Neural network-based digital redesign approach for control of unknown continuous-time chaotic systems

Jose I. Canelon, Leang S. Shieh, Shu-Mei Guo, Heidar A. Malki

Research output: Contribution to journalArticle

Abstract

This paper presents a neural network-based digital redesign approach for digital control of continuous-time chaotic systems with unknown structures and parameters. Important features of the method are that: (i) it generalizes the existing optimal linearization approach for the class of state-space models which are nonlinear in the state but linear in the input, to models which are nonlinear in both the state and the input; (ii) it develops a neural network-based universal optimal linear state-space model for unknown chaotic systems; (iii) it develops an anti-digital redesign approach for indirectly estimating an analog control law from a fast-rate digital control law without utilizing the analog models. The estimated analog control law is then converted to a slow-rate digital control law via the prediction-based digital redesign method; (iv) it develops a linear time-varying piecewise-constant low-gain tracker which can be implemented using micro-processors. Illustrative examples are presented to demonstrate the effectiveness of the proposed methodology.

Original languageEnglish
Pages (from-to)2433-2455
Number of pages23
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume15
Issue number8
DOIs
Publication statusPublished - 2005 Jan 1

Fingerprint

Digital Redesign
Digital Control
Chaotic systems
Continuous-time Systems
Chaotic System
Rate Control
State-space Model
Neural Networks
Analogue
Neural networks
Unknown
Microprocessor
Linear Space
Linearization
Linear Time
Linear Model
Time-varying
Generalise
Methodology
Prediction

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

Cite this

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Neural network-based digital redesign approach for control of unknown continuous-time chaotic systems. / Canelon, Jose I.; Shieh, Leang S.; Guo, Shu-Mei; Malki, Heidar A.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 15, No. 8, 01.01.2005, p. 2433-2455.

Research output: Contribution to journalArticle

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