Published August 30, 2009
| Version v1
Journal article
Impulsive stability of chaotic systems represented by T-S model
Creators
- 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.2008.07.052Additional 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.