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Journal ArticleDOI

Wavelet Adaptive Backstepping Control for a Class of Nonlinear Systems

TLDR
Simulation results verify that the proposed WABC can achieve favorable tracking performance by incorporating of WNN identification, adaptive backstepping control, and L2 robust control techniques.
Abstract
This paper proposes a wavelet adaptive backstepping control (WABC) system for a class of second-order nonlinear systems. The WABC comprises a neural backstepping controller and a robust controller. The neural backstepping controller containing a wavelet neural network (WNN) identifier is the principal controller, and the robust controller is designed to achieve L2 tracking performance with desired attenuation level. Since the WNN uses wavelet functions, its learning capability is superior to the conventional neural network for system identification. Moreover, the adaptation laws of the control system are derived in the sense of Lyapunov function and Barbalat's lemma, thus the system can be guaranteed to be asymptotically stable. The proposed WABC is applied to two nonlinear systems, a chaotic system and a wing-rock motion system to illustrate its effectiveness. Simulation results verify that the proposed WABC can achieve favorable tracking performance by incorporating of WNN identification, adaptive backstepping control, and L2 robust control techniques

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Citations
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Journal ArticleDOI

A Recurrent Neural-Network-Based Sensor and Actuator Fault Detection and Isolation for Nonlinear Systems With Application to the Satellite's Attitude Control Subsystem

TL;DR: A robust fault detection and isolation (FDI) scheme for a general class of nonlinear systems using a neural-network-based observer strategy and requires no restrictive assumptions on the system and/or the FDI algorithm.
Journal ArticleDOI

Adaptive Tracking for Periodically Time-Varying and Nonlinearly Parameterized Systems Using Multilayer Neural Networks

TL;DR: This brief addresses the problem of designing adaptive neural network tracking control for a class of strict-feedback systems with unknown time-varying disturbances of known periods which nonlinearly appear in unknown functions.
Journal ArticleDOI

Self-Organizing Adaptive Fuzzy Neural Control for a Class of Nonlinear Systems

TL;DR: Simulation results show that the SAFNC can achieve favorable tracking performances and all the parameter learning algorithms are derived based on Lyapunov function candidate, thus the system stability can be guaranteed.
Journal ArticleDOI

Observer-based decentralized fuzzy neural sliding mode control for interconnected unknown chaotic systems via network structure adaptation

TL;DR: An observer-based fuzzy neural sliding mode control scheme for interconnected unknown chaotic systems is developed and can avoid the time-consuming trial-and-error tuning procedure for determining the network structure of fuzzy neural network.
Journal ArticleDOI

Adaptive Neural Control of MIMO Nonstrict-Feedback Nonlinear Systems With Time Delay

TL;DR: The main contributions of this paper lie in that the systems under consideration are more general, and an effective design procedure of output-feedback controller is developed for the considered systems, which is more applicable in practice.
References
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Book

Applied Nonlinear Control

TL;DR: Covers in a progressive fashion a number of analysis tools and design techniques directly applicable to nonlinear control problems in high performance systems (in aerospace, robotics and automotive areas).
Journal ArticleDOI

Stable adaptive neural control scheme for nonlinear systems

TL;DR: A design methodology is developed that expands the class of nonlinear systems that adaptive neural control schemes can be applied to and relaxes some of the restrictive assumptions that are usually made.
Journal ArticleDOI

Neural network-based adaptive dynamic surface control for a class of uncertain nonlinear systems in strict-feedback form

TL;DR: A backstepping based control design for a class of nonlinear systems in strict-feedback form with arbitrary uncertainty is developed and is able to eliminate the problem of "explosion of complexity" inherent in the existing method.
Journal ArticleDOI

Using wavelet network in nonparametric estimation

TL;DR: Algorithms for wavelet network construction are proposed for the purpose of nonparametric regression estimation and particular attentions are paid to sparse training data so that problems of large dimension can be better handled.
Journal ArticleDOI

H/sup /spl infin// tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach

TL;DR: Computer simulation results confirm that the effect of both the fuzzy approximation error and external disturbance on the tracking error can be attenuated efficiently by the proposed adaptive fuzzy control algorithm.