New Methods of Fuzzy Sampled-Data Control for Stabilization of Chaotic Systems

被引:147
作者
Lee, Tae H. [1 ,2 ]
Park, Ju H. [1 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Kyongsan 38541, South Korea
[2] Deakin Univ, Inst Intelligent Syst Res & Innovat, Geelong Waurn Ponds Campus, Geelong, Vic 3220, Australia
来源
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2018年 / 48卷 / 12期
基金
新加坡国家研究基金会;
关键词
Chaotic system; discontinuous Lyapunov functional; sampled-data control; Takagi-Sugeno (T-S) fuzzy systems; SYNCHRONIZATION;
D O I
10.1109/TSMC.2017.2690803
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper focuses on developing new design methods of the sampled-data controller for chaotic systems which are represented as Takagi-Sugeno (T-S) fuzzy models. Two novel approaches, sampling-instant-to-present-time frag-mentation and free-matrix-based time-dependent discontinuous Lyapunov approach, are proposed for the first time. Based on the two new approaches, the T-S fuzzy sampled-data controller is designed for stabilization of chaotic systems under large sampling period. The superiority of proposed results is shown by a numerical example.
引用
收藏
页码:2026 / 2034
页数:9
相关论文
共 24 条
[1]  
[Anonymous], 1994, Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering, DOI 9780738204536
[2]   Convergence and Equivalence Results for the Jensen's Inequality-Application to Time-Delay and Sampled-Data Systems [J].
Briat, Corentin .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (07) :1660-1665
[3]  
Chen G., 1998, From Chaos to Order: Methodologies, Perspectives and Applications
[4]   A refined input delay approach to sampled-data control [J].
Fridman, Emilia .
AUTOMATICA, 2010, 46 (02) :421-427
[5]   Mental Models Analysis and Comparison Based on Fuzzy Rules: A Case Study of the Protests of June and July 2013 in Brazil [J].
Garcia-Nunes, Pedro Ivo ;
Souza, Romulo M. ;
da Silva, Ana Estela A. .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (08) :2021-2033
[6]   Fault Estimation for Fuzzy Delay Systems: A Minimum Norm Least Squares Solution Approach [J].
Huang, Sheng-Juan ;
Yang, Guang-Hong .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (09) :2389-2399
[7]   Adaptive synchronization of uncertain chaotic systems based on T-S fuzzy model [J].
Kim, Jae-Hun ;
Hyun, Chang-Ho ;
Kim, Euntai ;
Park, Mignon .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (03) :359-369
[8]   Stabilization of chaotic systems using linear sampled-data controller [J].
Lam, H. K. ;
Leung, F. H. F. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (06) :2021-2031
[9]   Leader- Following Consensus Problem of Heterogeneous Multi- Agent Systems with Nonlinear Dynamics Using Fuzzy Disturbance Observer [J].
Lee, Tae H. ;
Park, Ju H. ;
Ji, D. H. ;
Jung, H. Y. .
COMPLEXITY, 2014, 19 (04) :20-31
[10]   Robust synchronisation of chaotic systems with randomly occurring uncertainties via stochastic sampled-data control [J].
Lee, Tae H. ;
Park, Ju H. ;
Lee, S. M. ;
Kwon, O. M. .
INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (01) :107-119