Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems
type: Item
instance of: scholarly article
title: Adaptive NN control for a class of strict-feedback discrete-time nonlinear systems
zbMATH Open document ID: 1023.93034
DOI: 10.1016/S0005-1098(03)00032-3
author: D. Massart
published in: Automatica
publication date: 2003-08-13T00:00:00Z
review text: The authors present both full state and output feedback adaptive neural network controllers for a class of strict-feedback discrete-time nonlinear systems, and they provide Lyapunov-based full-state adaptive neural network control via backstepping, which avoids the possible controller singularity problem in adaptive nonlinear control and solves the noncausal problem in the discrete-time backstepping design procedure. After the strict-feedback form is transformed into a cascade form, another relatively simple Lyapunov-based direct output feedback control is developed. The closed-loop systems for both control schemes are proven to be semi-globally uniformly ultimately bounded.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1963701
zbMATH Keywords: adaptive control
zbMATH Keywords: neural networks
zbMATH Keywords: discrete time systems
zbMATH Keywords: backstepping
zbMATH Keywords: ultimate boundedness
zbMATH Keywords: singularity problem
zbMATH Keywords: noncausal problem
zbMATH Keywords: strict-feedback form
zbMATH Keywords: cascade
zbMATH Keywords: output feedback
Wikidata QID: Q57527866
reviewed by: Jinde Cao
MaRDI profile type: Publication
cites work: Q3996810
cites work: Stable adaptive neural network control
cites work: Adaptive NN control for a class of discrete-time non-linear systems
cites work: Networks and the best approximation property
cites work: Q4864002
cites work: Neural networks for control systems - a survey
cites work: Systematic design of adaptive controllers for feedback linearizable systems
cites work: Robust adaptive control: Conditions for global stability
cites work: Adaptive nonlinear control without overparametrization
cites work: Robust semiglobal stabilization of minimum-phase input-output linearizable systems via partial state and output feedback
cites work: Nonlinear adaptive control of permanent magnet step motors
cites work: Q3995482
cites work: Long term memory storage capacity of multiconnected neural networks
cites work: Stable adaptive neural control scheme for nonlinear systems
cites work: Adaptive control of nonlinear systems with a triangular structure
cites work: Adaptive control of a class of nonlinear discrete-time systems
cites work: Feedback linearization using neural networks
cites work: Discrete-time robust backstepping adaptive control for nonlinear time-varying systems
full work available at URL: s0005-1098(03)00032-3
OpenAlex ID: W2117945258
description: scientific article; zbMATH DE number 1963701