Stability and Stabilization Analysis of Fractional-Order Linear Systems Subject to Actuator Saturation and Disturbance

被引：7
|
作者：
Li, Chuang [1 ]
Chen, Kai [1 ]
Lu, Junguo [2 ,3 ]
Tang, Rongnian [1 ]
机构：
[1] Hainan Univ, Sch Mech & Elect Engn, Haikou 570228, Hainan, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[3] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stability; Fractioanl-Order Systems; Saturation; Disturbance; LMI; Domain of Attraction; INVARIANT SET;
D O I：
10.1016/j.ifacol.2017.08.2055
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 the fractional order linear systems subject to actuator saturation and external disturbance, and proposes method to estimate the domain of attraction. The quadratic Lyapunov functions are adopted to obtain the invariance of considered systems. The convex combination form of quadratic Lyapunov function is utilized to obtain a large domain of attraction. A continuous feedback law is derived to achieve disturbance rejection for closed-loop systems. Numerical example is provided to illustrate the effectiveness of the developed method. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：9718 / 9723
页数：6
相关论文
共 50 条
  • [41] Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control
    Shahri, Esmat Sadat Alaviyan
    Alfi, Alireza
    Tenreiro Machado, J. A.
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2017, 12 (03):
  • [42] Anti-windup scheme-based control for fractional-order systems subject to actuator and sensor saturation
    Sakthivel, R.
    Sweetha, S.
    Mohanapriya, S.
    Antony Crispin Sweety, C.
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2024, 53 (04) : 485 - 508
  • [43] Stabilization of Nonlinear Systems Subject to Actuator Saturation
    Bezzaoucha, Souad
    Marx, Benoit
    Maquin, Didier
    Ragot, Jose
    2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [44] Disturbance attenuation for linear systems subject to actuator saturation using output feedback
    Wu, Fen
    Zheng, Qian
    Lin, Zongli
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 7546 - 7551
  • [45] Stabilization with decay rate analysis for discrete-time linear systems subject to actuator saturation
    Ma, Yong-Mei
    Yang, Guang-Hong
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1887 - 1892
  • [46] Stability Analysis of Time-Delayed Linear Fractional-Order Systems
    Pakzad, Mohammad Ali
    Pakzad, Sara
    Nekoui, Mohammad Ali
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2013, 11 (03) : 519 - 525
  • [47] Stability and performance analysis of switched linear systems subject to time delays and actuator saturation
    Feng, Yiwei
    Cai, Yudan
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (12) : 2725 - 2736
  • [48] Stability analysis of time-delayed linear fractional-order systems
    Mohammad Ali Pakzad
    Sara Pakzad
    Mohammad Ali Nekoui
    International Journal of Control, Automation and Systems, 2013, 11 : 519 - 525
  • [49] Robust Stability Analysis of Fractional-Order Linear Systems with Polytopic Uncertainties
    Yang, Jing
    Hou, Xiaorong
    PROCEEDINGS OF ICRCA 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS, CONTROL AND AUTOMATION / ICRMV 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS AND MACHINE VISION, 2018, : 47 - 51
  • [50] Stability Analysis for Fractional-Order Linear Singular Delay Differential Systems
    Zhang, Hai
    Wu, Daiyong
    Cao, Jinde
    Zhang, Hui
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
12345