FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS

被引：1
|
作者：
CHENG DaizhanXI Zairong Laboratory of Systems Science Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China [100080 ]
机构：
来源：
JournalofSystemsScienceandComplexity. | 2002年 / 01期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper investigates the relationship between state feedback and Hamiltonian realization. First, it is proved that a completely controllable linear system always has a state feedback state equation Hamiltonian realization. Necessary and sufficient conditions are obtained for it to have a Hamiltonian realization with natural output. Then some conditions for an affine nonlinear system to have a Hamiltonian realization are given. For generalized outputs, the conditions of the feedback, keeping Hamiltonian, are discussed. Finally, the admissible feedback controls for generalized Hamiltonian systems are considered.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS
    CHENG Daizhan
    [J]. Journal of Systems Science & Complexity, 2002, (01) : 61 - 68
  • [2] Hamiltonian realization of control systems
    Cheng, Daizhan
    Xi, Zairong
    [J]. Zidonghua Xuebao/Acta Automatica Sinica, 2000, 26 (06): : 756 - 762
  • [3] Local Dissipative Hamiltonian Realization by Feedback Regulation
    Hudon, N.
    Guay, M.
    [J]. 49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 5930 - 5935
  • [4] Networks of Hamiltonian systems and feedback
    Belabbas, M. -A.
    [J]. SYSTEMS & CONTROL LETTERS, 2009, 58 (03) : 217 - 224
  • [5] Output feedback realization of state feedback systems
    Chan, JTH
    [J]. PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3670 - 3675
  • [6] REALIZATION-THEORY FOR HAMILTONIAN-SYSTEMS
    GONCALVES, JB
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (01) : 63 - 73
  • [7] Realization of Period Maps of Planar Hamiltonian Systems
    Carlos Rocha
    [J]. Journal of Dynamics and Differential Equations, 2007, 19 : 571 - 591
  • [8] Realization of period maps of planar Hamiltonian systems
    Rocha, Carlos
    [J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2007, 19 (03) : 571 - 591
  • [9] Feedback Invariants of Control Hamiltonian Systems
    Kushner, Alexei G.
    Lychagin, Valentin V.
    [J]. IFAC PAPERSONLINE, 2015, 48 (03): : 1273 - 1275
  • [10] Feedback and integrability of Port Hamiltonian Systems
    Xia, Qianqian
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 805 - 810
12345