Interval Consensus of Uncertain Positive Multiagent Systems with External Disturbances and Measurement Noises

In this paper, an interval distributed consensus algorithm is proposed for uncertain positive multiagent systems with external disturbances and measurement noises. The system states are unmeasurable. Using the upper bound and lower bound of the external disturbances and measurement noises, distributed interval observers are designed to estimate the bounds of the unmeasurable states. By utilizing the estimated states, a distributed algorithm is proposed to make the positive multiagent systems achieve interval consensus. Sufficient conditions for interval consensus are derived for both undirected topologies and directed topologies. The feedback matrices are obtained by solving linear programming problems. Simulation studies are given to illustrate the effectiveness of the proposed algorithm.