Abstract
This paper investigates the consensus problem of a class of multi-agent systems with switching and undirected topologies subjected to external disturbances. By model transformation, the consensus problem is changed into the energy-to-peak control of a reduced-order closed-loop system. Then, with the aid of graph theory, Lyapunov stability theory and some decoulping techniques, a new LMI-based method is developed for designing static output feedback (SOF) controller to guarantee all agents achieve asymptotic consensus with prescribed energy-to-peak performance. A numerical example is provided to demonstrate the effectiveness of the proposed method.
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