This article is cited in 1 paper

Analysis and synthesis of control systems

Optimal motion control of the system modeled by double integrator of fractional order

E. A. Postnova

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: The problem is investigated of optimal control of a system, described with the model of fractional-order double integrator, in which the initial and final conditions depend on the appropriate time-point selection. Several cases are considered, physically similar to the system transfer from a state of the rest to a state of the uniform linear motion, to a uniformly accelerated and to a periodic motion, and from a uniform to a uniformly accelerated motion. The dependencies are analyzed of the control norm from the control time and from the fractional differentiation index value.

Keywords: Caputo fractional derivative, double integrator, problem of moments, optimal control.

UDC: 517.977+519.7