NONLINEAR STABILITY BEHAVIOR OF A TRACTOR-SEMITRAILER IN DOWNHILL MOTION

Abstract
A stability analysis of the steady state straight line downhill motion of a tractor-semitrailer vehicle is given. In order to have, basically, also asymptotically stable motions of the system an active driver (controller) had to be included in the system. Using the methods of bifurcation theory we give a nonlinear stability analysis of the controlled system tractor-semitrailer-driver. Due to the controller in this system only Hopf-bifurcations occur at loss of stability. I.e. all instabilities are oscillatory. However, both stable and unstable limit cycles after bifurcation are found.

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