Containment Control of Second-Order Discrete Time Multi-agent Systems with Leaders

Abstract

For containment control problems of discrete-time multi-agent systems with leaders, the motion state of leaders and second-order system model are presented. Based on modern control theory, algebraic graph theory and linear matrix inequality method, the fast cooperative control of discrete time system under the proposed control algorithm is realized. For discrete-time multi-agent systems with disturbance, the final convergence state is bounded which means all followers enter and stabilize in the target area. The simulation examples are given to illustrate the correctness of the theoretical results.