Adaptive fuzzy bilinear feedback control design for synchronization of TS fuzzy bilinear generalized Lorenz system with uncertain parameters

被引：6
|
作者：
Baek, Jaeho [1 ]
机构：
[1] Yonsei Univ, Dept Elect & Elect Engn, ICS Lab B723, Seoul 120749, South Korea
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 17-18期
关键词：
Generalized Lorenz system; TS fuzzy bilinear model; Adaptive feedback control; Adaptive chaos synchronization; Lyapunov theory; SLIDING MODE CONTROL; CHAOTIC SYSTEMS; CANONICAL FORM; OBSERVER; CIRCUITS;
D O I：
10.1016/j.physleta.2010.02.014
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, we propose an adaptive fuzzy bilinear feedback control (FBFC) design for synchronization of Takagi-Sugeno (TS) fuzzy bilinear generalized Lorenz system (FBGLS) with uncertain parameters. The generalized Lorenz system (GLS) can be described to TS FBGLS. We design an adaptive synchronization scheme of the response system based on TS FBGLS, feedback control scheme and Lyapunov theory. Lyapunov theory is employed to guarantee the stability of error dynamic system and to derive the adaptive laws to estimate unknown parameters. Numerical example is given to demonstrate the validity of our proposed adaptive FBFC approach with comparative results for synchronization. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：1827 / 1834
页数：8
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