Mean-Square Consentability of Multiagent Systems With Nonidential Channel Fading
Juanjuan Xu, Zhaorong Zhang, Wei Wang
Abstract
In this article, we are concerned with the consensus problem of multiagent system where the channels from each agent's control input to the plant are fading nonidentically. Two problems have been extensively studied. One is the consentable problem when the current state information is available for the controller. The other is that the state information is delayed for the controller in which we propose a novel predictorlike control protocol. It is obtained that the multiagent system with system matrices <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$A=B=1$</tex-math></inline-formula> is mean-square consentable for both problems. In particular, the mean-square consensus value is the average of all agents’ initial states. Furthermore, for the multiagent system with general dynamics, sufficient conditions have been obtained in terms of two parameterized Riccati inequality/equation for both problems, respectively.