Sliding mode control for linear neutral time-delay systems

A robust sliding mode control strategy with virtual state feedback is presented for the neutral time-delay systems. The virtual state feedback control is designed to avoid the complicated non-linear matrix inequality. Furthermore, a delay-independent sufficient condition for the design of a robust stable sliding mode plane is obtained in terms of linear matrix inequality (LMI). A brief sliding mode controller is designed to guarantee state trajectories from any initial condition are attracted to the sliding mode plane in a finite time and remain there for all subsequent time. The stability of the sliding mode control system is also guaranteed. A numerical example with simulation results is given to illustrate the effectiveness of the methodology.