IEEE 61st Conference on Decision and Control (CDC), Cancun, Meksika, 6 - 09 Aralık 2022, ss.3908-3913, (Tam Metin Bildiri)
In this paper, we study multiagent networks subject to misbehaving nodes (i.e., nodes subject to exogenous disturbances) over fixed, connected, and directed graphs. In contrast to previous studies, which apply feedback control signals to every node in the network to suppress the adverse effect of misbehaving nodes, we propose to apply feedback control signals to a subset of nodes (i.e., driver nodes) in the network due to constraints. In particular, proportional-integral feedback controllers are proposed to be executed by the driver nodes, which guarantee that the overall multiagent network is stable in the sense of input-to-state stability (i.e., they make the resulting closed-loop system matrix Hurwitz). Following that we present a system-theoretical approach to find the steady-state value of each node in the network. In addition, a graph-theoretical approach is utilized to allow users to find steady-state values of critical nodes without requiring the knowledge of the Laplacian matrix of the overall multiagent network. Based on the results presented in this paper, one can gain the understanding how to select the driver nodes to negate the effect of misbehaving nodes on the neighborhood of the critical nodes. Finally, illustrative numerical examples are also presented to demonstrate the efficacy of the proposed approaches.