ROBUST H∞ CONTROLLER DESIGN FOR CONTINUOUS-TIME PIECEWISE TIME-DELAY SYSTEMS

This paper investigates the robust H, control problem for continuous-time piecewise time-delay systems by using piecewise Continuous Lyapunov function. The uncertainties of the systems under consideration are expressed in a linear fractional form. A strict linear matrix inequality approach is developed to obtain delay-dependent asymptotic stability conditions and H, performance. The H,, controller design problem is solved by exploiting the cone complementarity linearization (CCL) method. Finally in example is given to illustrate the application of the proposed approach.