Adaptive Backstepping Fuzzy Control Based on Type-2 Fuzzy System
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-26
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Li, Yimin& Yang, Yue& Li, Li. 2012. Adaptive Backstepping Fuzzy Control Based on Type-2 Fuzzy System. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-1028964
Modern Language Association (MLA)
Li, Yimin…[et al.]. Adaptive Backstepping Fuzzy Control Based on Type-2 Fuzzy System. Journal of Applied Mathematics No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-1028964
American Medical Association (AMA)
Li, Yimin& Yang, Yue& Li, Li. Adaptive Backstepping Fuzzy Control Based on Type-2 Fuzzy System. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-1028964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028964