Title
Adaptive fuzzy control of a class of MIMO nonlinear systems
Abstract
This paper presents two indirect adaptive fuzzy control schemes for a class of uncertain continuous-time multi-input multi-output nonlinear dynamic systems. Within these schemes, fuzzy systems are employed to approximate the plant's unknown nonlinear functions and robustifying control terms are used to compensate for approximation errors. By using a regularized matrix inverse, a stable well-defined adaptive controller is firstly investigated. Then, in order to obtain an adaptive controller not depending upon any parameter initialization conditions and to relax the requirement of bounding parameter values, a second adaptive controller is proposed. All parameter adaptive laws and robustifying control terms are derived based on Lyapunov stability analysis so that, under appropriate assumptions, semi-global stability and asymptotic convergence to zero of tracking errors can be guaranteed. Simulations performed on a two-link robot manipulator illustrate the approach and exhibit its performance.
Year
DOI
Venue
2005
10.1016/j.fss.2004.10.009
Fuzzy Sets and Systems
Keywords
Field
DocType
Fuzzy systems,Fuzzy control,Adaptive control,MIMO nonlinear systems
Convergence (routing),Control theory,Nonlinear system,Control theory,Lyapunov stability,Exponential stability,Initialization,Adaptive control,Fuzzy control system,Mathematics
Journal
Volume
Issue
ISSN
151
1
0165-0114
Citations 
PageRank 
References 
64
3.53
2
Authors
3
Name
Order
Citations
PageRank
Labiod Salim129417.65
Mohamed Seghir Boucherit2715.35
Thierry Marie Guerra3106073.97