Published October 22, 2007 | Version v1
Journal article Metadata-only

T-S fuzzy model-based impulsive control of chaotic systems with exponential decay rate

Creators

  • 1. Institute of Electrical and Information Engineering, Southwest University for Nationalities of China, Chengdu, Sichuan 610041 (China)
  • 2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054 (China)
  • 3. College of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054 (China)

Description

This Letter proposes a new method for controlling chaos. We first represent chaotic systems as Takagi-Sugeno (T-S) model-based fuzzy systems, and provide a general exponential stability criterion for such systems under impulsive control. Then we express this criterion in some special cases in terms of linear matrix inequalities, based on which a general procedure is developed to compute impulsive control laws for chaotic systems. It is important to see that the main result and the procedure are applicable to any continuous-time autonomous chaotic system, and that the procedure is easy to be implemented algorithmically

Availability note (English)

Available from http://dx.doi.org/10.1016/j.physleta.2007.05.059

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.05.059;
PII
S0375-9601(07)00798-0;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
370
Journal Issue
3-4
Journal Page Range
p. 260-264
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39083844
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CHAOS THEORY; CONTROL; DECAY; FUZZY LOGIC; MATHEMATICAL MODELS; MATRICES; STABILITY
Descriptors DEC
MATHEMATICAL LOGIC; MATHEMATICS

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.