AIAA Science and Technology Forum and Exposition (AIAA SciTech Forum), ELECTR NETWORK, 3 - 07 Ocak 2022, (Tam Metin Bildiri)
The authors recently studied control of multiagent systems with misbehaving nodes [1, 2], where the systems with driver, floating, and misbehaving nodes were considered. The role of the driver nodes was to exchange information between their neighboring nodes as well as to act as input and output nodes on the network to suppress the negative effect of misbehaving nodes on the overall system by utilizing a proportional-integral control algorithm. In this paper, we consider a worst-case scenario in that all nodes in the system is subject to a disturbance and apply control inputs (i.e., the proportional-integral control algorithm) to certain number of (i.e., driver) nodes. Our contribution is to present illustrative numerical examples with different graph topologies and various number of driver nodes on varying locations to obtain the insight where to apply the control inputs to minimize the effects of the misbehaving nodes on the overall system and achieve certain objectives; that is, minimizing the maximum steady-state error and/or the sum of steady-state errors of nodes in the network.