EXTENDED CASIMIR APPROACH TO CONTROLLED HAMILTONIAN SYSTEMS

被引:0
|
作者
Yuqian GUO Daizhan CHENG Institute of Systems Science
机构
基金
中国国家自然科学基金;
关键词
Casimir function; Energy-shaping; H_∞ control; Input-to-state stabilization;
D O I
暂无
中图分类号
O231 [控制论(控制论的数学理论)];
学科分类号
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要
In this paper,we first propose an extended Casimir method for energy-shaping.Then itis used to solve some control problems of Hamiltonian systems.To solve the Hcontrol problem,theenergy function of a Hamiltonian system is shaped to such a form that could be a candidate solution ofHJI inequality.Next,the energy function is shaped as a candidate of control ISS-Lyapunov function,and then the input-to-state stabilization of port-controlled Hamiltonian systems is achieved.Someeasily verifiable sufficient conditions are presented.
引用
收藏
页码:211 / 218
页数:8
相关论文
共 50 条
  • [1] Extended casimir approach to controlled hamiltonian systems
    Guo Y.
    Cheng D.
    [J]. Journal of Systems Science and Complexity, 2006, 19 (2) : 211 - 218
  • [2] A HAMILTONIAN APPROACH TO FERMION CASIMIR ENERGY
    MACKENZIE, R
    [J]. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1987, 36 (03): : 389 - 394
  • [3] Hamiltonian approach to the dynamical Casimir effect
    Haro, Jaume
    Elizalde, Emilio
    [J]. PHYSICAL REVIEW LETTERS, 2006, 97 (13)
  • [4] Casimir companion: An invariant of motion for Hamiltonian systems
    Boldt, Frank
    Nulton, James D.
    Andresen, Bjarne
    Salamon, Peter
    Hoffmann, Karl Heinz
    [J]. PHYSICAL REVIEW A, 2013, 87 (02):
  • [5] Total Hamiltonian and extended Hamiltonian for constrained Hamilton systems
    Wang, Yong-Long
    Wang, Chuan-Cong
    Ning, Xue-Feng
    Ai, Shu-Tao
    Pan, Hong-Zhe
    Jiang, Tong-Song
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (09) : 2319 - 2325
  • [6] Total Hamiltonian and Extended Hamiltonian for Constrained Hamilton Systems
    Yong-Long Wang
    Chuan-Cong Wang
    Xue-Feng Ning
    Shu-Tao Ai
    Hong-Zhe Pan
    Tong-Song Jiang
    [J]. International Journal of Theoretical Physics, 2008, 47 : 2319 - 2325
  • [7] Modeling and Control Design for Quadrotors: A Controlled Hamiltonian Systems Approach
    Wu, Yuhu
    Hu, Kaijian
    Sun, Xi-Ming
    [J]. IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY, 2018, 67 (12) : 11365 - 11376
  • [8] Neural Energy Casimir Control for Port-Hamiltonian Systems
    Xu, Liang
    Zakwan, Muhammad
    Ferrari-Trecate, Giancarlo
    [J]. 2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 4053 - 4058
  • [9] Extended Hamiltonian approach to continuous tempering
    Gobbo, Gianpaolo
    Leimkuhler, Benedict J.
    [J]. PHYSICAL REVIEW E, 2015, 91 (06):
  • [10] EXTREMAL ARCS AND EXTENDED HAMILTONIAN SYSTEMS
    CLARKE, FH
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 231 (02) : 349 - 367