Title :
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
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);
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
