Active Disturbance Rejection for Descriptor Systems

This paper presents a new disturbance rejection scheme that adopts equivalent-input-disturbance (EID) approach for linear descriptor systems. The EID approach is used to estimate the influence of exogenous disturbances on the system. A new control law, which incorporates the EID estimate, is designed to ensure good control performance. A sufficient condition for regular, impulse-free, stable of the control system is derived in terms of linear matrix inequalities (LMI). And the gains of a state-feedback controller and obserber are designed based on the LMI. A numerical example demonstrates the validity of the method.