T-S fuzzy synchronization of chaotic systems via receding horizon control

Author

Ahn, Choon Ki ; Song, Moon Kyou ; Lee, Chul Dong

Author_Institution

Dept. of Automotive Eng., Seoul Nat. Univ. of Technol., Seoul, South Korea

fYear

2010

Firstpage

209

Lastpage

213

Abstract

This paper proposes a new synchronization method for Takagi-Sugeno (T-S) fuzzy chaotic systems via receding horizon control. A matrix inequality condition on the terminal weighting matrix is proposed for T-S fuzzy chaotic systems under which nonincreasing monotonicity of the optimal cost is guaranteed. It is shown that the proposed terminal inequality condition guarantees the closed-loop stability of the fuzzy receding horizon synchronization (FRHS) method for chaotic systems. As an application of the proposed method, the FRHS problem for the Lorenz system is investigated.

Keywords

chaos; closed loop systems; fuzzy control; linear matrix inequalities; nonlinear control systems; predictive control; stability; synchronisation; Lorenz system; T-S fuzzy synchronization; chaotic systems; closed loop stability; fuzzy receding horizon synchronization method; horizon control; matrix inequality condition; terminal weighting matrix; Asymptotic stability; Biological system modeling; Chaotic communication; Linear matrix inequalities; Stability analysis; Synchronization; Takagi-Sugeno (T-S) fuzzy model; chaos synchronization; cost monotonic-ity; linear matrix inequality (LMI); receding horizon control (RHC);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Automation and Systems (ICCAS), 2010 International Conference on

Conference_Location

Gyeonggi-do

Print_ISBN

978-1-4244-7453-0

Electronic_ISBN

978-89-93215-02-1

Type

conf

Filename

5669886