Study On Consensus Of Multi-agent Systems Based On Event-Triggered Scheme

Due to the continuous progress of network communication technology and the application potential of multi-agent systems in different fields,the research on its related issues has become a hot topic in the control discipline.In view of the problems of limited network bandwidth and computing resources in practice,researchers have proposed event-triggered mechanism.Compared with traditional periodic sampling control,event-triggered mechanism can effectively reduce the waste of communication resources while ensuring the consensu of multi-agent systems.In this paper,an event-triggered control protocol was designed for multi-agent systems with input saturation and Markov jump parameters,and its consensus was analyzed and studied.The main work as follows:(1)The consensus problem of multi-agent systems with input saturation under Markov switching topology was studied.The sector bounded method was used to transform the saturation term into inequality constraints.By model transformation,the leader-following consensus problem of multi-agent systems was equivalent to the stability problem of a class of Markov jump systems.The Lyapunov-Krasovskii functional was constructed.Combining with the free weight matrix method,the sufficient conditions for consensus constructed by linear matrix inequalities were obtained,and the consensus controller under Markov switching topology was designed.(2)Considering multi-agent systems with Markov jump parameters,the consensus problem under event-triggered mechanism was studied.Considering that the transition probability matrix has known,unknown and given interval uncertainties,an adaptive event-triggered mechanism was proposed.The Lyapunov-Krasovskii functional was constructed.By using Jenson inequality and linear matrix inequality techniques,the consensus of multi-agent systems was analyzed,and a consensus controller with adaptive trigger parameters was designed.