This article is cited in 6 papers

Analysis and synthesis of control systems

Investigation of optimal control problem for single and double integrators of fractional order using the problem of moments approach

S. S. Postnov

Institute of Control Sciences, Russian Academy of Sciences, Moscow

Abstract: The paper proposes the statement of optimal control problem for two dynamical systems of fractional order: single and double integrators. The problem is reduced to problem of moments. Basic equations and formula obtained which allow to derive the problem solution. Dependencies of control norm and minimal transition time from order of fractional derivative are investigated. Comparative analysis of results for both of considered systems is carried out.

Keywords: optimal control, moment problem, integrator, fractional derivative, fractional integral.

UDC: 517.977+519.7