H∞ Consensus Control for Discrete-Time Multi-Agent Systems with Switching Topology

Abstract

In this paper, we consider H∞ consensus problems for discrete-time multi-agent systems with high-dimensional linear coupling dynamics, subjected to external disturbances. The interaction topology among the agents is assumed to be switching and undirected. By using the model transformation, the multi-agent H∞ consensus control problem is converted into H∞ control problem for a switching linear system. Some sufficient conditions are established under which all agents can reach consensus with the desired H∞ performance in switching topology case by constructing a parameter-dependent common Lyapunov function.