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A Unified Approach to Adaptive Neural Control for Nonlinear Discrete-Time Systems With Nonlinear Dead-Zone Input
Liu Y.-J.; Gao Y.; Tong S.; Chen C.L.P.
2016
Source PublicationIEEE Transactions on Neural Networks and Learning Systems
ISSN2162237X
Volume27Issue:1Pages:139
AbstractIn this paper, an effective adaptive control approach is constructed to stabilize a class of nonlinear discrete-time systems, which contain unknown functions, unknown dead-zone input, and unknown control direction. Different from linear dead zone, the dead zone, in this paper, is a kind of nonlinear dead zone. To overcome the noncausal problem, which leads to the control scheme infeasible, the systems can be transformed into a m-step-ahead predictor. Due to nonlinear dead-zone appearance, the transformed predictor still contains the nonaffine function. In addition, it is assumed that the gain function of dead-zone input and the control direction are unknown. These conditions bring about the difficulties and the complicacy in the controller design. Thus, the implicit function theorem is applied to deal with nonaffine dead-zone appearance, the problem caused by the unknown control direction can be resolved through applying the discrete Nussbaum gain, and the neural networks are used to approximate the unknown function. Based on the Lyapunov theory, all the signals of the resulting closed-loop system are proved to be semiglobal uniformly ultimately bounded. Moreover, the tracking error is proved to be regulated to a small neighborhood around zero. The feasibility of the proposed approach is demonstrated by a simulation example. © 2015 IEEE.
KeywordAdaptive control discrete Nussbaum gain discrete-time systems unknown control direction.
DOI10.1109/TNNLS.2015.2471262
URLView the original
Language英语
The Source to ArticleScopus
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Cited Times [WOS]:65   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Recommended Citation
GB/T 7714
Liu Y.-J.,Gao Y.,Tong S.,et al. A Unified Approach to Adaptive Neural Control for Nonlinear Discrete-Time Systems With Nonlinear Dead-Zone Input[J]. IEEE Transactions on Neural Networks and Learning Systems,2016,27(1):139.
APA Liu Y.-J.,Gao Y.,Tong S.,&Chen C.L.P..(2016).A Unified Approach to Adaptive Neural Control for Nonlinear Discrete-Time Systems With Nonlinear Dead-Zone Input.IEEE Transactions on Neural Networks and Learning Systems,27(1),139.
MLA Liu Y.-J.,et al."A Unified Approach to Adaptive Neural Control for Nonlinear Discrete-Time Systems With Nonlinear Dead-Zone Input".IEEE Transactions on Neural Networks and Learning Systems 27.1(2016):139.
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