Title
Adaptive T-S fuzzy-neural modeling and control for general MIMO unknown nonaffine nonlinear systems using projection update laws
Abstract
This paper describes a novel design of an on-line Takagi–Sugeno (T–S) fuzzy-neural controller for a class of general multiple input multiple output (MIMO) systems with unknown nonlinear functions and external disturbances. Instead of modeling the unknown systems directly, the T–S fuzzy-neural model approximates a virtual linearized system (VLS) of a real system with modeling errors and external disturbances. Compared with previous approaches, the main contribution of this paper is an investigation of more general MIMO unknown systems using on-line adaptive T–S fuzzy-neural controllers. In this paper, we also use projection update laws, which generalize the projection algorithm, to tune the adjustable parameters. This prevents parameter drift and ensures that the parameter matrix is bounded away from singularity. We prove that the closed-loop system controlled by the proposed controller is robust stable and the effect of all the modeling errors and external disturbances on the tracking error can be attenuated. Finally, two examples covering four cases are simulated in order to confirm the effectiveness and applicability of the proposed approach in this paper.
Year
DOI
Venue
2010
10.1016/j.automatica.2010.02.024
Automatica
Keywords
Field
DocType
real system,general mimo unknown nonaffine,adaptive t-s fuzzy-neural modeling,t-s fuzzy-neural model,nonaffine nonlinear systems,modeling error,t–s fuzzy-neural model,fuzzy-neural controller,on-line adaptive t-s fuzzy-neural,nonlinear system,external disturbance,on-line modeling,projection update law,closed-loop system,unknown system,general mimo unknown system,unknown nonlinear function,linear system,model error
Control theory,Mathematical optimization,Nonlinear system,Dykstra's projection algorithm,Matrix (mathematics),Control theory,Singularity,MIMO,Law,Mathematics,Tracking error,Bounded function
Journal
Volume
Issue
ISSN
46
5
Automatica
Citations 
PageRank 
References 
30
1.56
21
Authors
4
Name
Order
Citations
PageRank
Wei-Yen Wang199587.40
Yi-Hsing Chien2898.33
Yih-Guang Leu351533.76
Tsu-Tian Lee41635148.07