Decentralized H∞ control of large-scale descriptor systems using proportional-plus-derivative state feedback

Abstract

This paper is concerned with the problem of decentralized H∞ proportional-plus-derivative(PD) state feed-back control of uncertain large-scale descriptor systems. The uncertainties are assumed to be polytopic type and appearing in derivative matrices as well as state and input matrices. Sufficient condition for stabilization of uncertain large-scale descriptor systems via H∞ PD state feedback is addressed in terms of Linear Matrix Inequalities(LMIs). A numerical example is given to prove the effectiveness of the proposed control method.