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Mathematical Problems in Engineering
Volume 2015, Article ID 132517, 11 pages
http://dx.doi.org/10.1155/2015/132517
Research Article

Decentralized Finite-Time Connective Control for a Class of Large-Scale Systems with Different Structural Forms

1University of Science and Technology Liaoning, Anshan, Liaoning 114051, China
2Department of Electrical Engineering, Lakehead University, Thunder Bay, ON, Canada P7G 1A4

Received 16 February 2015; Revised 4 June 2015; Accepted 8 June 2015

Academic Editor: Rafael Morales

Copyright © 2015 Xiaohua Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Decentralized finite-time 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 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 connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.