Structural Optimal Control with a Tuned Mass Damper during an Earthquake

In this thesis I develop a mathematical model for a four story apartment building in a plane during a deterministic earthquake loading. The move-ment of the walls of the building is modeled with a bilinear hysteretic re-action force. A tuned mass damper system attached the the top floor of the structure controls the movement of the structure during the earthquake. The control law is developed using optimal control theory with an objec-tive functional that is quadratic in state and control. The existence of the control is demonstrated, while the actual control function is found numer-ically using the Miser3 package for Matlab. Content