This paper presents an application of one model based adaptive mechanism for skyhook controls, which is developed from the gradient search method that can be found out from LMS (least mean square) adaptive filters and other optimization routines. Since plant and operation variations could worsen vibration isolation performance of the traditionally-implemented skyhook controls, the rationale to embed adaptive mechanism into skyhook controls is to achieve more robust and consistent vibration control performance. The adaptation introduced here can help to find out optimal skyhook gains under broadband random vibrations. In this paper, the formulation of this model based adaptive algorithm is derived from a one-DOF base excited vibration system with application of magneto-rheological (MR) dampers. A nonparametric model is adopted to represent the applied MR damper. Based on the dynamic model derived for this studied MR suspension, the algorithm is elaborated. Furthermore, the adaptive semiactive system stability is briefly discussed. Finally the simulation study demonstrates the effectiveness of the adaptive skyhook controls.

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