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- Title
NN approach to state-feedback control of high-order non-linear time-delay systems with time-varying control coefficient.
- Authors
Huifang, Min; Na, Duan
- Abstract
This paper considers the adaptive state-feedback control problem for a class of high-order non-linear systems with unknown control coefficient and time delays. By applying the neural network approximation method and the Nussbaum function approach, the restrictions on non-linear functions and the conditions on the time-varying control coefficient are largely relaxed. In addition, an adaptive neural network state-feedback controller with only one adaptive parameter is successfully constructed by introducing proper Lyapunov–Krasovskii functionals and using the backstepping technique. The proposed scheme guarantees the closed-loop system to be semi-globally uniformly ultimately bounded. Finally, a simulation example demonstrates the effectiveness of the controller.
- Subjects
ARTIFICIAL neural networks; STATE feedback (Feedback control systems); TIME delay systems; TIME-varying systems; NONLINEAR systems
- Publication
Transactions of the Institute of Measurement & Control, 2018, Vol 40, Issue 1, p163
- ISSN
0142-3312
- Publication type
Article
- DOI
10.1177/0142331216658508