Non-fragile Exponential Consensus of Nonlinear Multi-agent Systems via Sampled-data Control

Abstract In this article, non-fragile exponential consensus problem is investigated for nonlinear multi-agent systems (MASs) through the use of sampled-data controllers. The sampled-data system is translated to a continuous system with time-varying delay through input delay approach via control input. With the introduction of a sampled-data approach, the information is sent only to the network at each sampling instant and is inevitably subject to a transmission delay. By using the tools from algebraic graph theory and Lyapunov-Krasovskii functional (LKF) technique, it is proved that the concerned non-fragile consensus problem is solvable if the resultant consensus error system can be exponentially stabilized. Numerical example is given to illustrate the merits of the results obtained.