Non-fragile robust H∞ control for a class of uncertain time-varying state-delayed systems

The non-fragile robust H infinity controller is designed for a class of uncertain linear systems with time-varying state delay under additive perturbations of controller gain. A sufficient condition for the solvability of the non-fragile robust H controller via state feedback is proved and presented, which based on a proper Lyapunov function and linear matrix inequalities. Non-fragile robust H-infinity controller can be obtained only by solving linear matrix inequlities. The systems under action of the given controller are not only robust but also satisfy H-infinity performance when controller changes, and thus have better adaptability against variety of the environment parameters.