|
|
Backstepping based precise control of brake cylinder pressure for train |
Chi LEI( ),Meng-ling WU |
Institute of Rail Transit, Tongji University, Shanghai 201804, China |
|
|
Abstract A precise control method of brake cylinder pressure based on backstepping was proposed for the heavy-haul train equipped with electronically controlled pneumatic (ECP) brake system. A control model of ECP brake system with strict feedback form was established through equivalent continuous processing and linearization. By introducing the uncertainties with known upper bound, and adopting the sliding mode variable structure with exponential approach law, the local robustness of the system was achieved. A control law based on backstepping was designed by constructing error variables and Lyapunov function. A first-order filter was introduced to solve the problem of counting the derivative repeatedly in the control law. The performance of the controller was analyzed through hardware-in-loop test. Test results showed that, comparing with the traditional controller, the controller of brake cylinder pressure based on backstepping had a higher control accuracy, and its steady state control error was within the range of ±8 kPa without obviously overshoot in the pressure regulation process. In addition, the introduction of dead zone in the controller can significantly reduce the operation times of the AV/RV valve and improve the service life of the system.
|
Received: 26 February 2020
Published: 25 April 2021
|
|
基于反步法的列车制动缸压力精确控制
针对重载列车电控空气(ECP)制动系统,提出基于反步法的制动缸压力精确控制方法. 通过等效连续化处理和线性化处理,建立具有严格反馈方式的ECP制动系统控制模型;引入已知上界的不确定项,采用指数趋近律的滑模变结构,实现系统局部鲁棒性;基于反步法设计控制律,构造误差变量以及 Lyapunov函数;引入一阶滤波器,解决控制律中存在的“微分项数爆炸”问题. 硬件在环试验结果表明:与传统控制器相比,基于反步法的制动缸压力控制器具有更高的控制精度,其稳态控制误差在±8 kPa内,且调压过程无明显超调;在控制器中引入控制死区,可以大幅降低AV/RV阀的动作次数,提高系统使用寿命.
关键词:
电控空气制动系统,
等效连续化,
反步控制器,
精确控制,
压力
|
|
[1] |
马大炜, 王成国, 张波 我国重载列车制动技术的研究[J]. 铁道车辆, 2009, 47 (5): 8- 11 MA Da-wei, WANG Cheng-guo, ZHANG Bo Research on braking technology for heavy haul trains in our country[J]. Rolling Stock, 2009, 47 (5): 8- 11
doi: 10.3969/j.issn.1002-7602.2009.05.002
|
|
|
[2] |
SITUM Z, NOVAKOVIC B Servo pneumatic position control using fuzzy logic PID gain scheduling[J]. Journal of Dynamic Systems, Measurement and Control, 2004, 127 (2): 376- 387
doi: 10.1115/1.1767857
|
|
|
[3] |
KARPENKO M, SEPEHRI N Development and experimental evaluation of a fixed-gain nonlinear control for a low-cost pneumatic actuator[J]. IEEE Proceedings of Control Theory and Applications, 2006, 153 (6): 629- 640
doi: 10.1049/ip-cta:20045084
|
|
|
[4] |
KARPENKO M, SEPEHRI N. QFT synthesis of a position controller for a pneumatic actuator in the presence of worst-case persistent disturbances [C]// 2006 American Control Conference. Minneapolis: [s. n.], 2006: 3158-3163.
|
|
|
[5] |
KARPENKO M, SEPEHRI N. Design and experimental evaluation of a nonlinear position controller for a pneumatic actuator with friction [C]// 2004 American Control Conference. Boston: [s. n.], 2004: 5078-5083.
|
|
|
[6] |
KARPENKO M, SEPEHRI N. QFT design of a PI controller with dynamic pressure feedback for positioning a pneumatic actuator [C]// 2004 American Control Conference. Boston: [s. n.], 2004: 5084-5089.
|
|
|
[7] |
PANDIAN S R, HAYAKAWA Y, KANAZAWA Y, et al Practical design of a sliding mode controller for pneumatic actuators[J]. Journal of Dynamic Systems, Measurement, and Control, 1997, 119 (4): 666- 674
doi: 10.1115/1.2802376
|
|
|
[8] |
罗卓军. 基于数理模型的列车直通式电空制动系统闭环鲁棒控制[D]. 上海: 同济大学, 2016: 46-60. LUO Zhuo-jun. Robust control study on a direct-acting electro-pneumatic train brake system based on mathe matical models [D]. Shanghai: Tongji University, 2016: 46-60.
|
|
|
[9] |
HEJRATI B, NAJAFI F Accurate pressure control of a pneumatic actuator with a novel pulse width modulation-sliding mode controller using a fast switching on/off valve[J]. Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering, 2013, 227 (2): 230- 242
|
|
|
[10] |
LAI J Y, MENQ C H, SIGNH R Accurate position control of a pneumatic actuator[J]. Journal of Dynamic Systems, Measurement and Control, 1990, 112 (4): 734- 739
doi: 10.1115/1.2896202
|
|
|
[11] |
BARTH E J, ZHANG J L, GOLDFARB M. Sliding mode approach to PWM-controlled pneumatic systems [C]// 20th Annual American Control Conference. Anchorage: [s.n.], 2002: 2362-2367.
|
|
|
[12] |
SHEN X R, ZHANG J L, BARTH E J, et al Nonlinear model-based control of pulse width modulated pneumatic servo systems[J]. Journal of Dynamic Systems, Measurement, and Control, 2005, 128 (3): 663- 669
|
|
|
[13] |
高钦和, 刘志浩, 宋海洲 基于高速开关阀的液压缸速度控制系统设计[J]. 流体传动与控制, 2013, 57 (2): 5- 9 GAO Qin-he, LIU Zhi-hao, SONG Hai-zhou Design of hydraulic cylinder speed control system based on high speed switch valve[J]. Fluid Power Transmission and Control, 2013, 57 (2): 5- 9
doi: 10.3969/j.issn.1672-8904.2013.02.004
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
|
Shared |
|
|
|
|
|
Discussed |
|
|
|
|