Paper Info
Title
Adaptive Fuzzy Tracking Control For A Class Of Perturbed Nonlinear Time-Varying Delays Systems With Unknown Control Direction
Abstract
An adaptive fuzzy control scheme with only one adjusted parameter is developed for a class of nonlinear time-varying delays systems. Three kinds of uncertainties: time-varying delays, control directions, and nonlinear functions are all assumed to be completely unknown, which is different from the previous work. During the controller design procedure, appropriate Lyapunov-Krasovskii functionals are used to compensate the unknown time-varying delays terms and the Nussbaum-type function is used to detect the unknown control direction. It is proved that the proposed controller guarantees that all the signals in the closed-loop system are bounded and the tracking errors converge to a small neighborhood around zero. The two main advantages of the developed scheme are that (i) by combining the appropriate Lyapunov-Krasovskii functionals with the Nussbaum-gain technique, the control scheme is proposed for a class of nonlinear time-varying delays systems with unknown control directions, (ii) only one parameter needs to be adjusted online in controller design procedure, which reduces the computational burden greatly. Finally, two examples are used to show the effectiveness of the proposed approach.
Year
DOI
Venue
2013
10.1142/S0218488513500256
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
Field
DocType
Adaptive fuzzy control, nonlinear, time-varying delays, Lyapunov-Krasovskii functionals, Nussbaum-type function
Control theory,Mathematical optimization,Nonlinear system,Control theory,Controller design,Fuzzy logic,Fuzzy control system,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
21
4
0218-4885
Citations 
PageRank 
References 
2
0.36
33
Authors
2
Name
Order
Citations
PageRank
Hongyun Yue1202.22
Jun-Min LI239036.09