Design of PDC controllers by matrix reversibility for synchronization of Yin and Yang chaotic Takagi-Sugeno fuzzy Hénon maps
type: Item
instance of: scholarly article
title: Design of PDC controllers by matrix reversibility for synchronization of Yin and Yang chaotic Takagi-Sugeno fuzzy Hénon maps
zbMATH Open document ID: 1256.93052
DOI: 10.1155/2012/358201
author: Chun-Yen Ho
author: Hsien-Keng Chen
author: Zheng-Ming Ge
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper investigates the synchronization of Yin and Yang chaotic T-S fuzzy Henon maps via PDC controllers. Based on the Chinese philosophy, Yin is the decreasing, negative, historical, or feminine principle in nature, while Yang is the increasing, positive, contemporary, or masculine principle in nature. Yin and Yang are two fundamental opposites in Chinese philosophy. The Henon map is an invertible map; so the Henon maps with increasing and decreasing argument can be called the Yang and Yin Henon maps, respectively. Chaos synchronization of Yin and Yang T-S fuzzy Henon maps is achieved by PDC controllers. The design of PDC controllers is based on the linear invertible matrix theory. The T-S fuzzy model of Yin and Yang Henon maps and the design of PDC controllers are novel, and the simulation results show that the approach is effective.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 6134068
Wikidata QID: Q58696399
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/358201
OpenAlex ID: W2077844103
cites work: Chaos synchronization of Lü dynamical system
cites work: Dynamic modeling of chaos and turbulence
cites work: Q4885523
cites work: Chaos and hypercyclicity for solution semigroups to some partial differential equations
cites work: Yang and yin parameters in the Lorenz system
cites work: Synchronization in chaotic systems
cites work: Cryptanalysis of a discrete-time synchronous chaotic encryption system
cites work: Synchronization of discrete-time spatiotemporal chaos via adaptive fuzzy control.
cites work: Adaptive synchronization of globally coupled chaotic oscillators using control in noisy environments
cites work: Robust communication via chaotic synchronization based on contraction maps
cites work: Fuzzy identification of systems and its applications to modeling and control
cites work: A unified approach to controlling chaos via an LMI-based fuzzy control system design
cites work: Controlling chaos in permanent magnet synchronous motor control system via fuzzy guaranteed cost controller
cites work: Strange attractors and chaotic motions of dynamical systems
cites work: A two-dimensional mapping with a strange attractor
cites work: Q3157814
cites work: Regular and chaotic dynamics.
description: scientific article; zbMATH DE number 6134068