Research Of Consensus For PDEs Multi-agent Systems Based On Event-triggered Control

In recent years,multi-agent systems(MASs)have been widely applied in the air traffic management,the control of unmanned aerial vehicles,the synchronization of team satellites,the cooperative control of multi-robot and other engineering fields.As an important issue of cooperative control for MASs,consensus has attracted the attention of many scholars.In addition,MASs characterized by partial differential equations(PDEs)can better describe natural phenomena.Therefore,this thesis mainly investigates the finite-time consensus for several kinds of heat PDEs multi-agent systems via event-triggered control strategy.The main works are summarized as follows:Firstly,based on the established heat PDEs systems and the fixed-time convergence principle,the finite-time and fixed-time bipartite consensus conditions are established for the presented system via event-triggered control protocols;Secondly,a fractional-order MAS of heat PDEs is presented,and the corresponding finite-time stability theory is proposed.According to the established principle and the eventtriggered control mechanism,the finite-time consensus tracking criterion of the system is obtained by using Lyapunov functional method;Finally,a fractional-order semilinear heat PDE multi-agent network model is established,and the proof of the well-posedness for the system is given by applying monotone iteration method.Then,the finite-time consensus condition is obtained in the form of linear matrix inequalities(LMIs)by using event-triggering control strategy.Moreover,the dynamic event-triggered control method is applied to make the system achieve the Mittag-Leffler(M-L)consensus goal.In addition,on the basis of the above research,the settling times are estimated accurately.The effectiveness can be verified through numerical example simulations.