DISCRETE LINEAR QUADRATIC OPTIMIZATION PROBLEM WITH CONSTRAINTS IN THE FORM OF EQUALITIES ON CONTROL ACTION.

Autor: ALIEV, F. A., HAJIYEVA, N. S.
Předmět:
Zdroj: TWMS Journal of Applied & Engineering Mathematics; 2024, Vol. 14 Issue 4, p1466-1472, 7p
Abstrakt: In the paper the discrete linear quadratic optimization problem, where, over a certain part of the time interval, some coordinates of the control actions are known constants. These equalities in the form of a penalty function with a certain weight are added to the quadratic functional and the corresponding discrete Euler-Lagrange equation is constructed, the solution of which is constructed using a discrete fundamental matrix. Then, an explicit expression of control actions over the entire time interval is given. The results are illustrated using the example of the vertical motion of a flying vehicle. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index