We present a matrix form for adaptive control with network control systems. We address the problem of controlling systems with linear dynamics with unknown parameters over a network. The dynamical system can be unstable subject to network delays. The delays are introduced due to the presence of several control and non-control applications in the network control system. We show the effectiveness of the algorithm through a simulation study on a Control Area Network (CAN bus).

Omidreza Ahmadzadeh, Damoon Soudbakhsh, “Adaptive Control of Network Control Systems”, ECC2021