Title
Dynamic Learning From Adaptive Neural Control for Discrete-Time Strict-Feedback Systems
Abstract
This article first investigates the issue on dynamic learning from adaptive neural network (NN) control of discrete-time strict-feedback nonlinear systems. To verify the exponential convergence of estimated NN weights, an extended stability result is presented for a class of discrete-time linear time-varying systems with time delays. Subsequently, by combining the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$n$ </tex-math></inline-formula> -step-ahead predictor technology and backstepping, an adaptive NN controller is constructed, which integrates the novel weight updating laws with time delays and without the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\sigma $ </tex-math></inline-formula> modification. After ensuring the convergence of system output to a recurrent reference signal, the radial basis function (RBF) NN is verified to satisfy the partial persistent excitation condition. By the combination of the extended stability result, the estimated NN weights can be verified to exponentially converge to their ideal values. The convergent weight sequences are comprehensively represented and stored by constructing some elegant learning rules with some novel sequences and the mod function. The stored knowledge is used again to develop a neural learning control scheme. Compared with the traditional adaptive NN control, the proposed scheme can not only accomplish the same or similar tracking tasks but also greatly improve the transient control performance and alleviate the online computation. Finally, the validity of the presented scheme is illustrated by numerical and practical examples.
Year
DOI
Venue
2022
10.1109/TNNLS.2021.3054378
IEEE Transactions on Neural Networks and Learning Systems
Keywords
DocType
Volume
Algorithms,Computer Simulation,Feedback,Neural Networks, Computer,Nonlinear Dynamics
Journal
33
Issue
ISSN
Citations 
8
2162-237X
1
PageRank 
References 
Authors
0.35
43
4
Name
Order
Citations
PageRank
Min Wang17627.77
Haotian Shi210.35
Cong Wang357940.31
Jun Fu445131.90