Stabilization of uncertain distributed networked control systems with minimal communications network

摘要

We derive a network stability condition for linear time-invariant distributed networked systems as the system parameters are allowed to take values within a specified class of model uncertainties. We use the modified Lyapunov equation which provides a sufficient condition for robust stability of the entire networked control system. We then proceed to design a communications network which satisfies the derived network stability condition but has minimum number of links. Reducing the number of communication links implies minimization of the communication network's cost and energy consumption.