Finite-time stabilization of Port-Controlled Hamiltonian systems with application to nonlinear affine systems

被引：28
|
作者：
Wang, Yuzhen [1 ]
Feng, Gang [2 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250100, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Hong Kong, Peoples R China
来源：
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12 | 2008年
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1109/ACC.2008.4586656
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The finite-time stabilization of nonlinear Port-Controlled Hamiltonian (PCH) systems is investigated in this paper, and a number of approaches to the finite-time control design are proposed. Based on a finite-time stability criterion and the so-called "energy shaping plus damping injection" technique, the continuous finite-time stabilization problem is studied for the PCH systems, and several global stabilization results are obtained. Via Hamiltonian realization, the results obtained for the Hamiltonian systems are applied to investigate continuous finite-time stabilization of nonlinear affine systems, and several global control design results are presented. Study on several examples shows that the control design approaches developed in this paper work very well.
引用
收藏
页码：1202 / +
页数：2
相关论文
共 50 条
  • [1] On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
    WANG YuZhen
    FENG Gang
    Science China(Information Sciences), 2013, 56 (10) : 251 - 264
  • [2] On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
    Wang YuZhen
    Feng Gang
    SCIENCE CHINA-INFORMATION SCIENCES, 2013, 56 (10) : 1 - 14
  • [3] On finite-time stability and stabilization of nonlinear port-controlled Hamiltonian systems
    YuZhen Wang
    Gang Feng
    Science China Information Sciences, 2013, 56 : 1 - 14
  • [4] Simultaneous stabilization of a collection of port-controlled Hamiltonian systems with application to affine nonlinear systems
    Wang, Yuzhen
    Feng, Gang
    Cheng, Daizhan
    2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1206 - +
  • [5] Finite-time stabilization of port-controlled Hamiltonian systems with nonvanishing disturbances
    Fu, Baozeng
    Li, Shihua
    Guo, Lei
    Yang, Jun
    Lan, Qixun
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (10) : 2973 - 2981
  • [6] Finite-time stabilization and H∞ control of Port-controlled Hamiltonian systems with disturbances and saturation
    Fu, Baozeng
    Wang, Qingzhi
    Li, Ping
    PLOS ONE, 2021, 16 (08):
  • [7] Finite-time stabilization and H∞ control for a class of switched nonlinear port-controlled Hamiltonian systems subject to actuator saturation
    Wang, Zi-Ming
    Wei, Airong
    Zong, Guangdeng
    Zhao, Xudong
    Li, Hanfeng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (16): : 11807 - 11829
  • [8] Finite-Time Simultaneous Stabilization for Stochastic Port-Controlled Hamiltonian Systems over Delayed and Fading Channels
    Tang, Yaping
    Sun, Weiwei
    Liu, Dongqing
    COMPLEXITY, 2020, 2020
  • [9] Finite-time adaptive control for uncertain switched port-controlled Hamiltonian systems
    Wang, Zi-Ming
    Zhao, Xudong
    Li, Xiaodi
    Wei, Airong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 119
  • [10] Simultaneous stabilization of a set of nonlinear port-controlled Hamiltonian systems
    Wang, Yuzhen
    Feng, Gang
    Cheng, Daizhan
    AUTOMATICA, 2007, 43 (03) : 403 - 415
12345