Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2016, Vol. 33 ›› Issue (2): 199-205.doi: 10.3969/j.issn.1005-3085.2016.02.009

Previous Articles     Next Articles

Fuzzy Robust $H_\infty$ Control for Uncertain Nonlinear Systems via Output Feedback

QU Zi-fang1,   DU Zhen-bin2   

  1. 1- College of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005
    2- School of Computer and Control Engineering, Yantai University, Yantai 264005
  • Received:2014-09-16 Accepted:2015-09-24 Online:2016-04-15 Published:2016-06-15
  • Supported by:
    The National Natural Science Foundation of China (61203320); the Natural Science Foundation of Shandong Province (ZR2014FL023); the Youth Science Foundation of Shangdong Institute of Business and Technology (2013QN051).

Abstract:

This paper is concerned with a fuzzy robust $H_\infty$ control problem via output feedback for a class of uncertain nonlinear systems. The uncertain nonlinear systems are represented by fuzzy Takagi-Sugeno (T-S) model, and a fuzzy controller is designed based on the state observer. A sufficient condition for the existence of fuzzy controller is given in terms of the linear matrix inequalities (LMIs) and the adaptive law. Based on Lyapunov stability theorem, the proposed fuzzy control scheme such that the desired H∞ performance is achieved in the sense that all the closed-loop signals are uniformly ultimately bounded (UUB). Simulation results indicate the effectiveness of the developed control scheme. In this paper, a less conservative fuzzy tracking controller is proposed, where the matching condition and the upper bound are avoided. Comparing with the existing works, the dimension of the LMIs of this paper is reduced.

Key words: fuzzy T-S model, fuzzy logic systems, uncertain nonlinear systems, $H_\infty$ control, output feedback

CLC Number: