The vibration control of a slewing flexible structure by collocated and noncollocated feedback is presented in this paper. A stability criterion derived from the root locus method in frequency domain is applied to predict the closed-loop system stability of the distributed parameter model whose analytical transfer functions are formulated. It is shown that the control law design requires neither distributed state sensing/estimation nor functional feedback gain; moreover, the spillover problem associated with discrete parameter model can be prevented. Implementation of the noncollocated feedback in a slewing beam experiment validates that the control law is effective in pointing accuracy while suppressing the tip vibration.
Controller Design of a Distributed Slewing Flexible Structure—A Frequency Domain Approach
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Yang, S. M., Jeng, J. A., and Liu, Y. C. (December 1, 1997). "Controller Design of a Distributed Slewing Flexible Structure—A Frequency Domain Approach." ASME. J. Dyn. Sys., Meas., Control. December 1997; 119(4): 809–814. https://doi.org/10.1115/1.2802394
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