Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control

Achieving long downhill constant-speed driving of heavy vehicles is of great significance for improving vehicle transport safety. As a kind of auxiliary brake, the hydraulic retarder has the characteristics of large braking torque and compact structure. More importantly, the hydraulic retarder is ca...

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Main Authors: Pengxiang Song, Ao Meng, Yang Ding
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/13/7058
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author Pengxiang Song
Ao Meng
Yang Ding
author_facet Pengxiang Song
Ao Meng
Yang Ding
author_sort Pengxiang Song
collection DOAJ
description Achieving long downhill constant-speed driving of heavy vehicles is of great significance for improving vehicle transport safety. As a kind of auxiliary brake, the hydraulic retarder has the characteristics of large braking torque and compact structure. More importantly, the hydraulic retarder is capable of braking for a long period of time, which enables the vehicle to travel downhill at a constant speed with less or no use of mechanical brakes. However, due to the complexity of hydraulic retarder braking conditions, its output braking torque presents time-varying and non-linear characteristics, and the control of the hydraulic retarder filling rate in order to achieve the vehicle’s long downhill constant-speed braking is a challenging problem. This research proposes a constant-speed control strategy utilizing the robust control method to address the issue of prolonged downhill braking at constant speed for heavy-duty vehicles, which achieves constant-speed and stable driving downhill by controlling the filling rate of the hydraulic retarder. Initially, the dynamic model of the downhill process for heavy-duty vehicles and the physical model of the hydraulic retarder are established. Then, based on the concept of sliding mode control, the sliding mode controller with saturation function and the high-frequency robust controller are developed to modulate the filling rate of the hydraulic retarder in response to variations in vehicle speed. In order to verify the effectiveness of the algorithm, three different operating conditions were set according to the vehicle mass and road gradient, and simulation tests were carried out in the MATLAB/Simulink environment. Simulation results indicate that the high-frequency controller exhibits remarkable robustness against dynamic disturbances within the system. Additionally, when variations in vehicle mass and road gradient occur, the root mean square error of the high-frequency controller’s speed, in comparison to the fuzzy controller, decreases by 0.1157 km/h, while the maximum absolute error in vehicle speed diminishes by 0.248 km/h. Simultaneously, the high-frequency controller proficiently suppresses chatter, thereby meeting the demand for consistent speed braking in big trucks on prolonged downhill gradients.
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spelling doaj-art-63a18c23faeb4f459987d1cbe33e3f082025-07-11T14:35:32ZengMDPI AGApplied Sciences2076-34172025-06-011513705810.3390/app15137058Design of Constant Speed Controller for Hydraulic Retarder Based on Robust ControlPengxiang Song0Ao Meng1Yang Ding2School of Vehicle and Energy, Yanshan University, Qinhuangdao 066000, ChinaSchool of Vehicle and Energy, Yanshan University, Qinhuangdao 066000, ChinaSchool of Vehicle and Energy, Yanshan University, Qinhuangdao 066000, ChinaAchieving long downhill constant-speed driving of heavy vehicles is of great significance for improving vehicle transport safety. As a kind of auxiliary brake, the hydraulic retarder has the characteristics of large braking torque and compact structure. More importantly, the hydraulic retarder is capable of braking for a long period of time, which enables the vehicle to travel downhill at a constant speed with less or no use of mechanical brakes. However, due to the complexity of hydraulic retarder braking conditions, its output braking torque presents time-varying and non-linear characteristics, and the control of the hydraulic retarder filling rate in order to achieve the vehicle’s long downhill constant-speed braking is a challenging problem. This research proposes a constant-speed control strategy utilizing the robust control method to address the issue of prolonged downhill braking at constant speed for heavy-duty vehicles, which achieves constant-speed and stable driving downhill by controlling the filling rate of the hydraulic retarder. Initially, the dynamic model of the downhill process for heavy-duty vehicles and the physical model of the hydraulic retarder are established. Then, based on the concept of sliding mode control, the sliding mode controller with saturation function and the high-frequency robust controller are developed to modulate the filling rate of the hydraulic retarder in response to variations in vehicle speed. In order to verify the effectiveness of the algorithm, three different operating conditions were set according to the vehicle mass and road gradient, and simulation tests were carried out in the MATLAB/Simulink environment. Simulation results indicate that the high-frequency controller exhibits remarkable robustness against dynamic disturbances within the system. Additionally, when variations in vehicle mass and road gradient occur, the root mean square error of the high-frequency controller’s speed, in comparison to the fuzzy controller, decreases by 0.1157 km/h, while the maximum absolute error in vehicle speed diminishes by 0.248 km/h. Simultaneously, the high-frequency controller proficiently suppresses chatter, thereby meeting the demand for consistent speed braking in big trucks on prolonged downhill gradients.https://www.mdpi.com/2076-3417/15/13/7058hydraulic retarderconstant-speed controlfilling raterobust control
spellingShingle Pengxiang Song
Ao Meng
Yang Ding
Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
Applied Sciences
hydraulic retarder
constant-speed control
filling rate
robust control
title Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
title_full Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
title_fullStr Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
title_full_unstemmed Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
title_short Design of Constant Speed Controller for Hydraulic Retarder Based on Robust Control
title_sort design of constant speed controller for hydraulic retarder based on robust control
topic hydraulic retarder
constant-speed control
filling rate
robust control
url https://www.mdpi.com/2076-3417/15/13/7058
work_keys_str_mv AT pengxiangsong designofconstantspeedcontrollerforhydraulicretarderbasedonrobustcontrol
AT aomeng designofconstantspeedcontrollerforhydraulicretarderbasedonrobustcontrol
AT yangding designofconstantspeedcontrollerforhydraulicretarderbasedonrobustcontrol