Finite-Time Stabilization of a Class of Chaotic Systems with Matched and Unmatched Uncertainties: An LMI Approach

被引：54
|
作者：
Mobayen, Saleh [1 ]
机构：
[1] Univ Zanjan, Dept Elect Engn, Zanjan, Iran
来源：
COMPLEXITY | 2016年 / 21卷 / 05期
关键词：
sliding mode control; finite-time control; chaotic system; linear matrix inequality; uncertainty; SLIDING MODE CONTROL; ADAPTIVE-CONTROL; NEURAL-NETWORK; SYNCHRONIZATION; CONTROLLER; DESIGN;
D O I：
10.1002/cplx.21624
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article investigates the sliding mode control method for a class of chaotic systems with matched and unmatched uncertain parameters. The proposed reaching law is established to guarantee the existence of the sliding mode around the sliding surface in a finite-time. Based on the Lyapunov stability theory, the conditions on the state error bound are expressed in the form of linear matrix inequalities. Simulation results for the well-known Genesio's chaotic system are provided to illustrate the effectiveness of the proposed scheme. (C) 2014 Wiley Periodicals, Inc.
引用
收藏
页码：14 / 19
页数：6
相关论文
共 50 条
  • [41] Finite-time stabilization for a class of nonlinear switched time-delay systems
    Wang, Ruihua
    Zong, Guandeng
    Hou, Linlin
    PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1826 - 1831
  • [42] Finite-time stabilization of a perturbed chaotic finance model
    Ahmad, Israr
    Ouannas, Adel
    Shafiq, Muhammad
    Pham, Viet-Thanh
    Baleanu, Dumitru
    JOURNAL OF ADVANCED RESEARCH, 2021, 32 : 1 - 14
  • [43] Finite-time Stabilization for a Class of Fractional-Delay Nonlinear Systems
    Yang Renming
    Wang Yuzhen
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 640 - 645
  • [44] Non-smooth finite-time stabilization for a class of nonlinear systems
    Hong, YG
    Wang, JK
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (01): : 80 - 89
  • [45] Global Finite-Time Stabilization of a Class of Upper-Triangular Systems
    Ding, Shihong
    Qian, Chunjiang
    Li, Shihua
    2010 AMERICAN CONTROL CONFERENCE, 2010, : 4223 - 4228
  • [46] Finite-time saturated stabilization for a class of nonlinear systems with dynamic feedback
    Zhang, Heng-Jun
    Wang, Chao-Li
    Chen, Hua
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2013, 30 (03): : 355 - 359
  • [47] Non-smooth finite-time stabilization for a class of nonlinear systems
    HONG Yiguang&WANG Jiankui Lab of Systems and Control
    ScienceinChina(SeriesF:InformationSciences), 2006, (01) : 80 - 89
  • [48] Finite-Time Stabilization of a Class of Uncertain Nonholonomic Systems with Output Constraint
    Gao, Fangzheng
    Shang, Yanling
    Liu, Yanhong
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 1235 - 1240
  • [49] Finite-time stabilization of a class of output-constrained nonlinear systems
    Ma, Ruicheng
    Liu, Yan
    Zhao, Shengzhi
    Fu, Jun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (12): : 5968 - 5984
  • [50] Finite-Time Stabilization of a Class of T-S Fuzzy Systems
    Li, Yue
    Liu, Lu
    Feng, Gang
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017, 25 (06) : 1824 - 1829
12345