Research Papers

Robust Reliable Control for Uncertain Vehicle Suspension Systems With Input Delays

[+] Author and Article Information
R. Sakthivel

Department of Mathematics,
Sungkyunkwan University,
Suwon 440-746, South Korea
Department of Mathematics,
Sri Ramakrishna Institute of Technology,
Coimbatore 641 010, India
e-mail: krsakthivel@yahoo.com

A. Arunkumar, K. Mathiyalagan

Department of Mathematics,
Anna University-Regional Centre,
Coimbatore 641 047, India

S. Selvi

Department of Mathematics,
Chettinad College of Engineering and Technology,
Karur 639 114, India

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 7, 2014; final manuscript received October 7, 2014; published online November 7, 2014. Assoc. Editor: Fu-Cheng Wang.

J. Dyn. Sys., Meas., Control 137(4), 041013 (Apr 01, 2015) (13 pages) Paper No: DS-14-1104; doi: 10.1115/1.4028776 History: Received March 07, 2014; Revised October 07, 2014

Synthesis of control design is an essential part for vehicle suspension systems. This paper addresses the issue of robust reliable H control for active vehicle suspension system with input delays and linear fractional uncertainties. By constructing an appropriate Lyapunov–Krasovskii functional, a set of sufficient conditions in terms of linear matrix inequalities (LMIs) are derived for ensuring the robust asymptotic stability of the active vehicle suspension system with a H disturbance attenuation level γ. In particular, the uncertainty appears in the sprung mass, unsprung mass, damping and stiffness parameters are assumed in linear fractional transformation (LFT) formulations. More precisely, the designed controller is presented in terms of the solution of LMIs which can be easily checked by Matlab-LMI toolbox. Finally, a quarter-car suspension model is considered as an example to illustrate the effectiveness and applicability of the proposed control strategy.

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Grahic Jump Location
Fig. 1

Quarter-car model with active suspension

Grahic Jump Location
Fig. 2

Suspension deflection

Grahic Jump Location
Fig. 5

Unsprung mass speed

Grahic Jump Location
Fig. 6

Sprung mass acceleration

Grahic Jump Location
Fig. 8

Suspension deflection

Grahic Jump Location
Fig. 10

Sprung mass speed

Grahic Jump Location
Fig. 11

Unsprung mass speed

Grahic Jump Location
Fig. 12

Sprung mass acceleration



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