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

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. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This study focuses on a system of nonlinear fractional differential equations and introduces an algorithm for reconstructing an unknown external impact. The algorithm is resistant to informational noises and computational errors, and is based on regularization methods and constructions of guaranteed control theory. A numerical example is provided to illustrate the operation of the algorithm.