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research-article

LPV Model of an Electro-Hydraulic Variable Valve Actuator for Internal Combustion Engines

[+] Author and Article Information
Huan Li

School of Mechanical Engineering, Beijing Institute of Technology
huanli@msu.edu
hy111@bit.edu.cn

Ying Huang

School of Mechanical Engineering, Beijing Institute of Technology
hy111@bit.edu.cn

Guoming George Zhu

ASME Fellow, Mechanical Engineering, Michigan State University, East Lansing, MI 48824
zhug@egr.msu.edu

Zheng Lou

Jiangsu Gongda Power Technologies Ltd., Co.
gongda.lou@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4037286 History: Received December 21, 2016; Revised June 21, 2017

Abstract

This paper presents a novel linear parameter-varying (LPV) model of an electro-hydraulic variable valve actuator for internal combustion engines that is capable of continuously varying valve timing with dual-lift. The dual-lift is realized mechanically through a hydraulic lift control sleeve; valve opening terminal and closing seating velocities are regulated using a top or bottom snubber; and opening and closing timings, as well as lift profile area, are controlled by the valve actuation timing and hydraulic supply pressure. First, nonlinear mathematical system model is developed based on the Newton's law, orifice flow equation, and fluid constitutive law, where the fluid dynamics of the actuation solenoid valve, actuation piston, passages, and orifices, that influence the engine valve profile, are considered in detail. Second, to have an LPV control-oriented model, the order of nonlinear model is reduced and subsequently transformed into an LPV model with minimal deviation by carefully considering the system nonlinearities, time delay, and time-varying parameters. Calibration and validation experiments for both nonlinear and LPV models were performed on the test bench under different operational conditions. The key time-varying parameters, the time constant of the actuation piston top pressure and the discharge coefficient, are highly nonlinear as functions of temperature-sensitive fluid viscosity and are determined using the test data through the Least-Squares optimization. With the identified and calibrated model parameters, simulation results of both nonlinear and LPV models are in good agreement with the experimental ones under different operational conditions.

Copyright (c) 2017 by ASME
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