Abstract
This paper studies the event-triggering leader-follower consensus with the strictly dissipative performance for nonlinear multi-agent systems (MASs) with semi-Markov changing topologies. First, a polynomial fuzzy model is established to describe the error nonlinear multi-agent system that is formed by one virtual leader and followers. Then, a new event-triggering transmission strategy is proposed to mitigate communication and computational load. By utilizing the event-triggering mechanism and modeling the switching topologies by semi-Markov process, a sampled-data based consensus protocol is designed. Compared with traditional Markov jump topologies, the transition rate is time-varying for semi-Markov switching topologies. By mode-dependent Lyapunov-Krasovskii functional, the sum of square based relaxed stabilization conditions for fuzzy MASs are obtained to guarantee event-triggering consensus with strict dissipativity in an even-square sense, i.e., the derived conditions take into account the joint effects of event-triggering control, semi-Markov jump topologies and external disturbance. An illustrative example is provided to verify the proposed consensus design schemes.
Highlights
Cooperative consensus of multi-agent systems (MASs) has received considerable attention owing to its wide applications, including flocking [1], formation control [2], [3]
To describe the time-varying topology, a common method is that the switching topologies are modeled by the Markov process, which have been attracted a lot of concerns
Motivated by the above discussion, this paper investigates the even-triggering consensus with strict dissipativity of polynomial fuzzy MASs with semi-Markov changing topologies
Summary
Cooperative consensus of multi-agent systems (MASs) has received considerable attention owing to its wide applications, including flocking [1], formation control [2], [3]. J. Yu et al.:Event-based Consensus Tracking for Nonlinear Multi-Agent Systems under Semi-Markov Jump Topology dissipativity of the switched stochastic discrete system. The control problem of event-triggering consensus is discussed for linear MASs with changing topologies in [26]. Motivated by the above discussion, this paper investigates the even-triggering consensus with strict dissipativity of polynomial fuzzy MASs with semi-Markov changing topologies. [13] addresses the time-triggering consensus problems for nonlinear MASs under Markov switching topologies. (iii) Using mode-dependent Lyapunov-Krasovskii functional, relaxed stabilization conditions based on sum of square (SOS) [37] are obtained to assure event-triggering consensus with strict dissipativity in an even-square sense, i.e., the presented conditions take into account the joint effects of event-triggering communication, semi-Markov jump topologies and external disturbance. PRELIMINARIES AND PROBLEM FORMULATION Here, we introduce the related knowledge of graph theory and the problem formulation is presented
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
