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Erschienen in:
2014 | OriginalPaper | Buchkapitel
Research of the Optimal Algorithm in the Intelligent Materials
verfasst von : Enyu Jiang, Xiaojin Zhu, Zhiyan Gao, Weihua Deng
Erschienen in: Intelligent Computing in Smart Grid and Electrical Vehicles
Verlag: Springer Berlin Heidelberg
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Adopting piezoelectric material as sensors and actuators, active vibration control of a cantilever beam is studied in this paper based on Linear Quadratic Regulator (LQR). Firstly, the actuator equation, sensor equation, and the vibration equation is constructed, and then the vibration equation is converted to modal state equation using modal analysis method. Secondly, the optimal control law is given by LQR method, with the detailed control flow. Finally, the active vibration control simulation is done for the vibration suppression of a piezoelectric beam. The results show that the control performance for the step response of the first and second vibration modal is good, as well as the coupled modal of the first two modal. And the effectiveness of the proposed LQR method is verified.