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A Unified Study on Independent Modal Vibration Control of Complicated Dynamic Systems Possessing Complex Modes
|Contributors: ||NTOU:Department of Mechanical and Mechatronic Engineering|
|Issue Date: ||2011-06-28T07:38:24Z
abstract:The purpose of this project is to conduct a unified study on independent modal space control (IMSC) of complicated dynamic systems possessing complex modes. The independent modal space control has been known for its efficiency for targeting the control efforts on specific modes of interest only, thereby reducing the data storage requirement and computation time significantly. A specific mode to be controlled can be represented by a simple single degree of freedom system, disregarding how large the original physical system is. This author has indicated earlier that the approach as proposed by the IMSC pioneer developers suffers severe control spillover problems and may ultimately leads to instability, even for open-loop stable systems. An alternative control approach was thus proposed to rectify the situation. However, from the author’s recent study, it is feasible to take advantage of the originally unwanted control spillover for improved stability characteristics and better control performance by properly manipulating the complex eigenvectors. This project aims to unify the two approaches as proposed by the IMSC pioneer developers and this author so that better understanding and utilization of the technique can be realized. After completion of this stage of work, we intend to extend the technique on modal vibration control of periodic time-variant systems, as can be seen in rotor dynamic systems or pipes conveying pulsating fluids. Gyroscopic effects, which were discarded by some researchers to simplify the analysis, will be considered in this work for accurate study. Time-variant eigenvalue problems and problems with infinite determinants will be dealt with. The time-variant modal analysis will be performed to decouple the equations of motion from the physical space to the modal space. The periodic Riccati matrix equations will be solved to synthesize the control action. Finally, numerical demonstrations will be given to examine the characteristics of the control system designed. Both the concerns on stability and performance will be addressed.
|Appears in Collections:||[機械與機電工程學系] 研究計畫|
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