Generalized synchronization for uncertain chaotic systems with different dimensions via adaptive fuzzy controller

Author

Lili Zhang ; Yinhe Wang

Author_Institution

Sch. of Appl. Math., Guangdong Univ. of Technol., Guangzhou, China

fYear

2015

fDate

23-25 May 2015

Firstpage

382

Lastpage

387

Abstract

The design of the generalized synchronization (GS) controller for the uncertain drive-response chaotic systems is investigated in this paper. The drive and response system models in this paper may possess different dimensions, unknown nonlinear structures and disturbances. Distinguished from the existing contributions, this paper applies the fuzzy logic system to approximate the unknown norm bound function of the uncertain structure. Therefore, only two fuzzy logic systems are needed to synthesize the adaptive GS controller for the drive and response systems no matter how many unknown nonlinear functions are there in their structures. A numerical example is given to verify the effectiveness of our theoretical result in this paper.

Keywords

adaptive control; chaos; control system synthesis; fuzzy control; fuzzy logic; nonlinear control systems; synchronisation; uncertain systems; adaptive GS controller synthesis; adaptive fuzzy controller; fuzzy logic system; generalized synchronization controller; uncertain drive-response chaotic system model; uncertain structure; unknown nonlinear structure function; unknown norm bound function; Adaptation models; Adaptive systems; Chaotic communication; Drives; Fuzzy logic; Synchronization; Adaptive Fuzzy Control; Chaotic Systems; Different Dimensions; Generalized Synchronization; Uncertainties;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7161722

Filename

7161722