0
Research Papers

A Generic Function for Automated Modeling and Feedforward Control of Planetary Gear Sets

[+] Author and Article Information
Jianfeng Huang

School of Mechanical Engineering,
Shanghai Jiao Tong University Building D,
Dongchuan Road 800,
Minhang District,
Shanghai 200240, China
e-mail: sjtuhuangjianfeng@126.com

Jianlong Zhang

School of Mechanical Engineering,
Shanghai Jiao Tong University Building D,
Dongchuan Road 800,
Minhang District,
Shanghai 200240, China
e-mail: 15921111588@139.com

Wei Huang

School of Mechanical Engineering,
Shanghai Jiao Tong University Building D,
Dongchuan Road 800,
Minhang District,
Shanghai 200240, China
e-mail: huangwei1993223@163.com

Chengliang Yin

School of Mechanical Engineering,
Shanghai Jiao Tong University Building D,
Dongchuan Road 800,
Minhang District,
Shanghai 200240, China
e-mail: clyin1965@sjtu.edu.cn

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received August 3, 2017; final manuscript received March 2, 2018; published online May 3, 2018. Assoc. Editor: Ryozo Nagamune.

J. Dyn. Sys., Meas., Control 140(10), 101007 (May 03, 2018) (14 pages) Paper No: DS-17-1396; doi: 10.1115/1.4039859 History: Received August 03, 2017; Revised March 02, 2018

