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.
Modeling and Control of an Automotive All-Wheel Drive Clutch as a Piecewise Affine System
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.
- Views Icon Views
- Share Icon Share
- Search Site
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
Download citation file: