Decentralized guaranteed cost control for uncertain large-scale singular systems via proportional-plus-derivative state feedback

In this paper, decentralized guaranteed cost control for uncertain large-scale singular systems are studied. The parametric uncertainty which is assumed be norm-bounded exists not only in system matrices, but also in a derivative matrix. For the stabilization of the given system, guaranteed cost proportionalplus-derivative state feedback is suggested. The linear matrix inequality (LMI) condition which guarantees quadratic performance index is given. Numerical examples are shown to validate the proposed control.