Stabilization of descriptor system with uncertainties in the derivative coefficient matrix

Abstract

To the robust normalization and robust stabilization for the descriptor systems with uncertain parameters, the matrix inequations and Lyapunov ineqation are used to get, respectively, sufficient conditions for the normalization of closed-loop descriptor systems via proportional and derivative state feedback (PDSF) and proportional and derivative output feedback (PDOF), a sufficient condition for the robust stabilization of uncertain descriptor systems via PDSF, and a sufficient condition for robust stabilization of the uncertain interconnected large-scale systems. A numerical example is given for the verification of the results.