Sliding mode pressure controller for an electropneumatic brake: Part I—plant model and controller design

Zhang, Luo; Wu, Meihong; Zuo, Jianyong

doi:10.1177/0959651818758867

Cited by 4 publications

(10 citation statements)

References 12 publications

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“…However, they all affect the pressure responses in the two chambers (the output chamber and the brake cylinder chamber) of the simplified plant model in part I of this article. 1 Thus, by comparing the simulation results and the test data, these parameters can be determined iteratively via trial and error. The relations between these parameters and the pressure responses in the two chambers during an air charging period are as follows.…”

Section: Parameter Identificationmentioning

confidence: 99%

“…The cut-off frequencies of the two first-order filters, 1 which are used to generate reference pressure signals, decide how fast the generated reference signals can vary. Thus, the cut-off frequencies should be chosen so that the reference signals vary as fast as the pressure responses in the chambers.…”

Section: Parameter Identificationmentioning

confidence: 99%

“…In this section, direct and indirect methods are used to determine parameters in the simplified electropneumatic brake plant model and the sliding mode pressure controller. Dimensional parameters, including the volumes ( V 1 and V 2 , see part I of this article 1 ) and the heat transfer areas ( A h 1 and A h 2 ) of the two chambers in the simplified plant and the air flow area ( A 1 and A 2 ) of the valves, are measured directly or by filling oil into the chambers. Thermal exchange coefficients ( α 1 and α 2 ) are determined by measuring the time constant of a pressure decay curve during pressure holding after quick air charging.…”

Section: Parameter Identificationmentioning

confidence: 99%

“…We found that S varied between 0 and 2 × 1 0 6 Pa during controller tests, so η is chosen as η = 1 × 10 6 Pa so as to make S converge fast. Furthermore, based on the analysis in the controller optimization section in part I of this article, 1 we choose the boundary layer thickness as Φ = η .…”

Section: Parameter Identificationmentioning

confidence: 99%

“…In this article, the parameters of the sliding mode pressure controller proposed in part I of this article, 1 for an electropneumatic brake on subway trains, are identified. Then a test bench is built to test the performances of the closed-loop system.…”

Section: Introductionmentioning

confidence: 99%

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Sliding mode pressure controller for an electropneumatic brake: Part II—parameter identification and controller tests

Zhang

Zuo

2018

Proceedings of the Institution of Mechanical Engineers, Part I:

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In this article, the parameters of the sliding mode pressure controller proposed in part I of this article are identified using direct and indirect methods. A test bench, including hardware and software, is designed to test the performance of the controller. Step response tests are carried out to test controller transient and steady-state control performances. Pressure tracking tests, in which the pressure in the brake cylinder chamber is required to track sinusoidal reference signals, are carried out to test the magnitude and phase frequency characteristics of the closed-loop system. The test results suggest that the proposed controller has excellent closed-loop control performances. It can make full use of the available bandwidth of the electropneumatic brake and regulate the brake cylinder pressure to its required value quickly and precisely without obvious overshoot or undershoot in the step response tests. Steady-state error in the step response tests is no more than 66 kPa. In the pressure tracking tests, the controller can make the brake cylinder pressure accurately track sinusoidal reference signals at low frequencies. The magnitude and phase frequency characteristics of the closed-loop system with different tube lengths and inner diameters are also given.

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Section: Parameter Identificationmentioning

confidence: 99%

Section: Parameter Identificationmentioning

confidence: 99%

Section: Parameter Identificationmentioning

confidence: 99%

Section: Parameter Identificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sliding mode pressure controller for an electropneumatic brake: Part II—parameter identification and controller tests

Zhang

Zuo

2018

Proceedings of the Institution of Mechanical Engineers, Part I:

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A predictive control method to improve pressure tracking precision and reduce valve switching for pneumatic brake systems

Zhang

Peng

et al. 2021

IET Control Theory & Appl

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Pneumatic brake systems are crucial for the operation of trains. However, due to switching characteristics of on/off solenoid valves, the precise pressure control and low switching activities of valves are difficult to guarantee simultaneously during braking. To address the issue, a hybrid model predictive control (MPC) method is proposed for implementing the multi-objective optimisation in this paper, i.e. the precise pressure tracking and the valve switching reduction. In order to model the hybrid behaviour caused by continuous dynamics of the pressure and discrete features of solenoid valves, the mixed logic dynamical system theory is applied. Then, the braking control problem is recast as a hybrid MPC problem, which jointly optimises the pressure tracking precision and the valve switching. A mixed integer linear program is formulated to solve the MPC problem in an efficient way. Both simulation and experiment results show that the accurate pressure control and low switching activities of valves can be achieved by the proposed method when compared with existing methods.

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Practical hybrid model predictive control for electric pneumatic braking system with on-off solenoid valves

Zhao

Song

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part D:

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Accurate and rapid braking pressure regulation in electric pneumatic braking systems (EPBS) is vital to vehicle safety. Due to the switching behaviors of the on-off solenoid valves, the operation of the EPBS shows a hybrid nature with both continuous variables and discrete events, which raises the hybrid control problem. One of the possible solutions is to employ the hybrid model predictive controller with the mixed logical dynamical (MLD) model based on the linear approximation of the system dynamics. However, the nonlinearity and complexity of the EPBS make the MLD model obtained by linearizing the system equations directly require high storage and computing capacity. To address these issues, this article presents a practical hybrid model predictive controller based on the system dynamics simplified expressions considering the EPBS pressure variations caused by on-off solenoid valve states at the current sampling time and the last sampling time. The relationship between the pressure variations and the on-off solenoid valve states is first studied by the system mathematical model, followed by applying the mixed logic dynamical modeling approach to establish the hybrid model of the pressure continuous dynamics with discrete features of on-off solenoid valves. Based on these, a hybrid model predictive controller is formulated to solve the EPBS pressure control problem. The simulations and bench experiments are carried out to verify the controller. Besides, an existing model predictive control (MPC) controller is compared with the proposed controller. All the results demonstrate the effectiveness of the hybrid model predictive controller.

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Sliding mode pressure controller for an electropneumatic brake: Part I—plant model and controller design

Cited by 4 publications

References 12 publications

Sliding mode pressure controller for an electropneumatic brake: Part II—parameter identification and controller tests

Sliding mode pressure controller for an electropneumatic brake: Part II—parameter identification and controller tests

A predictive control method to improve pressure tracking precision and reduce valve switching for pneumatic brake systems

Practical hybrid model predictive control for electric pneumatic braking system with on-off solenoid valves

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