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
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.
Int. J. of Vehicle Autonomous Systems, 2017 Vol.13, No.4, pp.340 - 359
Submission date: 27 Jan 2017
Date of acceptance: 18 Jul 2017
Available online: 03 Oct 2017