Optimal Feedback in a Linear-Quadratic Optimal Control Problem for a Fractional-Order System

被引：2
|
作者：
Gomoyunov, M. I. [1 ,2 ]
Lukoyanov, N. Yu. [1 ]
机构：
[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, Ekaterinburg 620108, Russia
[2] Udmurt State Univ, Izhevsk 426034, Russia
来源：
DIFFERENTIAL EQUATIONS | 2023年 / 59卷 / 08期
关键词：
INTEGRODIFFERENTIAL CALCULUS;
D O I：
10.1134/S0012266123080104
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a dynamical system described by a linear differential equation with a Caputo fractional derivative, we consider an optimal control problem of minimizing a quadratic terminal-integral performance functional. We propose and justify the construction of optimal feedback (optimal control synthesis) that generates the corresponding optimal control for any initial state of the system.
引用
收藏
页码：1117 / 1129
页数：13
相关论文
共 50 条
  • [21] Revisit of Linear-Quadratic Optimal Control
    M. Pachter
    Journal of Optimization Theory and Applications, 2009, 140 : 301 - 314
  • [22] Revisit of Linear-Quadratic Optimal Control
    Pachter, M.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 140 (02) : 301 - 314
  • [23] About Solution of Discrete Linear-Quadratic Optimal Control Problem
    Troshina, N. Yu
    IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2009, 9 (04): : 52 - 60
  • [24] On Linear-Quadratic Differential Games for Fractional-Order Systems
    Gomoyunov, M. I.
    Lukoyanov, N. Yu.
    DOKLADY MATHEMATICS, 2023, 108 (SUPPL 1) : S122 - S127
  • [25] On Linear-Quadratic Differential Games for Fractional-Order Systems
    M. I. Gomoyunov
    N. Yu. Lukoyanov
    Doklady Mathematics, 2023, 108 : S122 - S127
  • [26] OPTIMAL FEEDBACK CONTROL FOR LINEAR-QUADRATIC SYSTEMS HAVING TIME DELAYS
    SOLIMAN, MA
    RAY, WH
    INTERNATIONAL JOURNAL OF CONTROL, 1972, 15 (04) : 609 - &
  • [27] Fractional-Order Optimal Control of Fractional-Order Linear Vibration Systems with Time Delay
    Balochian, Saeed
    Rajaee, Nahid
    INTERNATIONAL JOURNAL OF SYSTEM DYNAMICS APPLICATIONS, 2018, 7 (03) : 72 - 93
  • [28] Linear-quadratic optimal control with integral quadratic constraints
    Lim, AEB
    Liu, YQ
    Teo, KL
    Moore, JB
    OPTIMAL CONTROL APPLICATIONS & METHODS, 1999, 20 (02): : 79 - 92
  • [29] Linear-Quadratic Optimal Control Problem of Forward-Backward Stochastic System with Delay
    Li, Na
    Wang, Guangchen
    Wu, Zhen
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 1822 - 1827
  • [30] Linear-quadratic optimal control with integral quadratic constraints
    Department of Systems Engineering, Res. Sch. of Info. Sci. and Eng., Australian National University, Canberra, ACT 0200, Australia
    不详
    Optim Control Appl Methods, 2 (79-92):
12345