A novel general theory of skyhook control is proposed and applied to the semi-active suspension control strategy design to improve the performance of the vehicle suspension system. Based on this theory, the mechanical impedance model of the general theory of skyhook suspension is established. To design the suspension structure, the effect of the skyhook element and its parameters on suspension is analyzed. Then, adaptive fish swarm algorithm based on nonlinear dynamic visual field is used to optimize the parameters of the general theory of skyhook control. To realize the general theory of skyhook control and verify it, a novel controllable inerter is designed and utilized into the semi-active suspension system. The simulation results demonstrate that the semi-active suspension with a general theory of skyhook control can enhance the suspension performance. Finally, the robustness of the general theory of skyhook control under different spring stiffness and sprung mass is researched. The results indicate that the suspension with the general theory of skyhook control has superior performance and robustness compared with the traditional skyhook damper controlled suspension and passive suspension. INDEX TERMS Semi-active suspension, skyhook control, mechanical impedance, controllable inerter.
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