Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (4): 629-634.doi: 10.3969/j.issn.1004-4132.2010.04.016

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Non-fragile guaranteed cost control of discrete-time fuzzy bilinear system

Guo Zhang1,2,* and Junmin Li1   

  1. 1. School of Science, Xidian University, Xi’an 710071, P. R. China;
    2. Department of Electronical Engineering and Automation, Luoyang Institute of Science and Technology, Luoyang 471023, P. R. China

  • Online:2010-08-26 Published:2010-01-03

Abstract: This paper focuses on the problem of non-fragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems (DFBS). Based on the parallel distributed compensation (PDC) approach, the sufficient conditions are derived such that the closed-loop system is asymptotically stable and the cost function value is no more than a certain upper bound in the presence of the additive controller gain perturbations. The non-fragile guaranteed cost controller can be obtained by solving a set of bilinear matrix inequalities (BMIs). The Van de Vusse model is utilized to demonstrate the validity and effectiveness of the proposed approach.