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

• Published in: IEEE transactions on cybernetics Vol. 53; no. 8; pp. 4763 - 4778
• Main Authors: Wang, Junyi, Zhang, Huaguang, Fu, Jun, Liang, Hongjing, Meng, Qinggang
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.08.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Artificial neural networks; Control systems; Delays; Dissipation; Event-triggered consensus strategy; generally uncertain Markovian switching topologies; higher order polynomial-based relaxed inequality (HOPRII); leader-following nonlinear multiagent systems (LFNMASs); Multi-agent systems; Multiagent systems; Network topology; Nonlinear control; Nonlinear systems; Polynomials; Switches; Switching; Topology; Tracking control
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2022.3141599

This article focuses on the dissipativity-based consensus tracking control (DBCTC) problems of time-varying delayed leader-following nonlinear multiagent systems (LFNMASs) with the event-triggered transmission strategy. The switching topologies of the LFNMASs are subject to the 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 event-triggered 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 the LFNMAS consensus. The validity of the main results is verified by two simulation examples.