ABSTRACT
This chapter presents an integrated health monitoring and vibration control system in the time domain in terms of the projection matrix and the extended Kalman filter for simultaneous consideration of vibration mitigation and time-invariant parameter identification of building structures without the knowledge of the external excitations. It provides a real-time integrated system of health monitoring and vibration control to accurately identify time-varying structural parameters without knowing excitations on the one hand, and to effectively reduce excessive vibrations of the building structure with time-varying structural parameters on the other hand. When a building structure is subjected to external excitations, such as a severe earthquake or strong wind, extensive vibration of the building structure may be induced. The basic equations for the semi-active control of the building structure with magneto-rheological dampers and clipped optimal displacement control algorithm are put forward based on the updated time-varying structural parameters and unknown excitations.
