Int. J. Vehicle Design, Vol. 68, Nos. 1/2/3, 2015 119
Copyright © 2015 Inderscience Enterprises Ltd.
Load-dependent LPV/H
2
output-feedback control of
semi-active suspension systems equipped with MR
damper
Jaffar Seyyed Esmaeili* and Ahmad Akbari
Department of Electrical Engineering,
Sahand University of Technology,
P.O. Box: 51335/1996, Tabriz, Iran
Email: j_esmaeili@sut.ac.ir
Email: a.akbari@sut.ac.ir
*Corresponding author
Hamid Reza Karimi
Faculty of Engineering and Science,
Department of Engineering,
University of Agder,
N-4898 Grimstad, Norway
Email: hamid.r.karimi@uia.no
Abstract: This paper is concerned with the problem of load-dependent
H
2
control for vehicle semi-active suspension. A quarter-car model equipped
with a magnetorheological (MR)-damper, which captures essential features of a
real car suspension, is considered in this study. H
2
-norm measures the
root-mean-square (RMS) value of output to white noise input. Considering the
fact that road roughness is often modelled as white noise, H
2
-norm is used to
quantify control objectives of ride comfort and safety as well as suspension
deflection and control effort. To guarantee system performance against
parameter variations, a linear matrix inequality (LMI)-based design framework
has been utilised and a linear parameter-varying (LPV) controller is
synthesised. The design procedure of the semi-active suspension requires the
inverse dynamics of MR damper, which is obtained through a locally linear
neuro-fuzzy (LLNF) network. To illustrate the effectiveness of the proposed
approach, the system outputs for both impulse and real road inputs are
compared with H
∞
controller in terms of performances.
Keywords: semi-active suspension; LPV/H
2
control; H
∞
control; LMI;
MR damper.
Reference to this paper should be made as follows: Esmaeili, J.S., Akbari, A.
and Karimi, H.R. (2015) ‘Load-dependent LPV/H
2
output-feedback control
of semi-active suspension systems equipped with MR damper’, Int. J. Vehicle
Design, Vol. 68, Nos. 1/2/3, pp.119–140.
Biographical notes: Jaffar Seyyed Esmaeili received his BSc and MSc in
Control Systems Engineering from the Sahand University of Technology,
Tabriz, Iran, in 2009 and 2011, respectively. His research interests include