Observer‐based adaptive event‐triggered consensus for linear multiagent systems with bounded leader's input under directed graphs

Abstract The consensus problem of linear multiagent systems (MASs) with a leader of bounded input under directed graphs is an important research topic. However, for the directed graphs, the existing methods dealing with consensus problem rely on the global information or continuous communication among neighbors. This paper focuses on the consensus problem of linear MASs with a leader of bounded input by adaptive event‐triggered output feedback control, where the digraph contains a spanning tree with the leader as the root. A fully distributed event‐triggered consensus protocol is presented by several observers, which are used to estimate the upper bound of the leader's input and the state of each agent, respectively. Compared with the existing results on the consensus control of MASs under directed graphs, the proposed method is independent of any global information, and is suitable for situations where the states of all agents is unavailable and only a part of followers know the upper bound of the leader's input.