Improved Disturbance Rejection Performance for Descriptor Systems Based on Adaptive Equivalent-Input-Disturbance

The improved equivalent-input-disturbance (EID) approach is presented for descriptor systems is this paper. The adaptive law to enhance the disturbance rejection performance. The system is divided into two subsystems by separation theorem. For the one subsystem, sufficient condition for the admissibility of the descriptor networked control system with time-delay is given in terms of linear matrix inequality (LMI), which is used to determine the gain of state-feedback controller. The sufficient condition for the admissibility of the other subsystem, is given to obtain the gain of the observer. The adaptive law is presented by Lyapunov function. A numerical example is carried out to verify the effectiveness of the modified method.