Decentralized finite-time \(H_{\infty}\) connective control for a class of large-scale systems with different structural forms (Q1664702)

Summary: Decentralized finite-time \(H_{\infty}\) connective control problem for a class of large-scale interconnected systems is studied in this paper. The research aims at two structural forms, namely, the interconnected structure and the one with expanding construction. A new method is proposed to design a decentralized state feedback control law for a large-scale interconnected system so that the closed-loop system is finite-time \(H_{\infty}\) connectively bounded. The sufficient conditions for the existence of such a decentralized control law are deduced by using LMI method. Another method is presented for a large-scale interconnected system with expanding construction which can be used without changing the decentralized state feedback control law of the original system to design a controller for the newly added subsystem so that both the new subsystem and the resulting expanded system are finite-time \(H_{\infty}\) connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.