Robust state feedback control of wind-excited tall buildings

The introduction of robust control theory into structure control, as well as design procedure of stabilizing controllers for structures with parameter uncertainty and model error is discussed. A stability bound is derived from the polar decomposition of the nominal system matrix. In addition, our study shows that application of low pass filters avoids spillover by eliminating the unconsidered high frequency components. It is demonstrated, via an example, our approach leads to excellent control result and offers far better robustness than previous solutions.