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This paper analyzes the loads and dynamic response of floating support structures and addresses the problem of designing semiactive controllers to mitigate the dynamic wind and wave loads on floating wind turbines. The output feedback control strategy is proposed to avoid the dependence on the knowledge of the system states. The H∞ output feedback control technique is used for formulating the semiactive control law, which is implemented using a tuned liquid column damper (TLCD). Numerical simulation is done to verify the obtained results.