Composite finite-time containment control for disturbed second-order multi-agent systems

Abstract

In this chapter, the distributed finite-time containment control problem is investigated for second-order multi-agent systems with external disturbances. By combining finite-time control and finite-time disturbance observer techniques together, a kind of feedforward-feedback composite distributed controllers are proposed. Under these distributed controllers, the effects of the disturbances on the system states are removed in a finite time and the followers globally converge to the convex hull spanned by the leaders in a finite time as well. Simulations illustrate the effectiveness of the proposed control algorithms.