Resilient dynamic output feedback control for bipartite consensus of multiagent systems with Markov switching topologies
Rathinasamy Sakthivel, Arumugam Parivallal, Subramanian Manickavalli, Fanchao Kong, Yong Ren · International Journal of Robust and Nonlinear Control · 2021
Abstract This study is systematically devoted to the problem of dynamic output feedback control for bipartite consensus of multiagent systems in the presence of Markov switching topologies. The main purpose of this study is to develop a dynamic output feedback controller with gain fluctuations such that the considered multiagent system achieves bipartite consensus. Notably, the interaction among agents of the considered system is depicted by a signed undirected Markovian switching network topologies. Pursuant to Lyapunov stability theory and algebraic graph theory, sufficient conditions will be derived in terms of linear matrix inequalities to obtain the bipartite consensus of the concerned problem. At last, superiority of the designed dynamic output feedback control technique and developed theoretical results are conferred through two numerical examples.