Internet traffic control with the H2/H∞ controller

This paper studies the H₂/H_∞ approach to control the Internet traffic. We are interested in using the H₂ formulation to improve transient performances in addition to maintaining the robust performance offered by the formerly used H_∞ formulation. In this controller, the closed-loop dynamics are monitored and controlled by the sensitivity functions along with their associated weight functions. The LMI approach is used to solve the optimization problem under the H₂/H_∞ formulation. Our performance evaluation via simulation demonstrated that our robust H₂/H_∞ controller is robust and can provide significant improvements in transient response and steady state performance when compared to the H_∞ controller.