JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2009, Vol. 39 ›› Issue (3): 47-55.

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New development of energy-based control based on generalized controlled Hamiltonian systems

LIU Yu-chang   

  1. LIU Yu-chang:Deptment of Mathematics and Systems Science, Taishan University, Taian 271021, China; WANG Yu-zhen:School of Control Science and Engineering, Shandong University, Jinan 250061, China
  • Received:2008-10-06 Online:2009-06-16 Published:2009-06-16

Abstract:

The generalized controlled Hamiltonian systems developed from traditional Hamiltonian systems, describe a kind of open dynamical systems, which may have energy dissipation and exchanges with their environment. The developing course of Hamiltoian systems was  first introduced, and then both of the research hot topics and newest development on general Hamiltonian  systems were given. The aim of this paper was to give the reader a whole picture of both energy-based control and  development of research of generalized Hamiltonian systems.

Key words: generalized controlled Hamiltonian system, Hamiltonian realization, energy-based control, observer design, switched (hybrid)Hamiltonian system

[1] MA Shi-min, WANG Yu-zhen. Finite-time stability of a class of generalized Hamiltonian systems with
application to control design of nonlinear affine systems
[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2011, 41(2): 119-125.
[2] JIA Xiu-qin,LIU Yun-gang . Observer design for a class of more general Lipschitz nonlinear systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(2): 113-120 .
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