Stability analysis of a class of PWM systems

被引:32
|
作者
Almer, Stefan [1 ]
Jonsson, Ulf
Kao, Chung-Yao
Mari, Jorge
机构
[1] Royal Inst Technol, Div Optimizat & Syst Theory, Dept Math, S-10044 Stockholm, Sweden
[2] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia
[3] GE Global Res, Elect Energy Syst, D-85748 Munich, Germany
基金
澳大利亚研究理事会;
关键词
dc-dc converter; Lyapunov methods; pulsewidth modulated (PWM) systems; sampled data modeling; stability analysis;
D O I
10.1109/TAC.2007.899082
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 note considers stability analysis of a class of pulsewidth modulated (PWM) systems that incorporates several different switched mode dc-de- converters. The systems of the class typically have periodic solutions. A sampled data model is developed and used to prove stability of these solutions. Conditions for global and local exponential stability are derived using quadratic and piecewise quadratic Lyapunov functions. The state space is partitioned and the stability conditions are verified by checking a set of coupled linear matrix inequalities (LMIs).
引用
收藏
页码:1072 / 1078
页数:7
相关论文
共 50 条
  • [21] Stability analysis of a class of nonlinear mechanical control systems
    Luo, Hongying
    2018 INTERNATIONAL SEMINAR ON COMPUTER SCIENCE AND ENGINEERING TECHNOLOGY (SCSET 2018), 2019, 1176
  • [22] Stability and Robustness Analysis of a Class of Cyclic Biological Systems
    Ahsen, Mehmet Eren
    Ozbay, Hitay
    Niculescu, Silviu-Iulian
    TIME DELAY SYSTEMS: THEORY, NUMERICS, APPLICATIONS, AND EXPERIMENTS, 2017, 7 : 155 - 168
  • [23] Stability analysis for a class of switched nonlinear systems with perturbations
    Xiang, Zheng-Rong
    Xiang, Wei-Ming
    Chen, Qing-Wei
    Kongzhi yu Juece/Control and Decision, 2008, 23 (01): : 84 - 86
  • [24] Stability analysis of a general class of hybrid dynamical systems
    Hou, L
    Michel, AN
    PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 2805 - 2809
  • [25] Integrative Stability Analysis for A Class of Intelligent Control Systems
    Qin Shiyin(Institute of Systems Engineering
    Journal of Systems Engineering and Electronics, 1996, (04) : 13 - 18
  • [26] Stability analysis and development of a class of fuzzy control systems
    Precup, RE
    Doboli, S
    Preitl, S
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2000, 13 (03) : 237 - 247
  • [27] Stability and Convergence Analysis for a Class of Nonlinear Passive Systems
    Konstantopoulos, George C.
    Alexandridis, Antonio T.
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1753 - 1758
  • [28] Stability and Bifurcation Analysis of a Class of Networked Dynamical Systems
    Zhang, Guofeng
    Zheng, Wei Xing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2009, 56 (08) : 664 - 668
  • [29] Stability Analysis for a Class of Affine Nonlinear Singular Systems
    Wang, Wentao
    Sun, Tong
    Li, Yuan
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 1349 - 1353
  • [30] Definition and analysis of stability margins for a class of nonlinear systems
    Das, Siddharth Sankar
    Shtessel, Yuri
    Zhang, Cheng
    Plestan, Franck
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 32 (02) : 1055 - 1074