Although considerable effort has been put into the study of steady-state vibration control, there are few methods applicable to transient vibration control of rotor-bearing systems. In this paper optimal control theory has been adopted to minimize rotor vibration due to sudden imbalance, e.g., blade loss. The system gain matrix is obtained by choosing the weighting matrices and solving the Riccati equation. Control forces are applied to the system via a feedback loop. A seven mass rotor system is simulated for illustration. A relationshp between the number of sensors and the number of modes used in the optimal control model is investigated. Comparisons of responses are made for various configurations of modes, sensors, and actuators. Furthermore, spillover effect is examined by comparing results from collocated and noncollocated sensor configurations. Results show that shaft vibration is significantly attenuated in the closed-loop system.
Active Control of Transient Rotordynamic Vibration by Optimal Control Methods
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Palazzolo, A. B., Lin, R. R., Kascak, A. F., and Alexander, R. M. (April 1, 1989). "Active Control of Transient Rotordynamic Vibration by Optimal Control Methods." ASME. J. Eng. Gas Turbines Power. April 1989; 111(2): 264–270. https://doi.org/10.1115/1.3240246
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