Real-time reconstruction of external impact on fractional order system under measuring a part of coordinates

Abstract

Abstract For a system of nonlinear fractional differential equations, the problem of reconstructing an unknown external impact is considered. It is complicated by the fact that only a part of system’s parameters is available for measuring. An algorithm for solving this problem is proposed, which is resistant to informational noises and computational errors, and is based on regularization methods and constructions of guaranteed control theory. A numerical example illustrating the operation of the algorithm is considered.