OPTIMAL CONTROL OF LINEAR DELAY SYSTEMS VIA COMBINED PIECEWISE AND CONTINUOUS BASIS FUNCTIONS

被引：0
|
作者：
Razzaghi, Mohsen [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
2008 WORLD AUTOMATION CONGRESS PROCEEDINGS, VOLS 1-3 | 2008年
关键词：
Optimal control; Orthogonal functions; hybrid functions; delay systems; block-pulse functions; Cheybyshev polynomials;
D O I：
暂无
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 method for finding the optimal control of a linear time varying delay system with quadratic performance index is discussed. The properties of the hybrid functions which consists of block-pulse functions plus Chebyshev polynomials are presented. The operational matrices of integration, delay and product are then utilized to reduce the solution of optimal control to the solution of algebraic equations. An illustrative example is included to demonstrate the validity and applicability of the technique.
引用
收藏
页码：495 / 500
页数：6
相关论文
共 50 条
  • [1] Optimal control of linear multi-delay systems with piecewise constant delays
    Marzban, Hamid Reza
    Hoseini, Sayyed Mohammad
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2018, 35 (01) : 183 - 212
  • [2] Optimal control of a class of non-linear time-delay systems via hybrid functions
    Dadkhah, Mahmood
    Farahi, Mohammad Hadi
    Heydari, Aghileh
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (01) : 255 - 270
  • [3] Optimal control of linear fractional-order delay systems with a piecewise constant order based on a generalized fractional Chebyshev basis
    Marzban, H. R.
    Korooyeh, S. Safdariyan
    JOURNAL OF VIBRATION AND CONTROL, 2023, 29 (17-18) : 4257 - 4274
  • [4] Optimal control of singular systems via orthogonal functions
    Bosukonda M. Mohan
    Sanjeeb Kumar Kar
    International Journal of Control, Automation and Systems, 2011, 9 : 145 - 150
  • [5] Optimal Control of Singular Systems via Orthogonal Functions
    Mohan, Bosukonda M.
    Kar, Sanjeeb Kumar
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (01) : 145 - 150
  • [6] Optimal control problem for a class of bilinear systems via block pulse functions
    Balatif, Omar
    Rachik, Mostafa
    Labriji, El Houssine
    Rachik, Zineb
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2017, 34 (03) : 973 - 986
  • [7] Optimal control of continuous-time linear systems with a time-varying, random delay
    Kolmanovsky, IV
    Maizenberg, TL
    SYSTEMS & CONTROL LETTERS, 2001, 44 (02) : 119 - 126
  • [8] Optimal Control of Delay Systems by Using a Hybrid Functions Approximation
    Haddadi, N.
    Ordokhani, Y.
    Razzaghi, M.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 153 (02) : 338 - 356
  • [9] Numerical treatment of non-linear optimal control problems involving piecewise constant delay
    Marzban, Hamid Reza
    Hoseini, Sayyed Mohammad
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (04) : 1103 - 1134
  • [10] Optimal control for linear systems with time delay in control input
    Basin, M
    Rodriguez-Gonzalez, J
    Martinez-Zuniga, R
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2004, 341 (03): : 267 - 278
12345