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Mathematical Problems in Engineering
Volume 2017, Article ID 4045796, 8 pages
Research Article

Random Modeling and Control of Nonlinear Active Suspension

School of Mathematics and Information Science, Yantai University, Yantai, Shandong Province 264005, China

Correspondence should be addressed to Mingyue Cui; moc.621@ymceuygnim

Received 10 March 2017; Accepted 8 May 2017; Published 30 May 2017

Academic Editor: Weihai Zhang

Copyright © 2017 Mingyue Cui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


For a quarter car with nonlinear active suspension in rough road, the problem of random modeling and control is considered. According to the relative motion principle, the influence of rough road can be seen as that force is disturbed by the noise and a random model is constructed. By an appropriate transform, the model is transformed into a lower triangular system, which can be used as backstepping method. Then a controller is designed such that the mean square of the state converges to an arbitrarily small neighborhood of zero by tuning design parameters. The simulation results illustrate the effectiveness of the proposed scheme. Therefore, the active suspension system offers better riding comfort and vehicle handing to the passengers.