Title
Adaptive neural network control of nonlinear systems with unknown time delays
Abstract
In this note, adaptive neural control is presented for a class of strict-feedback nonlinear systems with unknown time delays. Using ap- propriate Lyapunov-Krasovskii functionals, the uncertainties of unknown time delays are compensated for such that iterative backstepping design can be carried out. In addition, controller singularity problems are solved by using the integral Lyapunov function and employing practical robust neural network control. The feasibility of neural network approximation of unknown system functions is guaranteed over practical compact sets. It is proved that the proposed systematic backstepping design method is able to guarantee semiglobally uniformly ultimate boundedness of all the sig- nals in the closed-loop system and the tracking error is proven to converge to a small neighborhood of the origin.
Year
DOI
Venue
2003
10.1109/TAC.2003.819287
Automatic Control, IEEE Transactions
Keywords
Field
DocType
lyapunov-krasovskii functionals,tracking error convergence,neural network approximation,uncertain systems,semiglobal uniformly ultimately boundedness,systematic backstepping design method,adaptive neural network control,neurocontrollers,delay systems,practical compact sets,control system synthesis,robust control,strict-feedback nonlinear systems,integral lyapunov function,unknown time delays,closed-loop system,delays,feedback,tracking error,practical robust control,adaptive control,robust neural network control,nonlinear control systems,semiglobally uniformly ultimate boundedness,uncertainty compensation,compensation,unknown system functions,closed loop systems,controller singularity problems,lyapunov methods,iterative backstepping design,iterative methods,design method,neural network,indexing terms,lyapunov function,nonlinear system
Lyapunov function,Control theory,Mathematical optimization,Backstepping,Nonlinear system,Control theory,Adaptive control,Robust control,Artificial neural network,Mathematics,Tracking error
Journal
Volume
Issue
ISSN
48
11
0018-9286
ISBN
Citations 
PageRank 
0-7803-7896-2
130
6.53
References 
Authors
12
3
Search Limit
100130
Name
Order
Citations
PageRank
Shuzhi Sam Ge117010.19
Hong, F.21306.53
Tong Heng Lee316713.24