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Comparison of H∞ and μ-synthesis Control Design for Quarter Car Active Suspension System using Simulink

. Report and Opinion Journal, 12 (2): 41-54 (February 2020)
DOI: 10.7537/marsroj120220.07

Abstract

In order to improve the road handling and passenger comfort of a vehicle, suspension system is provided. An active suspension system is considered to be better than passive suspension system. In this paper, a linear quarter car active suspension system is designed, which subjected to different road disturbances. Since parametric uncertainty in the spring, damper and actuator has been considered, therefore robust control is used. H∞ and μ−synthesis controllers are used to improve the ride comfort and road handling ability of the car as well as to check the robust stability and performance of the system. In H∞ design, we design a controller for passenger comfort purpose and to keep the suspension deflection small and to reduce the road disturbance to suspension deflection. For the μ−synthesis design, we design a controller with hydraulic actuator and uncertainty model. We design a MATLAB/SIMULINK model for the active suspension system with the H∞ and μ−synthesis controllers and we made test using four road disturbance inputs (bump, random, sine pavement and slope) for suspension deflection, body acceleration and body travel for passive, active suspension with controller and active suspension without controller. Finally we compare the H∞ and μ−synthesis controllers with a Simulink model for suspension deflection, body acceleration and body travel simulation and the result shows that both designs give good performance but H∞ controller has superior performance as compared to μ−synthesis controller.

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