Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 780740, 17 pages
http://dx.doi.org/10.1155/2012/780740
Research Article

Delay-Dependent Fuzzy Hyperbolic Model Based on Data-Driven Guaranteed Cost Control for a Class of Nonlinear Continuous-Time Systems with Uncertainties

Gang Wang,1 Dongsheng Yang,1 and Qingqi Zhao2

1School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110819, China
2Liaoning Electric Power Co., Ltd., Shenyang, Liaoning 110819, China

Received 30 August 2012; Accepted 23 November 2012

Academic Editor: Bin Jiang

Copyright © 2012 Gang Wang 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

This paper develops the fuzzy hyperbolic model with time-varying delays guaranteed cost controller design via state-feedback for a class of nonlinear continuous-time systems with parameter uncertainties. A nonlinear quadratic cost function is developed as a performance measurement of the closed-loop fuzzy system based on fuzzy hyperbolic model with time-varying delays. Some sufficient conditions for the existence of such a fuzzy hyperbolic model based on data-driven guaranteed cost controller via state feedback are presented by a set of linear matrix inequalities (LMIs). A simulation example is provided to illustrate the effectiveness of the proposed approach.