Stabilisation and L2-gain analysis for a class of uncertain switched non-linear systems

被引：16
|
作者：
Wang, Min [1 ]
Zhao, Jun [1 ,2 ]
Dimirovski, Georgi M. [3 ]
机构：
[1] Northeastern Univ, Key Lab Integrated Automat Proc Ind, Minist Educ, Shenyang 110004, Peoples R China
[2] Australian Natl Univ, Dept Informat Engn, Res Sch Informat Sci & Engn, Canberra, ACT 0200, Australia
[3] Dogus Univ, Dept Comp Engn, TR-34722 Istanbul, Turkey
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2009年 / 40卷 / 10期
关键词：
switching systems; H-infinity control; switched non-linear cascade systems; exponential stability; piecewise Lyapunov function; average dwell-time method; L-2-gain; DELAY SYSTEMS; STABILITY;
D O I：
10.1080/00207720902974686
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 article is concerned with the problem of stabilisation and L-2-gain analysis for a class of switched non-linear systems with norm-bounded time-varying uncertainties. A system in this class is composed of two parts: an uncertain linear switched part and a non-linear part, which are also switched systems. When all the subsystems are stabilisable and have an L-2-gain, the switched feedback control law and the switching law are designed respectively using average dwell-time method such that the corresponding closed-loop switched system is exponentially stable and achieves a weighted L-2-gain.
引用
收藏
页码：1077 / 1085
页数：9
相关论文
共 50 条
  • [21] Robust Stabilization and L2-Gain Analysis for Uncertain Switched Systems with Time-Varying Delay
    Zhang Xiaoli
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 99 - 104
  • [22] Stabilisation for a class of non-linear systems with uncertain parameter based on centre manifold
    Cai, X.
    Han, Z.
    Huang, J.
    IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (09): : 1558 - 1568
  • [23] Stabilization and L2-Gain Control for Switched Linear Systems with Actuator Saturation
    Chen Yonggang
    Xin Yunbing
    Fei Shumin
    Zhang Kanjian
    PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 2140 - 2145
  • [24] L2-Gain analysis and control synthesis of uncertain discrete-time switched linear systems with time delay and actuator saturation
    Zhang, Xinquan
    Zhao, Jun
    Dimirovski, Georgi M.
    INTERNATIONAL JOURNAL OF CONTROL, 2011, 84 (10) : 1746 - 1758
  • [25] Non-weighted l2/L2-gain of asynchronously switched systems
    Liu, Yang
    Chen, Xiaoying
    Lu, Jianquan
    Gui, Weihua
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 43
  • [26] Adaptive stabilisation for a large class of high-order uncertain non-linear systems
    Sun, Zongyao
    Liu, Yungang
    INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (07) : 1275 - 1287
  • [27] Stability Analysis and L2-gain of Nonlinear Switched Systems with Unstable Subsystems
    Zheng, Qunxian
    Wei, Lisheng
    Yang, Huicheng
    Guo, Xingzhong
    2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 211 - 216
  • [28] Stability and L2-gain Analysis of Periodic Piecewise Linear Systems
    Li, Panshuo
    Lam, James
    Chen, Yong
    Cheung, Kie Chung
    Niu, Yugang
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 3509 - 3514
  • [29] On stability, L2-gain and H∞ control for switched systems
    Zhao, Jun
    Hill, David J.
    AUTOMATICA, 2008, 44 (05) : 1220 - 1232
  • [30] Vector L2-gain and stability of feedback switched systems
    Zhao, Jun
    Hill, David J.
    AUTOMATICA, 2009, 45 (07) : 1703 - 1707
12345