Studies on resilient control through multiagent consensus networks subject to disturbances

Resiliency is one of the most critical objectives found in complex industrial applications today and designing control systems to provide resiliency is an open problem. This paper proposes resilient control design guidelines for industrial systems that can be modeled as networked multiagent consensus systems subject to disturbances or noise. We give a general analysis of multiagent consensus networks in the presence of different disturbances from the input-to-output stability point of view. Using a nonsingular linear transformation, some necessary and sufficient results are established for disturbed multiagent consensus networks by taking advantage of the input-to-state stability theory, based on which the disturbance rejection performance is analyzed in three cases separated by the spaces of disturbances and state disagreements between agents. It is shown that the linear matrix inequality technique can be adopted to determine the optimal disturbance rejection indexes for all the three cases. In addition, two illustrative numerical examples are given to demonstrate the derived consensus results for different types of directed graphs and subject to different classes of disturbances.