Research On Consensus Of Several Stochastic Multi-agent Systems

Consensus of multi-agent systems has been widely used in many fields such as the formation flight of unmanned aerial vehicle and the attitude control of satellite.Stochastic disturbances are ubiquitous in engineering applications and have important effects on the performance of a multi-agent system.Therefore,research on the consensus of stochastic multi-agent systems has practical significance.In view of this,this paper discusses the consensus of several types of stochastic multi-agent systems.The main works are as follows:?1?The problem of consensus of for stochastic multi-agent systems with time-delay is studied.The aim is to design a controller such that the multi-agent system reaches consensus.By constructing an appropriate Lyapunov-Krasovskii functional and using an effective decoupling method,a sufficient condition in the form of linear matrix inequalities for ensuring the existence of the desired observer-based controller is given,and a numerical simulation is provided to illustrate the effectiveness of the proposed control protocol.?2?The problem of L₂-L_?consensus of multi-agent systems with stochastic disturbances and Markovian switching topologies is studied.The objective is to design a control protocol in the form of dynamic output feedback such that the multi-agent system reaches consensus and has a prescribed L₂-L_?disturbance attenuation level.By using linear transformations,the L₂-L_?consensus problem is transformed into a standard L₂-L_?control problem.Then a new bounded real lemma is established.On the basis of this,an approach for the design of control protocol is developed.Finally,a numerical simulation is provided to illustrate the effectiveness of the proposed control protocol.?3?The problem of H_?consensus of nonlinear stochastic multi-agent systems with time-delay is studied.The objective is to design a dynamic output feedback controller such the multi-agent system reaches consensus and has a prescribed H_?disturbance attenuation level.By using the Lyapunov-Krasovskii functional method and the generalized It?'s formula,both delay-independent and delay-dependent stochastic bounded real lemmas are developed.Based on these,sufficient conditions on the existence of the desired controller are presented in the form of linear matrix inequalities.Finally,two numerical simulations are provided to illustrate the effectiveness of the proposed control protocol.