LQR control of along-wind response of a tall building

Modern tall buildings using high strength and lighter construction materials are more flexible so could be excessive wind-induced vibrations resulting in occupant discomfort and structural unsafety. Recently, many studies have been advanced in using actuator force as an active control force based on the linear quadratic optimum control theory. It needs to predict the wind-induced response and the optimum control force to reduce the excessive wind-induced vibration. It takes a lot of time and cost to do wind tunnel test needed it, so numerical simulation approach instead of that is recommended sometimes. Simulating wind load in the time domain using known spectra data of fluctuating wind load is particularly useful for some prediction of wind-induced vibration which is more or less narrow banded process such as a along-wind response of a tall building. In this study, fluctuating along-wind load acting on a tall building treated as a stationary Gaussian white noise process was simulated numerically in the time domain using the along-wind load spectra proposed by G.Solari in 1992. And using this simulated along-wind load estimated the reduced along-wind vibration response of a tall building which has an active tuned mass damper (ATMD) installed based on the linear quadratic regulator(LQR)control method.