|Table of Contents|

Passivity-based control design for hamiltonian systems(PDF)

[ISSN:1007-449X/CN:23-1 408/TM]

Issue:
2008年05
Page:
571-575
Research Field:
Publishing date:

Info

Title:
Passivity-based control design for hamiltonian systems
Author(s):
HE Zhen; SHAO Ming; MENG Fan-wei; WANG Guang-xiong;
Department of Control Science and Engineering; Harbin Institute of Technology; Harbin 150001; China;
Keywords:
passivity-based control interconnection and damping assignment Hamiltonian systems nonlinear control systems electromagnetic levitation system
PACS:
TP13
DOI:
-
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.

References:

[1]ORTEGA R, VAN der Schaft A, MAREELS I, et al. Putting energy back in control [J]. IEEE Control System Magazine, 2001, 21(2): 18-33.

[2]ORTEGA R, VAN der Schaft A, MASCHKE B, et al. Interconnection and damping assignment passivitybased control of port-controlled Hamilton systems [J]. Automatica, 2002, 38(4): 585-596.

[3]SHEN Tielong, ORTEGA R, LU Qiang, et al. Adaptive L2 disturbance attenuation of Hamiltonian systems with parametric perturbation and application to power systems [C]//Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December,2000:4939-4944.

[4]吴忠强, 王志君. DC/DC变换器的一种无源化控制方案[J]. 电机与控制学报, 2008, 12(2): 147-150.

WU Zhongqiang, WANG Zhijun. A kind of passivity control for DC/DC converter [J]. Electric Machines and  Control, 2008, 12(2): 147-150.

[5]孟范伟, 何朕, 王毅,等. 非线性系统的线性化[J]. 电机与控制学报. 2008, 12(1): 89-92.

MENG Fanwei, HE Zhen, WANG Yi, et al. Linearization of a nonlinear system [J]. Electric Machines and Control,  2008, 12(1): 89-92.

[6]SINHA P K, PECHEV A N. Nonlinear H∞controllers for electromagnetic suspension systems [J]. IEEE Trans Automatic Control, 2004, 49(4): 563-568.

Memo

Memo:
-
Last Update: 2008-12-11