Modeling and torque estimation of an automotive Dual Mass Flywheel

Schaper, Ulf; Sawodny, Oliver; Mahl, Tobias; Blessing, Uti

doi:10.1109/acc.2009.5160136

Cited by 40 publications

(38 citation statements)

References 2 publications

(2 reference statements)

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“…This is due to the conservatism introduced by the sector condition. As it has been shown by the academic examples in [19] and [23], a representation of the nonlinearity as the solution of the QP (6), (7), which itself can be characterized by the Karush-Kuhn-Tucker (KKT) conditions, may result in reduced conservatism. To this end, Primbs and Giannelli [19] have proposed a Lyapunov function candidate V (x(t), u(t)), which is quadratic in its arguments.…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

“…3) Hysteresis effects of the DMF are neglected, since they especially appear for engine speeds above idling [7]. 4) Sampling effects are neglected due to sufficiently high sampling rate of the ECU.…”

Section: Model Of a Phev Powertrainmentioning

confidence: 99%

“…In the powertrain of a PHEV, the two actuators are typically connected via a dual mass flywheel (DMF) for reasons of noise, vibration, and harshness. During idle engine speed, where small propulsive torque is transmitted through the DMF, the major nonlinearity introduced by the DMF is a mechanical dead-zone [7]. Besides the time-delays, it may also cause system instability.…”

Section: Introductionmentioning

confidence: 99%

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Stability Investigation of an Idle Speed Control Loop for a Hybrid Electric Vehicle

Kändler

Koenings

Ding

et al. 2015

IEEE Trans. Contr. Syst. Technol.

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In this brief, we investigate the stability of an idle speed control (ISC) loop for a hybrid electric vehicle (HEV). The actuators in an HEV powertrain are subject to delays, which can cause instability. Furthermore, in a parallel hybrid setup, these actuators are coupled via a dual mass flywheel, introducing nonlinear behavior through a mechanical dead-zone. The resulting control loop is a Lur'e-type nonlinear system with delays. To investigate its stability, a simple Lyapunov-Krasovskii functional is constructed, taking into account the delays and nonlinear feedback part simultaneously. By means of a quadratic program formulation, conservatism regarding the nonlinearity is reduced. A powertrain model is presented from which an idle speed controller has been designed and successfully implemented on an electronic control unit. Finally, it can be shown that stability for the ISC loop is guaranteed, based on the controller design model of the HEV powertrain.Index Terms-Hybrid electric vehicle (HEV), idle speed control (IDC), Lur'e problem, stability, time delay.

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Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

Section: Model Of a Phev Powertrainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability Investigation of an Idle Speed Control Loop for a Hybrid Electric Vehicle

Kändler

Koenings

Ding

et al. 2015

IEEE Trans. Contr. Syst. Technol.

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“…Combining equation (8) with equation (9), under the loading condition, the elastic forces transferred between spring coils can be derived as…”

Section: Nonlinearity Of the Stiffnessmentioning

confidence: 99%

“…Before long-travel DMF, Albers 7 established a static mechanic model for a longarc spring with a DMF, considering the friction in 1994, and investigated the hysteresis phenomenon under static condition. In 2009, Schaper et al 8 also represented the nonlinear characteristics of an arc spring School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan, China DMF and observed the friction behavior. Although the nonlinear characteristic has been observed, the practicable model for basic DMF has not been achieved yet.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamical model of an automotive dual mass flywheel

Chen

Zeng

Jiang

2015

Advances in Mechanical Engineering

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The hysteresis, stick-slip, and rotational speed-dependent characteristics in a basic dual mass flywheel are obtained from a static and a dynamic experiments. Based on the experimental results, a nonlinear model of the transferred torque in this dual mass flywheel is developed, with the overlying form of nonlinear elastic torque and frictional torque. The nonlinearities of stiffness are investigated, deriving a nonlinear model to describe the rotational speed-dependent stiffness. In addition, Bouc-Wen model is used to model the hysteretic frictional torque. Thus, the nonlinear 2-degree-of-freedom system of this dual mass flywheel is set up. Then, the Levenberg-Marquardt method is adopted for the parameter estimation of the frictional torque. Finally, taking the nonlinear stiffness in this model into account, the parameters of BoucWen model are estimated based on the dynamic test data.

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