This paper introduces a generic function for automated modeling and feedforward control of planetary gears (PGs). Given the information on configuration, namely, the internal connection relationship between each PG, location of external torques, location and locking state of each clutch, this function outputs a ready-to-use kinetic model. The derived model can then be converted into numeric form by substituting the symbols in the matrix with real values and used for simulation, analysis or controller design. Since the output of the function is in symbolic form, it provides the theoretically most accurate results. Furthermore, compared to other kinds of automated modeling techniques for PG, the proposed function is: (a) more “straightforward” in a sense that it relies solely on direct matrix formulation and no other methods such as system identification are needed and therefore can be implemented in a single environment such as matlab; (b) more “generic” since it is capable of deriving both full-degrees-of-freedom (DOF) and reduced-DOF models for virtually any configuration regardless of the number, connection, and location of input/output shafts or clutches. By exchanging certain variables in the list of unknowns and knowns, the function can also be used to facilitate the design of feedforward controllers.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Zhang, X. , Peng, H. , Sun, J. , and Li, S. , 2014, “ Automated Modeling and Mode Screening for Exhaustive Search of Double-Planetary-Gear Power Split Hybrid Powertrains,” ASME Paper No. DSCC2014-6028.
Liu, J. , and Peng, H. , 2010, “ A Systematic Design Approach for Two Planetary Gear Split Hybrid Vehicles,” Veh. Syst. Dyn., 48(11), pp. 1395–1412. [CrossRef]
Zhang, X. , Eben Li, S. , Peng, H. , and Sun, J. , 2015, “ Efficient Exhaustive Search of Power-Split Hybrid Powertrains With Multiple Planetary Gears and Clutches,” ASME J. Dyn. Syst. Meas. Control, 137(12), p. 121006. [CrossRef]
Cho, D. , and Hedrick, J. K. , 1989, “ Automotive Powertrain Modeling for Control,” ASME J. Dyn. Syst. Meas. Control, 111(4), pp. 568–576. [CrossRef]
Ranogajec, V. , Deur, J. , and Coric, M. , 2016, “ Bond Graph Analysis of Automatic Transmission Shifts Including Potential of Extra Clutch Control,” SAE Int. J. Engines, 9(3), pp. 1929–1945. [CrossRef]
Ivanovic, V. , and Tseng, H. E. , 2017, “ Bond Graph Based Approach for Modeling of Automatic Transmission Dynamics,” SAE Int. J. Engines, 10(4), pp. 1999–2014. [CrossRef]
Hrovat, D. , Asgari, J. , and Fodor, M. , 2000, Mechatronic Systems Techniques and Applications, Vol. 2, C. T. Leondes , ed., Gordon and Breach Science Publishers, Newark, NJ, pp. 1–98.
Hrovat, D. , and Tobler, W. E. , 1991, “ Bond Graph Modeling of Automotive Power Trains,” J. Franklin Inst., 328(5–6), pp. 623–662. [CrossRef]
Ranogajec, V. , and Deur, J. , 2017, “ A Bond Graph-Based Method of Automated Generation of Automatic Transmission Mathematical Model,” SAE Int. J. Engines, 10(3), pp. 1367–1374. [CrossRef]
Ranogajec, V. , and Deur, J. , 2017, “ An Automated Model-Order Reduction Method for Automatic Transmissions,” ASME J. Dyn. Syst. Meas. Control, 139(7), p. 071004. [CrossRef]
Yanakiev, D. , Fujii, Y. , Tseng, E. , Pietron, G. M. , Kucharski, J. , and Kapas, N. , 2013, “ Torque Phase Shift Control Based on Clutch Torque Estimation,” ASME Paper No. DSCC2013-3868.
Lee, S. , Zhang, Y. , Jung, D. , and Lee, B. , 2014, “ A Systematic Approach for Dynamic Analysis of Vehicles With Eight or More Speed Automatic Transmission,” ASME J. Dyn. Syst. Meas. Control, 136(5), p. 051008. [CrossRef]
Bai, S. , Maguire, J. , and Peng, H. , 2013, Dynamic Analysis and Control System Design of Automatic Transmissions, SAE International, Warrendale, PA. [CrossRef]
Samanuhut, P. , and Dogan, A. , 2008, “ Dynamics Equations of Planetary Gear Sets for Shift Quality by Lagrange Method,” ASME Paper No. DSCC2008-2151.
Fengyu, L. , and Chen Li, Y. C. , 2013, “ Control Oriented Universal Format Model for Planetary Gear Transmission,” Fifth TM Symposium, pp. 95–106.
Jianfeng, H. , 2017, “ The autoEQ Function,” The MathWorks, Inc., Natick, MA, accessed Apr. 13, 2018, http://cn.mathworks.com/matlabcentral/fileexchange/63773-a-generic-function-for-automated-modeling-and-feedforward-control-of-planetary-gears
Garofalo, F. , Glielmo, L. , Iannelli, L. , and Vasca, F. , 2001, “ Smooth Engagement for Automotive Dry Clutch,” 40th IEEE Conference on Decision and Control, Orlando, FL, Dec. 4–7, pp. 529–534.
Gao, B. , Xiang, Y. , Chen, H. , Liang, Q. , and Guo, L. , 2015, “ Optimal Trajectory Planning of Motor Torque and Clutch Slip Speed for Gear Shift of a Two-Speed Electric Vehicle,” ASME J. Dyn. Syst. Meas. Control, 137(6), p. 061016. [CrossRef]
Karnopp, D. , 1985, “ Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems,” ASME J. Dyn. Syst. Meas. Control, 107(1), pp. 100–103. [CrossRef]

Figures

Grahic Jump Location
Fig. 3

Free body diagram of the first PG

Grahic Jump Location
Fig. 2

Schematic of AT gearbox (“FD” is for “Final Drive”)

Grahic Jump Location
Fig. 1

PG set and the free body diagram

Grahic Jump Location
Fig. 5

Input and output parameters of the autoEQ function

Grahic Jump Location
Fig. 6

The matrix structure

Grahic Jump Location
Fig. 7

Matrix structure of CL_connection

Grahic Jump Location
Fig. 9

Block diagram of the feedforward-feedback controller

Grahic Jump Location
Fig. 10

Schematic of the gearbox for HEV (“FD” is for “Final Drive”)

Grahic Jump Location
Fig. 11

Structure of the simulink model

Grahic Jump Location
Fig. 12

Clutch torque capacity profiles, input shaft speed, on-going clutch slip speed, and output shaft torque for 1-2 upshift

Grahic Jump Location
Fig. 8

Slip speed reference in inertia phase

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In