Performance index for a preview active suspension applied to a quarter-carmodel

A simple and convenient matrix expression is derived for the performance in dex in the case of a linear vehicle model with two degrees of freedom and a preview active suspension, subject to a unit step road input and employing optimal control. The usual quadratic integral-type performance index is as sumed and the effect of an additional form of constraint is described brief ly. The effects of preview time on the performance index and the optimal fe ed-forward control are illustrated graphically for a particular example.