Takagi-Sugeno fuzzy receding horizon H-infinity chaotic synchronization and its application to the Lorenz system
- Authors
- Ahn, Choon Ki
- Issue Date
- 8월-2013
- Publisher
- ELSEVIER SCI LTD
- Keywords
- H-infinity chaos synchronization; Receding horizon control (RHC); Takagi-Sugeno (T-S) fuzzy model; Cost monotonicity; Linear matrix inequality (LMI)
- Citation
- NONLINEAR ANALYSIS-HYBRID SYSTEMS, v.9, pp.1 - 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- NONLINEAR ANALYSIS-HYBRID SYSTEMS
- Volume
- 9
- Start Page
- 1
- End Page
- 8
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/102633
- DOI
- 10.1016/j.nahs.2013.01.002
- ISSN
- 1751-570X
- Abstract
- In this article, we propose a new H-infinity 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-infinity 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-infinity. 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. (C) 2013 Elsevier Ltd. All rights reserved.
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