Abstract | ||
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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 |
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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 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shuzhi Sam Ge | 1 | 170 | 10.19 |
Hong, F. | 2 | 130 | 6.53 |
Tong Heng Lee | 3 | 167 | 13.24 |