Neural network inverse model control strategy: discrete-time stability analysis for relative order two systems
type: Item
instance of: scholarly article
title: Neural network inverse model control strategy: discrete-time stability analysis for relative order two systems
zbMATH Open document ID: 1406.93195
DOI: 10.1155/2014/645982
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov's direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study.
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 68T05
zbMATH DE Number: 7022817
zbMATH Keywords: neural network inverse model control
zbMATH Keywords: discrete-time stability
Wikidata QID: Q59040328
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/645982
OpenAlex ID: W2018071069
cites work: Approximation by superpositions of a sigmoidal function
cites work: Q4325437
cites work: Q4003793
cites work: New robust exponential stability results for discrete-time switched fuzzy neural networks with time delays
cites work: Adaptive control of discrete systems using neural networks
cites work: Hybrid neural control systems: Some stability properties
cites work: Q4457900
cites work: Neural-net computing and the intelligent control of systems
cites work: Neural networks for nonlinear internal model control
cites work: Q4325440
cites work: Q4325438
cites work: Q3996565
description: scientific article; zbMATH DE number 7022817