Title
Robust adaptive controller design for a class of uncertain nonlinear systems using online T-S fuzzy-neural modeling approach.
Abstract
This paper proposes a novel method of online modeling and control via the Takagi-Sugeno (T-S) fuzzy-neural model for a class of uncertain nonlinear systems with some kinds of outputs. Although studies about adaptive T-S fuzzy-neural controllers have been made on some nonaffine nonlinear systems, little is known about the more complicated uncertain nonlinear systems. Because the nonlinear functions of the systems are uncertain, traditional T-S fuzzy control methods can model and control them only with great difficulty, if at all. Instead of modeling these uncertain functions directly, we propose that a T-S fuzzy-neural model approximates a so-called virtual linearized system (VLS) of the system, which includes modeling errors and external disturbances. We also propose an online identification algorithm for the VLS and put significant emphasis on robust tracking controller design using an adaptive scheme for the uncertain systems. Moreover, the stability of the closed-loop systems is proven by using strictly positive real Lyapunov theory. The proposed overall scheme guarantees that the outputs of the closed-loop systems asymptotically track the desired output trajectories. To illustrate the effectiveness and applicability of the proposed method, simulation results are given in this paper.
Year
DOI
Venue
2011
10.1109/TSMCB.2010.2065801
IEEE Transactions on Systems, Man, and Cybernetics, Part B
Keywords
Field
DocType
uncertain nonlinear systems,uncertain nonlinear system,robust adaptive control,uncertain systems,t-s fuzzy-neural model,fuzzy-neural modeling approach,online identification algorithm,nonaffine nonlinear system,nonlinear function,traditional t-s fuzzy control,control system synthesis,closed loop system,robust control,robust adaptive controller design,adaptive t-s fuzzy-neural controller,online modeling,uncertain function,virtual linearized system,complicated uncertain nonlinear system,uncertain system,closed-loop system,adaptive control,nonlinear control systems,lyapunov theory,tracking,fuzzy-neural model,takagi-sugeno fuzzy neural model,robust tracking controller design,closed loop systems,fuzzy neural nets,lyapunov methods,online t-s fuzzy neural modeling,adaptive systems,robustness,nonlinear system,nonlinear systems,nonlinear dynamics,algorithms,mathematical model,computer simulation,adaptive system,feedback,control systems,mimo
Lyapunov function,Mathematical optimization,Nonlinear system,Computer science,Control theory,Adaptive system,Robustness (computer science),Adaptive control,Control system,Fuzzy control system,Robust control
Journal
Volume
Issue
ISSN
41
2
1941-0492
Citations 
PageRank 
References 
28
1.01
21
Authors
4
Name
Order
Citations
PageRank
Yi-Hsing Chien1898.33
Wei-Yen Wang299587.40
Yih-Guang Leu351533.76
Tsu-Tian Lee41635148.07