Multiparty Consensus of Multi Agent Systems Using Fixed Time Control

In this paper we propose a new distributed multiparty consensus for multi agent systems with a leader follower framework. The agents in multi-party consensus are separeted in different parties, but with in a party the agents synchronize with each other, but different parties have different orientation. So far the allignment is formulated by using complex numbers [1] [2]. Instead of complex valued Laplacian for a connected graph, we propose a matrix sharing technique to obtain different orientation between parties. The weight matrix will contain the scaling and orientation information among the parties. A sufficient condition is developed to obtain multi-party consensus. By using fixed time control technique a multi-party consensus controller is realized. Simulation studies demonstrate the effectiveness of the proposed approach.