Takagi-Sugeno fuzzy receding horizon H∞ chaotic synchronization and its application to the Lorenz system

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29 Citations (Scopus)

Abstract

In this article, we propose a new . H∞ synchronization method for chaotic systems with external disturbance based on the Takagi-Sugeno (T-S) fuzzy model and receding horizon control. This synchronization method is called a Takagi-Sugeno fuzzy receding horizon . H∞ synchronization (TSFRHHS) method. A new set of matrix inequality conditions on the terminal weighting matrix is proposed for T-S fuzzy chaotic systems wherein non-increasing monotonicity of the optimal cost is guaranteed. Under this set of terminal inequality conditions, the proposed TSFRHHS method guarantees the infinite horizon . H∞ performance for T-S fuzzy chaotic systems with external disturbance. As an application of the proposed synchronization method, the TSFRHHS problem for the Lorenz system is investigated.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalNonlinear Analysis: Hybrid Systems
Volume9
Issue number1
DOIs
Publication statusPublished - 2013 Aug 1

Fingerprint

Chaotic Synchronization
Lorenz System
Horizon
Chaotic systems
Synchronization
Chaotic System
Fuzzy Systems
Disturbance
Receding Horizon Control
Takagi-Sugeno Fuzzy Model
Infinite Horizon
Weighting
Monotonicity
Matrix Inequality
Costs

Keywords

  • Cost monotonicity
  • H∞ chaos synchronization
  • Linear matrix inequality (LMI)
  • Receding horizon control (RHC)
  • Takagi-Sugeno (T-S) fuzzy model

ASJC Scopus subject areas

  • Computer Science Applications
  • Analysis
  • Control and Systems Engineering

Cite this

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abstract = "In this article, we propose a new . H∞ synchronization method for chaotic systems with external disturbance based on the Takagi-Sugeno (T-S) fuzzy model and receding horizon control. This synchronization method is called a Takagi-Sugeno fuzzy receding horizon . H∞ synchronization (TSFRHHS) method. A new set of matrix inequality conditions on the terminal weighting matrix is proposed for T-S fuzzy chaotic systems wherein non-increasing monotonicity of the optimal cost is guaranteed. Under this set of terminal inequality conditions, the proposed TSFRHHS method guarantees the infinite horizon . H∞ performance for T-S fuzzy chaotic systems with external disturbance. As an application of the proposed synchronization method, the TSFRHHS problem for the Lorenz system is investigated.",
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