Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 701951, 19 pages
Research Article

The Design of LQG Controller for Active Suspension Based on Analytic Hierarchy Process

Institute of Automotive Engineering, College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Received 19 October 2009; Revised 9 March 2010; Accepted 23 April 2010

Academic Editor: Jerzy Warminski

Copyright © 2010 Lingjiang Chai and Tao Sun. 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.


A full vehicle model with seven degrees of freedom based on active suspension control is established, and linear quadratic gaussian (LQG) is designed by applying optimal control theory. Especially, the methodology of Analytic Hierarchy Process (AHP) is used to make the selection of weighted coefficients of performance indexes, which can reduce ineffective job in contrast with experience method. From the simulation results, it is shown that ride quality of the vehicle with active suspension has been effectively improved in comparison with the vehicle of passive suspension by the methodology of AHP applying to the selection of the weights.