-point algorithm for nonlinear constrained optimization
    Frank E. Curtis
    Mathematical Programming Computation, 2012, 4 (2) : 181 - 209
  • [43] A NEW TRUST-REGION ALGORITHM FOR NONLINEAR CONSTRAINED OPTIMIZATION
    Niu, Lingfeng
    Yuan, Yaxiang
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 28 (01) : 72 - 86
  • [44] Multi-constrained nonlinear optimization by the differential evolution algorithm
    Lampinen, J
    SOFT COMPUTING AND INDUSTRY: RECENT APPLICATIONS, 2002, : 305 - 318
  • [45] Hybrid social cognitive optimization algorithm for constrained nonlinear programming
    Sun, Jia-Ze
    Geng, Guo-Hua
    Wang, Shu-Yan
    Zhou, Ming-Quan
    Sun, J.-Z. (sunjiaze@xupt.edu.cn), 1600, Beijing University of Posts and Telecommunications (19): : 91 - 99
  • [46] Hybrid social cognitive optimization algorithm for constrained nonlinear programming
    SUN Jiaze GENG Guohua WANG Shuyan ZHOU Mingquan School of Information Science and Technology Northwest University Xi an China School of Computer Science and Technology Xi an University of Posts and Telecommunications Xi an China
    The Journal of China Universities of Posts and Telecommunications, 2012, 19 (03) : 91 - 99
  • [47] A penalty-interior-point algorithm for nonlinear constrained optimization
    Curtis, Frank E.
    MATHEMATICAL PROGRAMMING COMPUTATION, 2012, 4 (02) : 181 - 209
  • [48] A trust-region algorithm for nonlinear inequality constrained optimization
    Tong, XJ
    Zhou, SZ
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 21 (02) : 207 - 220
  • [49] Optimization under uncertainty of parallel nonlinear energy sinks
    Boroson, Ethan
    Missoum, Samy
    Mattei, Pierre-Olivier
    Vergez, Christophe
    JOURNAL OF SOUND AND VIBRATION, 2017, 394 : 451 - 464
  • [50] INEXACT OBJECTIVE FUNCTION EVALUATIONS IN A TRUST-REGION ALGORITHM FOR PDE-CONSTRAINED OPTIMIZATION UNDER UNCERTAINTY
    Kouri, D. P.
    Heinkenschloss, M.
    Ridzal, D.
    Waanders, B. G. Van Bloemen
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 36 (06): : A3011 - A3029