Title :
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
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);
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
