Network-based l2–l∞ control of systems with time-varying delays

This paper deals with the problem of l₂-l_∞ control for networked control systems (NCSs) with time-varying delays. By resorting to free-weighting matrix approach, a conclusion is given in the form of nonlinear matrix inequalities. In order to obtain the controller, we transform the nonlinear matrix inequalities to linear matrix inequalities based on an inequality. The new delay-dependent condition guarantees the asymptotical stability of the closed-loop system, as well as reduces the effect of the disturbance input on the controlled output to a prescribed level. Meantime, a stabilizing state feedback controller is also presented. A numerical example is provided to demonstrate the effectiveness of the proposed algorithms.