Abstract
Abstract In this article, five particular types of sliding surfaces are presented to overcome consensus tracking problem for a class of nonlinear fractional multi-agent systems. Meanwhile, the sliding mode controller is suggested due to the presence of external disturbances in the follower agents dynamic models, the robust disturbance rejection control input can stabilize the consensus error dynamic of the fractional multi-agent system. Hence, both integer and fractional-order sliding surfaces are applied to increase the accuracy and convergence speed. The stabilities of various sliding surfaces are proved based on Lyapunov direct strategy and also Mittag-Leffler stability for fractional derivations. In this note it is assumed that the exact knowledge of the leader-follower dynamic, upper bound of smooth disturbance, full state access, and delay free communication among agents are available. In order to show the sliding motion accrues in finite time, upper bounds for reaching times of sliding surfaces are obtained. Moreover, based on the principle of dynamic memory resetting of fractional operators it is forced an invariant finite time sliding mode. Ultimately, the simulation results on the Arneodo chaotic system shows the capability of the proposed method.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
