Tracking control for a class of fractional order uncertain systems with time-delay based on composite nonlinear feedback control

Abstract

In this paper, we dealt with the tracking control problem of a class of fractional-order uncertain systems with time delays. In order to handle the effects brought by the uncertainties, external disturbances, time-delay terms, and to overcome the obstacles caused by inputs saturation, the tracking controller, which consisted of linear control law, nonlinear law, and robust control law proposed in this paper, was designed by combining the composite nonlinear feedback control method and the properties of fractional order operators. Furthermore, the validation of this tracking controller was proved.

Keywords

• fractional-order uncertain systems
• composite nonlinear feedback controller
• saturation constraints