Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs

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YILDIZ, Ahmet ;KOPMAZ, Osman .
Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 63, n.6, p. 374-382, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/>. Date accessed: 19 sep. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2016.4184.
Yildiz, A., & Kopmaz, O.
(2017).
Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs.
Strojniški vestnik - Journal of Mechanical Engineering, 63(6), 374-382.
doi:http://dx.doi.org/10.5545/sv-jme.2016.4184
@article{sv-jmesv-jme.2016.4184,
	author = {Ahmet  Yildiz and Osman  Kopmaz},
	title = {Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {63},
	number = {6},
	year = {2017},
	keywords = {chain CVT; speed ratio control; PID; shifting dynamics},
	abstract = {The continuously variable transmission (CVT) system represents one of the best solutions to minimize the fuel consumption for vehicles that are driven by an internal combustion engine or an electrical motor. Hence, the theoretical analysis of a chain CVT is crucial in the optimization of the design and control strategy. This paper is concerned with the transient dynamics of a chain CVT with a speed ratio controller adopted from the Carbone-Mangialardi-Mantriota model and its experimental verification. To this end, a theoretical model is developed with a PI speed ratio controller, considering the momentary solution of a first order differential equation governing the shifting speed, which represents the whole dynamics of the CVT. To verify the developed model, the experiments are carried out on a chain CVT test rig. It is observed that the numerical and experimental results are in good agreement, which implies that the developed model embedded in a speed ratio controller is appropriate to predict the shifting dynamics of the chain CVT. Afterwards, the developed model is used to design the appropriate PI gains by numerical experiments in order to obtain the same slope of the time response of speed ratio for different input angular velocities. Therefore, the same shifting speed can be secured for the different working conditions in this manner. This paper contains very important results for manufacturers about the control parameter and gain effect on the shifting dynamics of chain CVT, and the developed model can be used for different control algorithms in automotive applications.},
	issn = {0039-2480},	pages = {374-382},	doi = {10.5545/sv-jme.2016.4184},
	url = {https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/}
}
Yildiz, A.,Kopmaz, O.
2017 June 63. Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 63:6
%A Yildiz, Ahmet 
%A Kopmaz, Osman 
%D 2017
%T Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs
%B 2017
%9 chain CVT; speed ratio control; PID; shifting dynamics
%! Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs
%K chain CVT; speed ratio control; PID; shifting dynamics
%X The continuously variable transmission (CVT) system represents one of the best solutions to minimize the fuel consumption for vehicles that are driven by an internal combustion engine or an electrical motor. Hence, the theoretical analysis of a chain CVT is crucial in the optimization of the design and control strategy. This paper is concerned with the transient dynamics of a chain CVT with a speed ratio controller adopted from the Carbone-Mangialardi-Mantriota model and its experimental verification. To this end, a theoretical model is developed with a PI speed ratio controller, considering the momentary solution of a first order differential equation governing the shifting speed, which represents the whole dynamics of the CVT. To verify the developed model, the experiments are carried out on a chain CVT test rig. It is observed that the numerical and experimental results are in good agreement, which implies that the developed model embedded in a speed ratio controller is appropriate to predict the shifting dynamics of the chain CVT. Afterwards, the developed model is used to design the appropriate PI gains by numerical experiments in order to obtain the same slope of the time response of speed ratio for different input angular velocities. Therefore, the same shifting speed can be secured for the different working conditions in this manner. This paper contains very important results for manufacturers about the control parameter and gain effect on the shifting dynamics of chain CVT, and the developed model can be used for different control algorithms in automotive applications.
%U https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/
%0 Journal Article
%R 10.5545/sv-jme.2016.4184
%& 374
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 63
%N 6
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Yildiz, Ahmet, & Osman  Kopmaz.
"Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs." Strojniški vestnik - Journal of Mechanical Engineering [Online], 63.6 (2017): 374-382. Web.  19 Sep. 2021
TY  - JOUR
AU  - Yildiz, Ahmet 
AU  - Kopmaz, Osman 
PY  - 2017
TI  - Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.4184
KW  - chain CVT; speed ratio control; PID; shifting dynamics
N2  - The continuously variable transmission (CVT) system represents one of the best solutions to minimize the fuel consumption for vehicles that are driven by an internal combustion engine or an electrical motor. Hence, the theoretical analysis of a chain CVT is crucial in the optimization of the design and control strategy. This paper is concerned with the transient dynamics of a chain CVT with a speed ratio controller adopted from the Carbone-Mangialardi-Mantriota model and its experimental verification. To this end, a theoretical model is developed with a PI speed ratio controller, considering the momentary solution of a first order differential equation governing the shifting speed, which represents the whole dynamics of the CVT. To verify the developed model, the experiments are carried out on a chain CVT test rig. It is observed that the numerical and experimental results are in good agreement, which implies that the developed model embedded in a speed ratio controller is appropriate to predict the shifting dynamics of the chain CVT. Afterwards, the developed model is used to design the appropriate PI gains by numerical experiments in order to obtain the same slope of the time response of speed ratio for different input angular velocities. Therefore, the same shifting speed can be secured for the different working conditions in this manner. This paper contains very important results for manufacturers about the control parameter and gain effect on the shifting dynamics of chain CVT, and the developed model can be used for different control algorithms in automotive applications.
UR  - https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/
@article{{sv-jme}{sv-jme.2016.4184},
	author = {Yildiz, A., Kopmaz, O.},
	title = {Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {63},
	number = {6},
	year = {2017},
	doi = {10.5545/sv-jme.2016.4184},
	url = {https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/}
}
TY  - JOUR
AU  - Yildiz, Ahmet 
AU  - Kopmaz, Osman 
PY  - 2018/06/27
TI  - Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 63, No 6 (2017): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.4184
KW  - chain CVT, speed ratio control, PID, shifting dynamics
N2  - The continuously variable transmission (CVT) system represents one of the best solutions to minimize the fuel consumption for vehicles that are driven by an internal combustion engine or an electrical motor. Hence, the theoretical analysis of a chain CVT is crucial in the optimization of the design and control strategy. This paper is concerned with the transient dynamics of a chain CVT with a speed ratio controller adopted from the Carbone-Mangialardi-Mantriota model and its experimental verification. To this end, a theoretical model is developed with a PI speed ratio controller, considering the momentary solution of a first order differential equation governing the shifting speed, which represents the whole dynamics of the CVT. To verify the developed model, the experiments are carried out on a chain CVT test rig. It is observed that the numerical and experimental results are in good agreement, which implies that the developed model embedded in a speed ratio controller is appropriate to predict the shifting dynamics of the chain CVT. Afterwards, the developed model is used to design the appropriate PI gains by numerical experiments in order to obtain the same slope of the time response of speed ratio for different input angular velocities. Therefore, the same shifting speed can be secured for the different working conditions in this manner. This paper contains very important results for manufacturers about the control parameter and gain effect on the shifting dynamics of chain CVT, and the developed model can be used for different control algorithms in automotive applications.
UR  - https://www.sv-jme.eu/article/control-oriented-modelling-with-experimental-verification-and-design-of-the-appropriate-gains-of-a-pi-speed-ratio-controller-of-chain-cvts/
Yildiz, Ahmet, AND Kopmaz, Osman.
"Control-Oriented Modelling with Experimental Verification and Design of the Appropriate Gains of a PI Speed Ratio Controller of Chain CVTs" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 63 Number 6 (27 June 2018)

