Abstract
Since failures in sensors will degrade the performance of Active Mass Damper (AMD) control systems, a dynamic filter design method, a state observer design method, and a robust control strategy are developed and presented in this paper to overcome this deficiency. The filter design method will be transformed into a H2/H∞ control problem that can be solved by Linear Matrix Inequality (LMI) approach. Thus, it can be used to perform fault detection and isolation (FDI) for the control systems. And, the state observer design method uses the acceleration responses as the feedback signal. The detected and isolated fault signals in accelerometers are used to estimate the whole states that are used to calculate the control force though a robust control strategy based on regional pole-assignment algorithm. Then, the active fault-tolerant control (FTC) will be accomplished. To verify its effectiveness, the proposed methodology is applied to a numerical example of a ten-storey frame and an experiment of a single span four-storey steel frame. Both numerical and experimental results demonstrate that the performances of FTC controller and the control system will be improved by the designed dynamic FDI filter and that it can effectively detect and isolate fault signal.