In this article, a discrete-continuous vibrating system has been considered, which can be treated as a half-vehicle model with an active suspension moving on a randomly profiled road. A model reference adaptive controller has been proposed for active vibration control via active suspension. The reference model is a conceptual active discrete-continuous vibrating system with structural damping for body and skyhook dampers on the suspensions and with an optimal suspension controller. This conceptual optimal active model is designed based on optimal control theory and is used as the reference for the model reference adaptive controller. The adaptive controller has been designed based on the Lyapunov stability theory. Finally, the system has been simulated on a personal computer, and responses to some realistic road signals have been obtained. The results then have been compared to the performance of optimal passive suspension system to show improvements of ride comfort and safety.
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