Abstract

The classical one-mass model for road vehicle dynamics in lateral motion is considered as basic for such actual problems as: 4-wheel steering or fully automatic steering of cars. Starting from the robustness problem a decoupling scheme based on controlled servo has been proposed. This paper provides a stability analysis of this algorithm based on frequency methods for the classical problem of absolute stability. This approach is motivated by the uncertainty introduced by the tire-road characteristics: it leads to consider a class of nonlinear functions satisfying sector-type and slope restrictions. This stability analysis is directed finally to estimate a rather important merit figure of a road vehicle - the critical speed-introduced from stability considerations for the lateral motion.

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