THE METHOD FOR CONSTRUCTING THE ASYMPTOTIC SOLUTION OF THEPERIODIC OPTIMIZATION PROBLEM FOR DISCRETE SYSTEMS WITH LIQUIDDAMPERS.

Abstract

The problem of constructing control and stabilization systems for oil extraction using arod pump unit is studied with differential equations containing a small parameter in fractionalform. An optimal control problem is formulated for them, and in the first approximation, thestabilization problem with small parameters is solved for the given problem.
Keywords: rod pump unit, asymptotics, discretization, Euler-Lagrange equation, algebraic discreteRiccati equation, control, stability, small parameter, fluid dampers, periodic optimization, fractional