Passivity-based control design for Hamiltonian systems

Zhen He; Ming Shao; Fan Wei Meng; Guang Xiong Wang

Passivity-based control design for Hamiltonian systems

Zhen He^*
, Ming Shao
, Fan Wei Meng
, Guang Xiong Wang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The passivity-based control (PBC) is a new direction of nonlinear control. But the method is basically a qualitative method. A quantifiable design method in combination with the PBC is provided in the paper. To solve the special partial differential equation (PDE) for PBC, the nonlinear system needs to be firstly transferred to a Hamiltonian model. The PDE for the Hamiltonian system was solved with an electromagnetic levitation example. The passivity-based control law was also presented and discussed. The proposed method provides a practical design tool for the nonlinear control.

Original language	English
Pages (from-to)	571-575
Number of pages	5
Journal	Dianji yu Kongzhi Xuebao/Electric Machines and Control
Volume	12
Issue number	5
State	Published - Sep 2008

Keywords

Electromagnetic levitation system
Hamiltonian systems
Interconnection and damping assignment
Nonlinear control systems
Passivity-based control

Cite this

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title = "Passivity-based control design for Hamiltonian systems",

abstract = "The passivity-based control (PBC) is a new direction of nonlinear control. But the method is basically a qualitative method. A quantifiable design method in combination with the PBC is provided in the paper. To solve the special partial differential equation (PDE) for PBC, the nonlinear system needs to be firstly transferred to a Hamiltonian model. The PDE for the Hamiltonian system was solved with an electromagnetic levitation example. The passivity-based control law was also presented and discussed. The proposed method provides a practical design tool for the nonlinear control.",

keywords = "Electromagnetic levitation system, Hamiltonian systems, Interconnection and damping assignment, Nonlinear control systems, Passivity-based control",

author = "Zhen He and Ming Shao and Meng, \{Fan Wei\} and Wang, \{Guang Xiong\}",

year = "2008",

month = sep,

language = "英语",

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TY - JOUR

T1 - Passivity-based control design for Hamiltonian systems

AU - He, Zhen

AU - Shao, Ming

AU - Meng, Fan Wei

AU - Wang, Guang Xiong

PY - 2008/9

Y1 - 2008/9

N2 - The passivity-based control (PBC) is a new direction of nonlinear control. But the method is basically a qualitative method. A quantifiable design method in combination with the PBC is provided in the paper. To solve the special partial differential equation (PDE) for PBC, the nonlinear system needs to be firstly transferred to a Hamiltonian model. The PDE for the Hamiltonian system was solved with an electromagnetic levitation example. The passivity-based control law was also presented and discussed. The proposed method provides a practical design tool for the nonlinear control.

AB - The passivity-based control (PBC) is a new direction of nonlinear control. But the method is basically a qualitative method. A quantifiable design method in combination with the PBC is provided in the paper. To solve the special partial differential equation (PDE) for PBC, the nonlinear system needs to be firstly transferred to a Hamiltonian model. The PDE for the Hamiltonian system was solved with an electromagnetic levitation example. The passivity-based control law was also presented and discussed. The proposed method provides a practical design tool for the nonlinear control.

KW - Electromagnetic levitation system

KW - Hamiltonian systems

KW - Interconnection and damping assignment

KW - Nonlinear control systems

KW - Passivity-based control

UR - https://www.scopus.com/pages/publications/54549107819

M3 - 文章

AN - SCOPUS:54549107819

SN - 1007-449X

VL - 12

SP - 571

EP - 575

JO - Dianji yu Kongzhi Xuebao/Electric Machines and Control

JF - Dianji yu Kongzhi Xuebao/Electric Machines and Control

IS - 5

ER -

Passivity-based control design for Hamiltonian systems

Abstract

Keywords

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