Authors

Affiliations

  • Uludag University, Engineering Faculty, Mechanical Engineering Department, Turkey 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 63(2017)6, 374-382

https://doi.org/10.5545/sv-jme.2016.4184

The continuously variable transmission (CVT) system represents one of the best solutions to minimize the fuel consumption for vehicles that are driven by an internal combustion engine or an electrical motor. Hence, the theoretical analysis of a chain CVT is crucial in the optimization of the design and control strategy. This paper is concerned with the transient dynamics of a chain CVT with a speed ratio controller adopted from the Carbone-Mangialardi-Mantriota model and its experimental verification. To this end, a theoretical model is developed with a PI speed ratio controller, considering the momentary solution of a first order differential equation governing the shifting speed, which represents the whole dynamics of the CVT. To verify the developed model, the experiments are carried out on a chain CVT test rig. It is observed that the numerical and experimental results are in good agreement, which implies that the developed model embedded in a speed ratio controller is appropriate to predict the shifting dynamics of the chain CVT. Afterwards, the developed model is used to design the appropriate PI gains by numerical experiments in order to obtain the same slope of the time response of speed ratio for different input angular velocities. Therefore, the same shifting speed can be secured for the different working conditions in this manner. This paper contains very important results for manufacturers about the control parameter and gain effect on the shifting dynamics of chain CVT, and the developed model can be used for different control algorithms in automotive applications.

chain CVT; speed ratio control; PID; shifting dynamics