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Research Papers

Experimental Study on an Electric Variable Valve Timing Actuator: Linear Parameter Varying Modeling and Control

[+] Author and Article Information
Ali Khudhair Al-Jiboory

Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: aljiboor@egr.msu.edu

Guoming G. Zhu

Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: zhug@egr.msu.edu

Shupeng Zhang

Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: zhangs30@msu.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received May 14, 2016; final manuscript received March 10, 2017; published online June 28, 2017. Assoc. Editor: Mazen Farhood.

J. Dyn. Sys., Meas., Control 139(10), 101011 (Jun 28, 2017) (9 pages) Paper No: DS-16-1250; doi: 10.1115/1.4036539 History: Received May 14, 2016; Revised March 10, 2017

This paper presents experimental investigation results of an electric variable valve timing (EVVT) actuator using linear parameter varying (LPV) system identification and control. For the LPV system identification, a number of local system identification tests were carried out to obtain a family of linear time-invariant (LTI) models at fixed engine speed and battery voltage. Using engine speed and battery voltage as time-varying scheduling parameters, the family of local LTI models is translated into a single LPV model. Then, a robust gain-scheduling (RGS) dynamic output-feedback (DOF) controller with guaranteed H performance was synthesized and validated experimentally. In contrast to the vast majority of gain-scheduling literature, scheduling parameters are assumed to be polluted by measurement noises and the engine speed and battery voltage are modeled as noisy scheduling parameters. Experimental and simulation results show the effectiveness of the developed approach.

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Figures

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Fig. 1

Flowchart for the design and implementation of an RGS controller on EVVT system

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Fig. 2

Electric planetary gear EVVT system

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Fig. 3

EVVT cam-phase actuator schematic diagram

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Fig. 4

Engine experiment setup

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Fig. 5

Bode plots of the nine local LTI models

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Fig. 6

The varying parameters as a function of engine speed and battery voltage: (a) θ1(N,V) and (b) θ2(N,V)

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Fig. 9

Measured engine speed, battery voltage, and cam-phase angle with step-change input from 5 deg to 40 deg

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Fig. 10

Measured engine speed, battery voltage, and cam-phasing angle at 40 deg

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Fig. 11

Simulation comparison among RGSl, standard LPV control, and LTI H∞ controllers

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Fig. 7

Closed-loop system with output-feedback RGS control

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Fig. 8

Engine experimental operating trajectory in parameter space

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