Regional Hinfinity Synchronization of Identical Linear Multi-agent Systems under Input Saturation
Résumé
This paper addresses the local synchronization problem of identical linear multi-agent systems subject to input saturation constraints and exogenous disturbances with guaranteed region of attraction. A dynamic output feedback controller is proposed, while the information exchanged through the network is the relative input mismatch of each agent with respect to the neighbors. Using a suitable incremental sector condition we cast the synchronization of multi-agent systems with general undirected topology in terms of Bilinear Matrix Inequalities (BMIs). Based on a multi-step convex controller design procedure, the effectiveness of the theoretical results is demonstrated through numerical simulations of a fleet of quadrotors.