Generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy

Shih Yu Li, Shi An Chen*, Chin Teng Lin, Li-Wei Ko, Cheng Hsiung Yang, Heng Hui Chen

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen's system, and Rossler's system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.

Original languageEnglish
Article number725674
JournalAbstract and Applied Analysis
Volume2015
DOIs
StatePublished - 1 Jan 2015

Fingerprint Dive into the research topics of 'Generalized synchronization of nonlinear chaotic systems through natural bioinspired controlling strategy'. Together they form a unique fingerprint.

  • Cite this