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This paper presents an adaptive control strategy with LQ control of aquarter-car, which is ameliorated to smoothly follow the dynamically changingreference arm angle, in order to omit the heave sensor in this study.Linearized plant parameters are initially derived from model equation and thenestimated by online estimator. LQ control method provides optimal controleffort with corresponding estimated plant parameters. The results of thesimulation are depicted in time domain. Weighted RMS values of the consequencesare suggested to assess the efficiency of the controller. Different roadconditions are considered in order to reveal the performance of the controllerin detail.

Adaptive control for trailing arm suspension with hydraulic cylinder spring under practical constraints