Passivity based control of a magnetic levitation system with two electromagnets for a flexible beam

Shimizu, Toshihisa; Sasaki, Minoru; Wajima, K.

doi:10.1109/amc.2004.1297654

Cited by 6 publications

(5 citation statements)

References 3 publications

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“…By a demonstration of its applications to several dynamic systems, Kelkar and Joshi (2004) pointed out that the most important advantage of the passivitybased approach is that it has inherent robustness to unmodeled dynamics and parametric uncertainties, and it is uniquely suited for application to elastic systems. Shimizu et al (2004) investigated the magnetic levitation system with two electromagnets located above a flexible beam. The system was decomposed into two subsystems À the electrical subsystem and the mechanical subsystem, and the controllers for each subsystem were designed separately to ensure that they were passive.…”

Section: Introductionmentioning

confidence: 99%

Suppression of the stationary maglev vehicle–bridge coupled resonance using a tuned mass damper

Zhou

Hansen

2012

Journal of Vibration and Control

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The coupled resonance that occurs between a maglev vehicle and an elevated bridge is a unique problem for an electromagnetic suspension maglev system when the vehicle is suspended above the bridge without moving. This problem causes the bridge to vibrate in a large amplitude, it significantly degrades the ride comfort of the maglev train, and it needs to be solved before the commercial application of the system. In this paper, the principle of the stationary vehicle–bridge coupled resonance is investigated, and it is shown that the levitation system is non-passive and it causes self-excited vibration when the first resonance frequency of the bridge approaches the critical frequency of the levitation system. To eliminate the coupled resonance, an approach using a tuned mass damper (TMD) to render passive the levitation control system is presented, and it shows that a TMD with appropriate parameters can stabilize the coupled system. A procedure for seeking out a group of suboptimal parameters of the TMD is also proposed. This procedure ensures that the designed result has a satisfactory performance as well as a reasonable stability margin. The location where the TMD should be mounted to achieve the best performance is discussed. The numerical simulation shows that the designed TMD can completely suppress the vehicle–bridge coupled resonance.

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Section: Introductionmentioning

confidence: 99%

Suppression of the stationary maglev vehicle–bridge coupled resonance using a tuned mass damper

Zhou

Hansen

2012

Journal of Vibration and Control

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“…The nonlinear change in coordinates is presented in Equation (8). 8) In the new coordinates, we can get:…”

Section: Dynamics Of the Mlsmentioning

confidence: 99%

“…Several techniques have been implemented to control the magnetic levitation system, for examples using gain scheduling [5], high-gain observers [6], and passivity based control [7,8]. These controllers do not consider the parameter uncertainties of magnetic levitation system.…”

Section: Introductionmentioning

confidence: 99%

Design and Implementation of a Magnetic Levitation System Controller using Global Sliding Mode Control

Uswarman

Cahyadi

Wahyunggoro

2014

J. Mechatron. Electr. Power Veh. Technol.

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This paper presents global sliding mode control and conventional sliding mode control for stabilization position of a levitation object. Sliding mode control will be robusting when in sliding mode condition. However, it is not necessarily robust at attaining phase. In the global sliding mode control, the attaining motion phase was eliminated, so that the robustness of the controller can be improved. However, the value of the parameter uncertainties needs to be limited. Besides that, the common problem in sliding mode control is high chattering phenomenon. If the chattering is too large, it can make the system unstable due the limited ability of electronics component. The strategy to overcome the chattering phenomenon is needed. Based on simulation and experimental results, the global sliding mode control has better performance than conventional sliding mode control.

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“…Curve (b) is the characteristic of an actual inductance with finite magnetic permeability with the existing leakage magnetic flux. In (b) case, we can expresses L(x) by using x 0 , L 0 as in (4). In reference [3][4], the authors assumed that the leakage inductance L 0 is small enough, and derived a controller by the inductance L(x) for L 0 = 0.…”

Section: A Mathematical Model Of Magnetic Suspension Systemmentioning

confidence: 99%

“…For this problem, Ortega [3] and Shimizu [4] focus on the control based on the passivity which is used in the field of the robotics and so on, they derived the controller using the passivity of the system. In the reference [3] [4], the system of voltage control type magnetic suspension system was divided into two subsystems: an electrical subsystem and a mechanical subsystem. The authors realized a wide area stabilization by designed controllers to each subsystem.…”

Section: Introductionmentioning

confidence: 99%

A passivity-based approach to wide area stabilization of magnetic suspension systems

Namerikawa

Kawano

2006

2006 American Control Conference

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Abstract-This paper deals with a passivity-based approach to wide area stabilization of magnetic suspension systems. It is well known that the magnetic suspension systems have strong nonlinearity. In order to realize wide area stabilization of magnetic suspension systems, we design the passivity-based feedback controller considering a nonlinear dynamics of the magnetic suspension systems and a leakage inductance of the electromagnet especially. The systems can be decomposed two subsystems; an electrical subsystem and a mechanical subsystem. We design nonlinear passivity-based controllers for both two subsystems. Steady-state and transient time responses results for some operating points show the effectiveness of the proposed controller experimentally.

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Passivity based control of a magnetic levitation system with two electromagnets for a flexible beam

Cited by 6 publications

References 3 publications

Suppression of the stationary maglev vehicle–bridge coupled resonance using a tuned mass damper

Suppression of the stationary maglev vehicle–bridge coupled resonance using a tuned mass damper

Design and Implementation of a Magnetic Levitation System Controller using Global Sliding Mode Control

A passivity-based approach to wide area stabilization of magnetic suspension systems

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