Robust Design of Networked Control Systems with Randomly Varying Delays and Packet Losses

A relatively general framework for designing robust controllers over communication networks is presented. It has the capability of handling randomly time-varying packet transmission delays and probability of packet losses. The presented method can also handle multiple channels of communication simultaneously. Results are based on continuous time methods that use Lyapunov-Krasovskii functionals. It is shown via an example that how state feedback controllers can be designed based on LMIs. Fixed structure output feedback controllers have been designed based on BMIs.