Title: Non-linear dynamics and control of an automotive suspension system based on local and global bifurcation analysis

Authors: Yeou-Feng Lue; Shun-Chang Chang

Addresses: Department of Industrial Education, National Taiwan Normal University, No. 162, Section 1, Heping East Road, Taipei City 10610, Taiwan ' Department of Mechanical and Automation Engineering, Da-Yeh University, No. 168, University Road, Dacun, Changhua 51591, Taiwan

Abstract: This paper details the non-linear dynamic behaviours and control of a non-linear semi-active suspension system using a quarter-car model under kinematic excitation by a road surface profile. The results of local and global bifurcation analysis indicate that the hysteretic non-linear characteristics of damping force cause the suspension system to exhibit codimension-two bifurcation, resulting in homoclinic orbits and a pitchfork bifurcation. The complex dynamic behaviour of automotive suspension systems was examined using a bifurcation diagram, phase portraits, a Poincaré map, and frequency spectra. We also used Lyapunov exponent to identify the occurrence of chaotic motion and verify our analysis. Finally, a dither signal control was used to convert chaotic behaviours into periodic motion. Simulation results verify the effectiveness of the proposed control method.

Keywords: codimension-two; bifurcation; chaotic; Lyapunov exponent; dither.

DOI: 10.1504/IJVAS.2017.10008272

International Journal of Vehicle Autonomous Systems, 2017 Vol.13 No.4, pp.340 - 359

Received: 01 Feb 2017
Accepted: 18 Jul 2017

Published online: 03 Oct 2017 *

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