Consensus tracking of fractional-order multi-agent systems based on sliding mode estimator

This paper investigates consensus tracking of nonlinear fractional-order multi-agent systems based on sliding mode estimator under directed network topology. To achieve consensus tracking, the control input is designed using sliding mode estimator. Then, a theorem is given to prove the effectiveness of the above control input when the demanded conditions are satisfied, where the fractional-order Lyapunov direct method is applied. Finally, the obtained results are verified by numerical simulations.