Piecewise affine (PWA) systems belong to a subclass of switched systems and provide good flexibility and traceability for modeling a variety of nonlinear systems. In this paper, application of the PWA system framework to the modeling and control of an automotive all-wheel drive (AWD) clutch system is presented. The open-loop system is first modeled as a PWA system, followed by the design of a piecewise linear (i.e., switched) feedback controller. The stability of the closed-loop system, including model uncertainty and time delays, is examined using linear matrix inequalities based on Lyapunov theory. Finally, the responses of the closed-loop system under step and sine reference signals and temperature disturbance signals are simulated to illustrate the effectiveness of the design.
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January 2014
Research-Article
Modeling and Control of an Automotive All-Wheel Drive Clutch as a Piecewise Affine System
Shiming Duan,
Shiming Duan
1
e-mail: duansm@umich.edu
1Corresponding author.
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A. Galip Ulsoy
A. Galip Ulsoy
Mechanical Engineering,
University of Michigan
,Ann Arbor, MI 48105
Search for other works by this author on:
Shiming Duan
e-mail: duansm@umich.edu
A. Galip Ulsoy
Mechanical Engineering,
University of Michigan
,Ann Arbor, MI 48105
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 16, 2011; final manuscript received August 20, 2013; published online September 26, 2013. Assoc. Editor: Bor-Chin Chang.
J. Dyn. Sys., Meas., Control. Jan 2014, 136(1): 011008 (10 pages)
Published Online: September 26, 2013
Article history
Received:
August 16, 2011
Revision Received:
August 20, 2013
Citation
Duan, S., Ni, J., and Ulsoy, A. G. (September 26, 2013). "Modeling and Control of an Automotive All-Wheel Drive Clutch as a Piecewise Affine System." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 011008. https://doi.org/10.1115/1.4025275
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