TY - JOUR
ID - 17588
TI - Optimal control of linear delay systems involving piecewise constant delay function using hybrid Chebyshev-block pulse method
JO - Journal of Advanced Mathematical Modeling
JA - JAMM
LA - en
SN - 2251-8088
AU - Hoseini, Sayyed Mohammad
AD - Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran
Y1 - 2022
PY - 2022
VL - 12
IS - 2
SP - 185
EP - 200
KW - optimal control
KW - Delay system
KW - &lrm
KW - piecewise constant delay&lrm
KW - Chebyshev polynomials
KW - hybrid functions
DO - 10.22055/jamm.2022.39845.2005
N2 - In this paper, the optimal control of delay systems with piecewise constant delay function is investigated. Using Chebyshev hybrid functions, an approximate method is proposed to obtain the optimal solution to the control problem of linear delay systems. In order to present an approximate method, integral, product of multiplication and delay operational matrices of the hybrid functions have been introduced and used to solve the problem. The optimal control problem is transformed into an optimization problem with the help of the operational matrices and then solving it, an approximate solution to the original problem is obtained. Efficiency and accuracy of the proposed method are illustrated with two examples of the optimal control problem.
UR - https://jamm.scu.ac.ir/article_17588.html
L1 - https://jamm.scu.ac.ir/article_17588_07b5d5b1de64c2335f96b8f897b42089.pdf
ER -