Stability and Oscillations in a Time-Delayed Vehicle System with Driver Control |
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| Authors: | Liu Zhaoheng Payre Guy Bourassa Paul |
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| Institution: | (1) Department of Mechanical Engineering, École de technologie supérieure, University of Quebec, Montreal, Quebec, H3C 1K3, Canada (e-mail;(2) Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, Quebec, J1K 2R1, Canada |
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| Abstract: | In this paper, linear stability and chaotic motion of a time-delayednonlinear vehicle system are studied. The stability is determined bycomputing the spectrum associated with a system of linear retardedfunctional differential equations, which reveals that a loss ofstability occurs following a Hopf bifurcation. Beyond the critical valuefor linear stability, the system exhibits limit cycle motions.Subharmonic, quasi-periodic and chaotic motions are observed for asystem excited by a periodic disturbance. |
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| Keywords: | time-delayed system vehicle lateral dynamics stability nonlinear oscillations eigenvalues chaos |
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