Adaptive robust control of fractional-order systems with matched and mismatched disturbances

摘要

This paper proposes an adaptive control method for the robust stabilization of a general class of fractional-order systems, which are subject to matched and mismatched disturbances. The control design is based on a nominal linear-time-invariant system, and the deviation from such a model is considered as the disturbance, which is decoupled as the sum of a matched and a mismatched disturbance. The controller is proposed as the combination of an adaptive robust controller that compensates for the matched disturbance, and a nominal controller that is based on a linear matrix inequality, in order to enforce the Mittag-Leffler stability of the pseudo-state, even in the presence of the mismatched disturbance. Numerical simulations are conducted to show the reliability of the proposed scheme. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.