Adaptive stabilization of neutral systems with nonlinear perturbations and mixed time-varying delays

被引：14
作者：
Tahoun, A. H. [1 ,2 ]
机构：
[1] Tanta Univ, Dept Comp & Control Engn, Fac Engn, Tanta, Egypt
[2] Albaha Univ, Dept Comp Sci, Fac Comp Sci & Informat Technol, Albaha, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2015年 / 29卷 / 10期
关键词：
adaptive control; neutral systems; delays; nonlinear perturbations; Lyapunov's stability; DEPENDENT ROBUST STABILITY; NEURAL-NETWORKS; H-INFINITY; CRITERION;
D O I：
10.1002/acs.2545
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 addresses the stabilization problem of neutral systems. The neutral systems assumed to be subjected to nonlinear perturbations and mixed time-varying delays. Specifically, the adaptive control method is used to stabilize the unknown neutral systems. If the system states and the delayed states with its derivatives are available for measurement, a new and less conservative adaptive control algorithm is proposed, and sufficient conditions for the existence of the adaptive control are derived based on Lyapunov's stability theory. The main idea is to make all the stability conditions of the system depend on desired arbitrary matrices, not on the given system matrices. This is accomplished by the adaptation process. Illustrative examples with numerical simulations are studied. The simulation results show the effectiveness of the proposed design methods. Copyright (c) 2015 John Wiley & Sons, Ltd.
引用
收藏
页码：1328 / 1340
页数：13
相关论文
共 30 条
  • [1] Observer-based model reference adaptive control for unknown time-delay chaotic systems with input nonlinearity
    Adloo, Hassan
    Noroozi, Navid
    Karimaghaee, Paknosh
    [J]. NONLINEAR DYNAMICS, 2012, 67 (02) : 1337 - 1356
  • [2] New result on exponential stability for neutral stochastic linear system with time-varying delay
    Chen, Huabin
    Wang, Liu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 : 320 - 325
  • [3] Delay-dependent robust L2-L∞ filter design for uncertain neutral stochastic systems with mixed delays
    Chen, Huabin
    Wang, Liu
    [J]. DIGITAL SIGNAL PROCESSING, 2014, 30 : 184 - 194
  • [4] New mixed-delay-dependent robust stability conditions for uncertain linear neutral systems
    Chen, Yonggang
    Fei, Shumin
    Gu, Zhou
    Li, Yongmin
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (08) : 606 - 613
  • [5] Novel delay-dependent robust stability criteria for neutral systems with mixed time-varying delays and nonlinear perturbations
    Cheng, Jun
    Zhu, Hong
    Zhong, Shouming
    Li, Guihua
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7741 - 7753
  • [6] Fukui K, 2013, 2013 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION (ICMA), P1475, DOI 10.1109/ICMA.2013.6618131
  • [7] Robust stabilization for uncertain switched neutral systems with interval time-varying mixed delays
    Ghadiri, Hamid
    Jahed-Motlagh, Mohammad Reza
    Yazdi, Mojtaba Barkhordari
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 13 : 2 - 21
  • [8] Hale J., 1993, Introduction to Functional Differential Equations, DOI [10.1007/978-1-4612-4342-7, DOI 10.1007/978-1-4612-4342-7]
  • [9] Han QL, 2004, P AMER CONTR CONF, P2027
  • [10] Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
    He, Y
    Wu, M
    She, JH
    Liu, GP
    [J]. SYSTEMS & CONTROL LETTERS, 2004, 51 (01) : 57 - 65
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