Title
Adaptive Control of Uncertain Nonaffine Nonlinear Systems With Input Saturation Using Neural Networks.
Abstract
This paper presents a tracking control methodology for a class of uncertain nonlinear systems subject to input saturation constraint and external disturbances. Unlike most previous approaches on saturated systems, which assumed affine nonlinear systems, in this paper, tracking control problem is solved for uncertain nonaffine nonlinear systems with input saturation. To deal with the saturation constraint, an auxiliary system is constructed and a modified tracking error is defined. Then, by employing implicit function theorem, mean value theorem, and modified tracking error, updating rules are derived based on the well-known back-propagation (BP) algorithm, which has been proven to be the most relevant updating rule to control problems. However, most of the previous approaches on BP algorithm suffer from lack of stability analysis. By injecting a damping term to the standard BP algorithm, uniformly ultimately boundedness of all the signals of the closed-loop system is ensured via Lyapunov's direct method. Furthermore, the presented approach employs nonlinear in parameter neural networks. Hence, the proposed scheme is applicable to systems with higher degrees of nonlinearity. Using a high-gain observer to reconstruct the states of the system, an output feedback controller is also presented. Finally, the simulation results performed on a Duffing-Holmes chaotic system, a generalized pendulum-type system, and a numerical system are presented to demonstrate the effectiveness of the suggested state and output feedback control schemes.
Year
DOI
Venue
2015
10.1109/TNNLS.2014.2378991
IEEE transactions on neural networks and learning systems
Keywords
Field
DocType
neural networks (nns),input constraints,adaptive control,nonaffine nonlinear systems.,back-propagation (bp) algorithm,vectors,algorithm design and analysis,nonlinear systems,stability analysis,artificial neural networks
Lyapunov function,Nonlinear system,Algorithm design,Nonlinear control,Computer science,Control theory,Adaptive control,Observer (quantum physics),Artificial neural network,Tracking error
Journal
Volume
Issue
ISSN
PP
99
2162-2388
Citations 
PageRank 
References 
12
0.61
24
Authors
3
Name
Order
Citations
PageRank
Kasra Esfandiari1221.51
Farzaneh Abdollahi221217.16
Heidar Ali Talebi317632.23