Published August 30, 2009 | Version v1
Journal article

Impulsive stability of chaotic systems represented by T-S model

  • 1. School of Software Engineering, Chongqing University, Chongqing 400030 (China)
  • 2. Department of Mathematics, University of British Columbia, Vancouver BC, V6T 1Z2 (Canada)
  • 3. College of Mathematics and Physics, Chongqing University, Chongqing 400030 (China)

Description

In this paper, a novel and unified control approach that combines intelligent fuzzy logic methodology with impulsive control is developed for controlling a class of chaotic systems. We first introduce impulses into each subsystem of T-S fuzzy IF-THEN rules and then present a unified T-S impulsive fuzzy model for chaos control. Based on the new model, a simple and unified set of conditions for controlling chaotic systems is derived by Lyapunov method techniques and a design procedure for estimating bounds on control matrices is also given. These results are shown to be less conservative than those existing ones in the literature and several numerical examples are presented to illustrate the effectiveness of this method.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.chaos.2008.07.052

Additional details

Identifiers

DOI
10.1016/j.chaos.2008.07.052;
PII
S0960-0779(08)00342-1;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
41
Journal Issue
4
Journal Page Range
p. 1863-1869
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41020235
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
CHAOS THEORY; CONTROL THEORY; FUZZY LOGIC; LYAPUNOV METHOD; MATRICES; PULSES; STABILITY
Descriptors DEC
CALCULATION METHODS; MATHEMATICAL LOGIC; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.