Dissipativity-Based Consensus Tracking Control of Nonlinear Multiagent Systems With Generally Uncertain Markovian Switching Topologies and Event-Triggered Strategy

Abstract

This article focuses on the dissipativity-based consensus tracking control (DBCTC) problems of time-varying delayed leader-following nonlinear multiagent systems (LFN-MASs) with event-triggered transmission strategy. The switching topologies of the LFNMASs are subject to uncertain and partially unknown generally Markovian jumping process. The control inputs of the following agents are updated according to the proposed event-triggered transmission strategy, which could reduce the communication burden. Based on the eventtriggered transmission condition and distributed consensus protocol, some dissipativity-based criteria obtained by adopting the delay-product-term Lyapunov-Krasovskii functional (DPTLKF) and higher order polynomial based relaxed inequality (HOPRII) are proposed to guarantee LFNMASs consensus. The validity of the main results is verified by two simulation examples.Index Terms-event-triggered consensus strategy, leaderfollowing nonlinear multiagent systems (LFNMASs), generally uncertain Markovian switching topologies, higher order polynomial based relaxed inequality (HOPRII).

Dynamic event‐triggered leader‐following consensus of nonlinear multi‐agent systems with measurement noises

“…We will design a kind of dynamic event‐triggered consensus protocol with a time‐invariant coupling strength to attenuate the measurement noises. Compared with the static event‐triggered control in [36], the dynamic event‐triggered consensus protocol in this paper allows the MASs to achieve consensus asymptotically. In addition, the triggering threshold is adaptive to the consensus error, which results in more reasonable trigger instants.…”

“…To cut down the utilization of communication bandwidth, event-triggered strategy is widely employed in the design of controllers [35]. In [36], static an vent-triggered control protocol for MASs was designed under Markovian switching topologies. Note that the fixed triggering threshold in the static event-triggered strategy hinders systems from achieving asymptotically stability [10].…”