Adaptive control design of structural systems

An adaptive H_∞ control for active mass damper systems subject to external perturbation is developed in this paper. This robust controller is composed by the sum of a linear term plus an adaptive component. The linear term is designed using linear matrix inequality (LMI) theory. Then, the adaptive term is added to improve controller performance in presence of external disturbance and system fault. Lyapunov theory is invoked to validate our control design. According with experiments, where a flexible two levels building with active mass damper under external perturbation is employed, they show that this adaptive term improves controller performance.