Robust decentralized stabilization of large-scale singular systems via proportional-plus-derivative state feedback

Abstract

This paper is concerned with the problem of robust stability and stabilization of large-scale singular systems with norm-bounded uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, a proportional plus derivative (PD) state feedback decentralized controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems. Keywords-robust stabilizabilily; decentralized controller; large-scale singular systems; state feedback 1.