Robust H∞ Control for Uncertain Neutral Systems with Varying-Delay in State and Input Control

The design of robust H-infinity controller for a class of uncertain neutral systems with varying state delay and input control delay is considered. The uncertainties are norm-bounded and the states of the uncertain neutral systems are available. Combining the linear matrix inequality with Lyapunov functions by proper assumption, the existent conditions of quadratic stabilization and H-infinity state feedback controller are given. The robust H-infinity controller can be obtained by solving the corresponding linear matrix inequality. The controller designed can make the closed-loop neutral systems asymptotically stable, and it can also guarantee H-infinity properties.