Balanced Model Reduction and Control of Rotor-Bearing Systems
Journal of Engineering for Gas Turbines and Power
Aneffective technique is applied to the suppression of vibrations inflexible rotor-bearing systems with small gyroscopic effects. A balanced linear-quadratic-Gaussian(LQG) controller design procedure is implemented. The size of thecontroller is reduced in two stages by using (i) abalanced model reduction, and (ii) an LQG balanced reduction. Thecondition for a gyroscopic matrix is developed that allows oneto ignore the rotor gyroscopic effects in the process ofthe controller design, although they are included in the rotordynamics. The approach is illustrated on a typical rotor-bearing system represented by a 48 degree-of-freedom finite element model.
Sawicki, J.T., and Gawronski, W. (1997) Balanced Model Reduction and Control of Rotor-Bearing Systems. ASME Journal of Engineering for Gas Turbines and Power, 119(2), 456-463, doi: 10.1115/1.2815596.