Robust Output Feedback Stabilization of Uncertain Descriptor System

Abstract

For the decentralized robust stabilization of the interconnected large-scale descriptor system with uncertain output coefficient matrix that is time invariant, value-bounded (the value bound relatively small), the paper, with the linear matrix inequality (LMI) theory and the infinitesimal theory, gives the sufficient conditions respectively for the robust stabilization of the output feedback of the uncertain descriptor system and for the robust decentralized stabilization of the output feedback of the uncertain interconnected large-scale descriptor system. Also the design for decentralized output feedback controllers is discussed. A numerical example is given for the verification of the results.