Journal of Applied Mathematics
Volume 2012 (2012), Article ID 658424, 27 pages
Research Article

Adaptive Backstepping Fuzzy Control Based on Type-2 Fuzzy System

1Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China
2School of Computer Science Telecommunication Engineering, Zhenjiang, Jiangsu 212013, China

Received 20 August 2011; Revised 28 December 2011; Accepted 29 December 2011

Academic Editor: Alain Miranville

Copyright © 2012 Ll Yi-Min 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.


A novel indirect adaptive backstepping control approach based on type-2 fuzzy system is developed for a class of nonlinear systems. This approach adopts type-2 fuzzy system instead of type-1 fuzzy system to approximate the unknown functions. With type-reduction, the type-2 fuzzy system is replaced by the average of two type-1 fuzzy systems. Ultimately, the adaptive laws, by means of backstepping design technique, will be developed to adjust the parameters to attenuate the approximation error and external disturbance. According to stability theorem, it is proved that the proposed Type-2 Adaptive Backstepping Fuzzy Control (T2ABFC) approach can guarantee global stability of closed-loop system and ensure all the signals bounded. Compared with existing Type-1 Adaptive Backstepping Fuzzy Control (T1ABFC), as the advantages of handling numerical and linguistic uncertainties, T2ABFC has the potential to produce better performances in many respects, such as stability and resistance to disturbances. Finally, a biological simulation example is provided to illustrate the feasibility of control scheme proposed in this paper.