Dynamical Systems and Control
Vol.3 No.03(2014), Article ID:13844,5 pages
DOI:10.12677/DSC.2014.33007

Controlling Chaotic Vibration of Vehicle Suspension by Sliding Mode Control

Guan Huang1, Canchang Liu2, Junjie Cui3

1School of Mechanics and Power Engineering, North University of China, Taiyuan

2School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo

3College of Mechatronic Engineering, North University of China, Taiyuan

Email: wwwhuangguan@126.com

Received: May 14th, 2014; revised: May 26th, 2014; accepted: Jul. 8th, 2014

The suspension system is a key component of the car, and it has a significant impact on the car ride. Through the establishment of a single degree of freedom quarter car model we obtain dynamic equation. We use Runge-Kutta method for numerical analysis of the system equations and obtain parameters by changing the amplitude of the system and reveal the critical amplitude chaos. By MATLAB/SIMULINK software analysis, sliding mode control can be used to solve the problem of strong nonlinear vibration and achieve real-time control of suspension system, and it has good robustness.

Keywords:Suspension, A Quarter-Car Model, Chaos, Sliding Mode Control

1中北大学机械与动力工程学院，太原

2山东理工大学交通与车辆工程学院，淄博

3中北大学机电工程学院，太原

Email: wwwhuangguan@126.com

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Figure 1. Single degree of freedom 1/4 car model

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Figure 2. (a) and (b) The time course curve and phase trajectory when A = 0.25; (c) and (d) Time history curves and phase trajectory when A = 0.41

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Figure 3. Time course curve of system and tracking signal curve after control

Figure 4. Time course curve of control signal

Figure 5. Phase trajectories

1. [1]  郭大蕾, 胡海岩 (2002) 基于磁流变阻尼器的车辆悬架半主动控制研究——间接自适应控制与实验. 振动工程学报, 3, 285-288.

2. [2]  盛云, 吴光强 (2008) 汽车非线性悬架的混沌研究. 汽车工程, 1, 57-60.

3. [3]  吴光强, 盛云 (2010) 混沌理论在汽车非线性系统中的应用进展. 机械工程学报, 10, 81-87.

4. [4]  余志生 等 (2006) 汽车理论. 机械工业出版社, 北京.

5. [5]  Li, S., Yang, S. and Guo, W. (2004) Investigation on chaotic motion in histeretic non-linear suspension system with multi-frequency excitations. Mechanics Research Communications, 31, 229-36.

6. [6]  Litak, G., Borowiec, M., Friswell, M. and Szabelski, K. (2008) Chaotic vibration of a quarter-car model excited by the road surface profile. Communications in Nonlinear Science and Numerical Simulation, 13, 1373-1383.

7. [7]  陈树辉, 等 (2007) 强非线性振动系统的定量分析. 北京科学出版社, 北京.