TY - EJOUR
AU - Hajmohammadi, Rahman
AU - Vali, Mohammad Ali
AU - Samavat, Mahmoud
PY - 2024
DA - February
TI - Optimal Control of Nonlinear Systems Using the Shifted Legendre Polynomials
T2 - Majlesi Journal of Electrical Engineering
VL - 8
L1 - https://oiccpress.com/Majlesi-Journal-of-Electrical-Engineering/article/optimal-control-of-nonlinear-systems-using-the-shifted-legendre-polynomials/
N2 - A numerical technique based on Legendre Polynomials for finding optimal control of nonlinear systems with quadratic performance index is presented. An operational matrix of integration and product matrix are introduced and are used to reduce the nonlinear differential equations to the solution of nonlinear algebraic equations. The optimal solution of two classes of first and second order nonlinear systems is considered. In the case of second-order nonlinear systems, a new approach is introduced to find the optimal solution. In both cases, numerical examples are given and compared with the Taylor polynomial to confirm the accuracy of the proposed method.
IS - 2
PB - OICC Press
KW - Optimal Control, Non-linear systems, legendre polynomials, Numerical Methods. 
EN -