Linear multi-model time-optimization

被引：20
|
作者：
Boltyanski, V
Poznyak, A
机构：
[1] CINVESTAV, Control Automat, Mexico City 07300, DF, Mexico
[2] CIMAT, Guanajuato 36000, Mexico
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2002年 / 23卷 / 03期
关键词：
robust time-optimal control; minimax control; game-theoretic control; robust maximum principle; linear multi-model time-optimization;
D O I：
10.1002/oca.708
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A linear optimization problem with unknown parameters from a given finite set is tackled. The problem is to find the robust time-optimal control transferring a given initial point to a convex terminal compact set M for all unknown parameters in a shortest time. The robust maximum principle for this minimax problem is formulated. It gives a necessary and sufficient condition of robust optimality. Under natural conditions, the existence and uniqueness of robust optimal controls are proven when the resource set is a convex polytope. Several illustrating examples, including a bang-bang robust optimal control, are considered in detail. Copyright (C) 2002 John Wiley Sons, Ltd.
引用
收藏
页码：141 / 161
页数：21
相关论文
共 50 条
  • [41] Real-time multi-model decadal climate predictions
    Smith, Doug M.
    Scaife, Adam A.
    Boer, George J.
    Caian, Mihaela
    Doblas-Reyes, Francisco J.
    Guemas, Virginie
    Hawkins, Ed
    Hazeleger, Wilco
    Hermanson, Leon
    Ho, Chun Kit
    Ishii, Masayoshi
    Kharin, Viatcheslav
    Kimoto, Masahide
    Kirtman, Ben
    Lean, Judith
    Matei, Daniela
    Merryfield, William J.
    Mueller, Wolfgang A.
    Pohlmann, Holger
    Rosati, Anthony
    Wouters, Bert
    Wyser, Klaus
    CLIMATE DYNAMICS, 2013, 41 (11-12) : 2875 - 2888
  • [42] Damage identification by multi-model updating in the modal and in the time domain
    Link, Michael
    Weiland, Matthias
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2009, 23 (06) : 1734 - 1746
  • [43] Distributed recursive linear fusion predictor for multi-model multi-sensor systems with linear correlated noises
    Wei Yao
    Sun Shuli
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 3185 - 3189
  • [44] Plan-Time Multi-Model Switching for Motion Planning
    Styler, Breelyn Kane
    Simmons, Reid
    TWENTY-SEVENTH INTERNATIONAL CONFERENCE ON AUTOMATED PLANNING AND SCHEDULING, 2017, : 558 - 566
  • [45] Real-time multi-model decadal climate predictions
    Doug M. Smith
    Adam A. Scaife
    George J. Boer
    Mihaela Caian
    Francisco J. Doblas-Reyes
    Virginie Guemas
    Ed Hawkins
    Wilco Hazeleger
    Leon Hermanson
    Chun Kit Ho
    Masayoshi Ishii
    Viatcheslav Kharin
    Masahide Kimoto
    Ben Kirtman
    Judith Lean
    Daniela Matei
    William J. Merryfield
    Wolfgang A. Müller
    Holger Pohlmann
    Anthony Rosati
    Bert Wouters
    Klaus Wyser
    Climate Dynamics, 2013, 41 : 2875 - 2888
  • [46] Multi-Objective Optimization of Time-of-Use Price for Tertiary Industry Based on Generalized Seasonal Multi-Model Structure
    Hu, Yang
    Li, Yunzhi
    Chen, Longjin
    IEEE ACCESS, 2019, 7 : 89234 - 89244
  • [47] Image segmentation algorithm based on multi-model feature fusion optimization
    Sun, Jingfeng (sunjf2000@163.com), 1600, Universidad Central de Venezuela (55):
  • [48] A multi-model evaluation of Enhanced Tunicate Swarm Optimization for parameter identification
    Singla, Manish Kumar
    Gupta, Jyoti
    Kumar, Ramesh
    Safaraliev, Murodbek
    Alsharif, Mohammed H.
    Aly, Ayman A.
    Kim, Mun-Kyeom
    ENERGY REPORTS, 2024, 12 : 2049 - 2061
  • [49] Coordinated optimization control of morphing aircraft based on multi-model MPC
    Xu W.
    Li Y.
    Pei B.
    Yu Z.
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2023, 45 (09): : 2902 - 2911
  • [50] Auxiliary signal design for rapid multi-model identification using optimization
    Campbell, SL
    Horton, KG
    Nikoukhah, R
    AUTOMATICA, 2002, 38 (08) : 1313 - 1325
12345