Stability Analysis of Combined Braking System of Tractor-Semitrailer Based on Phase-Plane Method

Ren, He; Jing, Zhecheng; Shen, Xiao-Min

doi:10.4271/02-11-02-0012

Cited by 5 publications

(5 citation statements)

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“…2 By analyzing the phase trajectory of the state point, the dynamic state of the vehicle can be more intuitively characterized. 1 Figure 8 presents the β phase plane of the tractor. The curve of the improved brake system is beneath the curve of the original system and is closer to (0, 0), which implies that the tractor equipped with the improved air brake system is more stable.…”

Section: Simulating the Improved Air Brake Systemmentioning

confidence: 99%

Section: Introducing An Improved Air Brake Systemmentioning

confidence: 99%

“…These vehicles are popular in China's auto market because of their high transportation efficiency and low cost of use. 1 The heavy loads and complex driving conditions in China pose a great challenge to the braking systems. Air brake systems can amplify the driver's pedal force by a large factor and provide a large braking force.…”

Section: Introductionmentioning

confidence: 99%

“…The brake system consists of pneumatic and mechanical subsystems, including an air compressor, storage reservoirs, spring brake chambers, and pneumatic valves, including the treadle valve, quick release valve, parking brake control valve, relay valve, service brake chamber, and trailer control valve. 1 When a driver presses the brake pedal, that is, when the braking begins, compressed air in the storage reservoir flows from the control pipeline to the next component. It passes through the trailer control valve and pipeline, which is 8.8 m long, before reaching the trailer, which causes the trailer brake to respond slowly.…”

Section: Introducing An Improved Air Brake Systemmentioning

confidence: 99%

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Electronic structural improvement and experimental verification of a tractor-semitrailer air brake system

Jing

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

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Brake time delay, which is a major shortcoming of air brake systems, may lead to precarious situations. In this study, the structure of an air brake system of a tractor–semitrailer was optimized by adding a shuttle valve and a two-position-three-port electromagnetic valve between the control pipeline and the charging pipeline downstream of the trailer control valve. The new electronically controlled structure clearly ensures that the semitrailer brakes faster, as validated by a simulation, bench test, and real-vehicle test. The simulation results reveal considerable improvements in the braking time, braking distance, longitudinal kinetic energy, lateral kinetic energy, and β phase plane. The bench test indicates that in the proposed structure, the average response time of service brake cylinders of the first and third axles of the semitrailer are 0.12 and 0.17 s, respectively. In addition, the real-vehicle test indicated that the service brake cylinders of the first and third axles responded 0.12 and 0.18 s earlier than those in the original system, respectively.

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Section: Simulating the Improved Air Brake Systemmentioning

confidence: 99%

Section: Introducing An Improved Air Brake Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introducing An Improved Air Brake Systemmentioning

confidence: 99%

See 2 more Smart Citations

Electronic structural improvement and experimental verification of a tractor-semitrailer air brake system

Jing

2020

Proceedings of the Institution of Mechanical Engineers, Part D:

Self Cite

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“…The Lyapunov and LaSalle theorems are not the only way to prove stability of an equilibrium point [26][27][28][29] and are not the best approaches to use in some cases [30][31][32][33] in order to prove stability of an equilibrium point, given the amount of calculations required and the method not being as intuitive compared to the graphical phase plane method [34][35][36][37]. The graphical phase plane method is somehow straightforward as this is a picture-based method and it has been used in many applications [38][39][40][41][42][43][44][45][46][47][48]. By looking at the vector field of the state, we can determine how the state evolves as time goes on, i.e., if the vector field goes towards the origin (suppose the equilibrium point is at the origin), then the equilibrium point is asymptotically stable, and otherwise it is not stable.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Equilibrium Point and Limit Cycle of Two-Dimensional Nonlinear Dynamical Systems—A Tutorial

Wei

2023

Applied Sciences

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The equilibrium state of a dynamical system can be divided into the equilibrium point and limit cycle. In this paper, the stability analysis of the equilibrium point and limit cycle of dynamical systems are presented through different and all possible approaches, and those approaches are compared as well. In particular, the author presented the stability analysis of the equilibrium point through phase plane approach, Lyapunov–LaSalle energy-based approach, and linearization approach, respectively, for two-dimensional nonlinear system, while the stability analysis of the limit cycle is analyzed by using the LaSalle local invariant set theorem and Poincaré–Bendixson theorem, which is only valid in two-dimensional systems. Different case studies are used to demonstrate the stability analysis of equilibrium point and limit cycle.

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Application of genetic fuzzy immune PID algorithm in cruise control for commercial vehicles

Jing

2020

AIP Advances

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Cruise control when driving downhill is one of the most important functions of commercial vehicles equipped with an auxiliary brake system. A genetic fuzzy immune PID algorithm is proposed to achieve a constant speed in this study. An immune feedback algorithm is used to adjust the proportional coefficient, and the fuzzy algorithm is used to adjust the integral coefficient and the differential coefficient. At the same time, the genetic algorithm is used to optimize the immune parameters to overcome the problem of improper selection of immune parameters, which results in large system overshoot and slow response. Simulation and experiment were also carried out to verify the effectiveness of the algorithm. The results show that the vehicle can keep the speed within ±2 km/h around the target speed. The analyses of lateral kinetic energy and the β phase-plane of both a tractor and a semitrailer indicate that braking stability is good when switching the retarder gear, which means the algorithm has a significant effect.

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Stability Analysis of Combined Braking System of Tractor-Semitrailer Based on Phase-Plane Method

Cited by 5 publications

References 0 publications

Electronic structural improvement and experimental verification of a tractor-semitrailer air brake system

Electronic structural improvement and experimental verification of a tractor-semitrailer air brake system

Stability Analysis of Equilibrium Point and Limit Cycle of Two-Dimensional Nonlinear Dynamical Systems—A Tutorial

Application of genetic fuzzy immune PID algorithm in cruise control for commercial vehicles

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