Abstract
In this paper, we consider the leader tracking problem of a directed networked Lagrangian systems under denial-of-service (DoS) attacks on communication links. To this end, a new adaptive distributed resilient control scheme is proposed to resist the influence of the DoS attacks. Under the proposed control framework, the local controllers are allowed to update their control signals aperiodically and asynchronously. The resulting system is analyzed based on an improved multidimensional small gain approach. Under the derived sufficient conditions, which significantly relax the existing convergence conditions that depend on the duration and frequency of DoS attacks for linear systems, the proposed control scheme can almost ensure the resilient leader tracking under arbitrary DoS attacks with bounded durations and frequencies.
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