Design of active tuned mass damper based on robust control

In this paper, active tuned mass damper (ATMD) system uses the robust criterion to research system device and robust algorithm control effect. For robust control can improve the stability of the structure, the optimal controller is designed to achieve system performance. Based on the H^∞ control theory, we consider the structure-(ATMD) robust control. Analyse the robust stability and interference inhibition problem, when the closed-loop system and closed loop transfer function of the feedback controller in the control system is less than a given value. The control system is stable and can get certain performance criteria. The robustness to the design of controller is crucial. As structure system will be affected by different kinds of external interference and measurement noise. Also, the difference between the actual model and the mathematic model will affect the stability of the system. The structure-ATMD-H^∞ robust performance and the robust stability in frequency domain and time domain response will be analysed. And the system stability will be studied through the singular value curve, while the singular value analysis is selected to judge the robust stability and robust performance. Firstly, we establish dynamic equation of the model. And then, system dynamic equation is rewritten into state equation. We study the step response performance of structure-ATMD-H^∞ in frequency domain and time domain. In frequency domain, the singular value curve is used to describe the structure stability. Numerical simulation has shown that the H^∞ algorithm can enhance system stability and attenuate the system oscillation in time domain. Additionally, the H^∞ controller can increase the response velocity of the structural control system.