Optimal control of the delay linear systems with allowance for the terminal state constraints

被引：4
|
作者：
Gabasov, R. [1 ]
Grushevich, O. P. [1 ]
Kirillova, F. M. [2 ]
机构：
[1] Belarusian State Univ, Minsk 220050, BELARUS
[2] Belarussian Natl Acad Sci, Inst Math, Minsk, BELARUS
来源：
AUTOMATION AND REMOTE CONTROL | 2007年 / 68卷 / 12期
关键词：
Algorithms - Constraint theory - Feedback - Mathematical models - Optimal control systems - Real time control;
D O I：
10.1134/S0005117907120016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Consideration was given to the linear problem of optimal control of one type of the delay systems where the delay appears in one equation of the system mathematical model. The terminal states of the system are bounded, the optimal control is realized by the discrete control actions obeying the geometrical constraints. Consideration was given to two types of solutions-program and positional. A dual method of calculation of the optimal programs was presented. Described was an algorithm of the optimal controller generating in real time the current values of the positional solution (optimal feedback). The results obtained were illustrated by the example of control of a system with the fourth-order delay.
引用
收藏
页码：2097 / 2112
页数：16
相关论文
共 50 条
  • [1] Optimal control of the delay linear systems with allowance for the terminal state constraints
    R. Gabasov
    O. P. Grushevich
    F. M. Kirillova
    Automation and Remote Control, 2007, 68 : 2097 - 2112
  • [2] Optimal Control with Terminal State Constraints for Multichannel Input Linear Systems
    Qichao Sun
    Juanjuan Xu
    Huanshui Zhang
    International Journal of Control, Automation and Systems, 2022, 20 : 3456 - 3463
  • [3] Optimal Control with Terminal State Constraints for Multichannel Input Linear Systems
    Sun, Qichao
    Xu, Juanjuan
    Zhang, Huanshui
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2022, 20 (10) : 3456 - 3463
  • [4] ON OPTIMAL CONTROL OF LINEAR HYBRID SYSTEMS WITH TERMINAL CONSTRAINTS
    Gabasova, O. R.
    APPLIED AND COMPUTATIONAL MATHEMATICS, 2014, 13 (02) : 194 - 205
  • [5] Min-max optimal control of linear systems with uncertainty and terminal state constraints
    Wu, Changzhi
    Teo, Kok Lay
    Wu, Soonyi
    AUTOMATICA, 2013, 49 (06) : 1809 - 1815
  • [6] Optimal control for linear systems with state equality constraints
    Ko, Sangho
    Bitmead, Robert R.
    AUTOMATICA, 2007, 43 (09) : 1573 - 1582
  • [7] Stochastic linear quadratic optimal control problem with terminal state constraints
    Wang, Hongxia
    Hu, Yuxi
    Liu, Yihang
    Xu, Zhihao
    Song, Lianfeng
    ASIAN JOURNAL OF CONTROL, 2024, 26 (03) : 1564 - 1573
  • [8] Optimal control of linear, stochastic systems with state and input constraints
    Batina, I
    Stoorvogel, AA
    Weiland, S
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 1564 - 1569
  • [9] Optimal and robust control for linear state-delay systems
    Basin, Michael
    Rodriguez-Gonzalez, Jesus
    Fridman, Leonid
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2007, 344 (06): : 830 - 845
  • [10] Optimal control of linear systems with delay
    N. V. Balashevich
    R. Gabasov
    F. M. Kirillova
    Doklady Mathematics, 2006, 74 : 780 - 785
12345