Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control
type: Item
instance of: scholarly article
title: Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control
zbMATH Open document ID: 1426.93143
DOI: 10.1155/2017/7307452
author: Karthikeyan Rajagopal
author: Laarem Guessas
author: Anitha Karthikeyan
author: Ashokkumar Srinivasan
author: Sundarapandian Vaidyanathan
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: We announce a new 4D hyperchaotic system with four parameters. The dynamic properties of the proposed hyperchaotic system are studied in detail; the Lyapunov exponents, Kaplan-Yorke dimension, bifurcation, and bicoherence contours of the novel hyperchaotic system are derived. Furthermore, control algorithms are designed for the complete synchronization of the identical hyperchaotic systems with unknown parameters using sliding mode controllers and genetically optimized PID controllers. The stabilities of the controllers and parameter update laws are proved using Lyapunov stability theory. Use of the optimized PID controllers ensures less time of convergence and fast synchronization speed. Finally the proposed novel hyperchaotic system is realized in FPGA.
Mathematics Subject Classification ID: 93C40
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 6972441
Wikidata QID: Q59147749
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7307452
OpenAlex ID: W2588335543
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description: scientific article; zbMATH DE number 6972441