Back to Search Start Over

Stabilization of chaos systems described by nonlinear fractional-order polytopic differential inclusion.

Authors :
Balochian, Saeed
Sedigh, Ali Khaki
Source :
Chaos; Mar2012, Vol. 22 Issue 1, p013120, 8p, 3 Graphs
Publication Year :
2012

Abstract

In this paper, sliding mode control is utilized for stabilization of a particular class of nonlinear polytopic differential inclusion systems with fractional-order-0 < q < 1. This class of fractional order differential inclusion systems is used to model physical chaotic fractional order Chen and Lu systems. By defining a sliding surface with fractional integral formula, exploiting the concept of the state space norm, and obtaining sufficient conditions for stability of the sliding surface, a special feedback law is presented which enables the system states to reach the sliding surface and consequently creates a sliding mode control. Finally, simulation results are used to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10541500
Volume :
22
Issue :
1
Database :
Complementary Index
Journal :
Chaos
Publication Type :
Academic Journal
Accession number :
73928610
Full Text :
https://doi.org/10.1063/1.3683487