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Control of Gear Ratio and Slip in Continuously Variable Transmissions: A Model Predictive Control Approach
Technical Paper
2017-01-1104
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
The efficiency of power transmission through a Van Doorne type Continuously Variable Transmission (CVT) can be improved by allowing a small amount of relative slip between the engine and driveline side pulleys. However, excessive slip must be avoided to prevent transmission wear and damage. To enable fuel economy improvements without compromising drivability, a CVT control system must ensure accurate tracking of the gear ratio set-point while satisfying pointwise-in-time constraints on the slip, enforcing limits on the pulley forces, and counteracting driveline side and engine side disturbances.
In this paper, the CVT control problem is approached from the perspective of Model Predictive Control (MPC). To develop an MPC controller, a low order nonlinear model of the CVT is established. This model is linearized at a selected operating point, and the resulting linear model is extended with extra states to ensure zero steady-state error when tracking constant set-points. The design of an MPC controller is then described. Finally, simulation results on the nonlinear CVT model are presented, which illustrate accurate tracking of the gear ratio set-points by the controller while maintaining the slip within the permitted range and counteracting the driveline side and engine side disturbances that are representative of a real vehicle. Design choices are described and compared using nonlinear CVT model simulations, demonstrating that tracking slip set-points in addition to tracking the gear-ratio can improve closed-loop performance.
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Dunham, W., Seok, J., Chen, W., Dai, E. et al., "Control of Gear Ratio and Slip in Continuously Variable Transmissions: A Model Predictive Control Approach," SAE Technical Paper 2017-01-1104, 2017, https://doi.org/10.4271/2017-01-1104.Data Sets - Support Documents
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References
- Bonsen , B. , Klaassen T. W. G. L. , Pulles R. J. , Simons S. W. H. , Steinbuch M. , and Veenhuizen P. A. Performance optimization of the push-belt CVT by variator slip control International journal of vehicle design 39 3 2005 232 256
- van der Meulen , Stan , de Jager Bram , Veldpaus Frans , and Steinbuch Maarten Combining extremum seeking control and tracking control for high-performance CVT operation Control Engineering Practice 29 2014 86 102
- Hrovat , Davor , The development of model predictive control in automotive industry: A survey Control Applications (CCA), 2012 IEEE International Conference on . IEEE 2012
- Carbone , G. , Mangialardi L. , and Mantriota G. The influence of pulley deformations on the shifting mechanism of metal belt CVT Journal of mechanical design 127 1 2005 103 113
- Carbone , Giuseppe , Mangialardi Luigi , Bonsen Bram , Tursi Carlo , and Veenhuizen P. A. CVT dynamics: Theory and experiments Mechanism and Machine Theory 42 4 2007 409 428
- Bonsen , Bram Efficiency optimization of the push-belt CVT by variator slip control Dissertation Abstracts International 68 02 2006
- Ide , Tohru , Uchiyama Hirokazu , and Kataoka Ryuji Experimental investigation on shift speed characteristics of a metal V-belt CVT JSAE paper 9636330 1996
- Shafai , Esfandiar , Simons Michael , Neff Ulrich , and Geering Hans P. Model of a continuously variable transmission Proceedings of IFAC 1st Workshop on Advances in Automotive Control Kiencke U. and Guzzella L. 105 113 1995
- Rodriguez , J. , Brix , F. , and Kumagai , T. A Fast-Running Model of a Van Doorne (Push-Belt) CVT Including Belt Tension and Compression Compliance SAE Technical Paper 2012-01-0628 2012 10.4271/2012-01-0628
- Akehurst , S. , Vaughan N. D. , Parker D. A. , and Simner D. Modelling of loss mechanisms in a pushing metal V-belt continuously variable transmission. Part 1: torque losses due to band friction Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 218 11 2004 1269 1281
- Herceg , Martin , Kvasnica Michal , Jones Colin , and Morari Manfred Multi-parametric toolbox 3.0 Proceedings of the European control conference EPFL-CONF-186265 2013