Active vibration control of structural systems with Hinfinity controller based on linear matrix inequalities

This Graduate Thesis is concerned with the active vibration control of a six-degree-of-freedom-structure, which is effected by earthquakes. To obtain desired time history and frequency responses for solution of active vibration control problem, linear matrix inequality (LMI) based output-feedback dynamic H? controller and state-feedback H? controller is designed in this thesis. The time history of ground motion of the El-Centro, Kobe and Kocaeli earthquakes, which are disturbance inputs, are applied to modeled structure. At the end of the Graduate Thesis, the time history of the storey displacements and accelerations; the time history of all storeys pick to pick displacements and accelerations; variety of controller force and frequency responses of both controlled and uncontrolled cases are presented and results are discussed. Performance of the designed two types of controllers have been shown for the different loads and disturbances using ground motion of the El-Centro, Kobe and Kocaeli earthquakes.