Analysis of oscillation and stability for systems with piecewise linear components via saturation functions

被引：5
|
作者：
Hu, Tingshu [1 ]
Thibodeau, Thomas [1 ]
Teel, Andrew R. [2 ]
机构：
[1] Univ Massachusetts, Dept Elect & Comp Engn, Lowell, MA 01854 USA
[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA USA
来源：
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年
基金：
美国国家科学基金会;
关键词：
Self-induced oscillation; stability; piecewise linear systems; invariant set; piecewise quadratic function; ACTUATOR SATURATION; LYAPUNOV-FUNCTIONS;
D O I：
10.1109/ACC.2009.5160519
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 develops a unified Lyapunov approach to analysis of self-induced oscillations and stability for systems with piecewise linear components. For self-induced oscillation within a global or regional attractor, invariant level sets of a piecewise quadratic Lyapunov function are obtained to bound the attractor via linear matrix inequality based optimization. The analysis results for self-induced oscillations are easily adapted to global or regional stability analysis.
引用
收藏
页码：1911 / +
页数：2
相关论文
共 50 条
  • [41] An Analysis and Design Method for Actuator Saturation Linear Systems with Disturbance
    Chen Dongyan
    Wang Junming
    Zeng Xiaokang
    Shi Yujin
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 3044 - 3049
  • [42] A complete stability analysis of planar discrete-time linear systems under saturation
    Hu, TS
    Lin, ZL
    PROCEEDINGS OF THE 2001 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2001, : 4200 - 4205
  • [43] A complete stability analysis of planar discrete-time linear systems under saturation
    Hu, TS
    Lin, ZL
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (06): : 710 - 725
  • [44] 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
  • [45] Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
    Feng, G
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) : 22 - 28
  • [46] Stability analysis of discrete-time piecewise-linear systems: A generating function approach
    Kai Liu
    Jianghai Hu
    Yu Yao
    Baoqing Yang
    Xin Huo
    International Journal of Control, Automation and Systems, 2014, 12 : 1005 - 1010
  • [47] Stability Analysis of Discrete-Time Piecewise-Linear Systems: A Generating Function Approach
    Liu, Kai
    Hu, Jianghai
    Yao, Yu
    Yang, Baoqing
    Huo, Xin
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2014, 12 (05) : 1005 - 1010
  • [48] On Piecewise Quadratic Control-Lyapunov Functions for Switched Linear Systems
    Zhang, Wei
    Abate, Alessandro
    Vitus, Michael P.
    Hu, Jianghai
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1088 - 1093
  • [49] A team algorithm for robust stability analysis and control design of uncertain time-varying linear systems using piecewise quadratic Lyapunov functions
    Almeida, HLS
    Bhaya, A
    Falcao, DM
    Kaszkurewicz, E
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (04) : 357 - 371
  • [50] Stability analysis for continuous-time systems with actuator saturation
    Ting SHI
    Journal of Control Theory and Applications, 2009, 7 (04) : 352 - 358
12345