Second-order Consensus Of Multi-agent Systems With Noise Via Intermittent Control

Second-order consensus of multi-agent systems via intermittent control is investigat-ed in this paper. In the third chapter, we study the mean-square consensus problem with communication noise by intermittent control. In order to realize consensus, under the strong directed interacted topology, by using the tools of graph theory and Lyapunov method, a distributed control protocol is proposed based on the noise and periodical intermittent information. Moreover, it is proved that the given conclusions which are about the upper bound of noise strength in the sense of matrix norm and the lower bound of communication time in a period are efficient. In the forth chapter, we talk about a class of coupled systems models which include delay-terms in their nonlinear-ities in the noisy environment. Under the balanced strongly-connected topology, the sufficient conditions to get the mean-square average consensus are given. In the fifth chapter, we focus on a more general case, a distributed control protocol is given based on the relatively delayed intermittent communication. By the similar method, we gen-erate a upper bound of maximum time delay which is related to the Lipschitz constant and coupled parameter of systems to guarantee the network consensus. Simulations are given to illustrate the effectiveness of our results.