A receding horizon control approach to synchronization for chaotic systems

Author

Ahn, Choon Ki ; Park, Jung Hun ; Song, Moon Kyu ; Lee, Chul Dong

Author_Institution

Div. of Electron. & Control Eng., Wonkwang Univ., Iksan, South Korea

fYear

2009

fDate

18-21 Aug. 2009

Firstpage

272

Lastpage

276

Abstract

In this paper, we propose a receding horizon control approach to synchronization for chaotic systems. A new matrix inequality condition on the terminal weighting matrix is proposed for 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 receding horizon synchronization (RHS) method for chaotic systems. As an application of the proposed method, the RHS problem for Chua´s chaotic system is investigated.

Keywords

closed loop systems; matrix algebra; nonlinear control systems; predictive control; stability; chaotic system; closed-loop stability; matrix inequality; receding horizon control; receding horizon synchronization method; terminal weighting matrix; Chaos; Control engineering; Control systems; Cost function; Feedback; Linear matrix inequalities; Moon; Nonlinear systems; Riccati equations; Stability; chaos synchronization; cost monotonicity; linear matrix inequality (LMI); receding horizon control (RHC);

fLanguage

English

Publisher

ieee

Conference_Titel

ICCAS-SICE, 2009

Conference_Location

Fukuoka

Print_ISBN

978-4-907764-34-0

Electronic_ISBN

978-4-907764-33-3

Type

conf

Filename

5332927