In this paper we study the optimal redesign of output trajectories for linear invertible systems. This is particularly important for tracking control of flexible structures because the input-state trajectories, that achieve tracking of the required output, may cause excessive vibrations in the structure. Therefore, a trade-off is required between tracking and vibration reduction. We pose and solve this problem, in the context of linear systems, as the minimization of a quadratic cost function. The theory is developed and applied to the output tracking of a flexible structure and experimental results are presented.
Experimental and Theoretical Results in Output-Trajectory Redesign for Flexible Structures
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Dewey, J. S., Leang, K., and Devasia, S. (December 1, 1998). "Experimental and Theoretical Results in Output-Trajectory Redesign for Flexible Structures." ASME. J. Dyn. Sys., Meas., Control. December 1998; 120(4): 456–461. https://doi.org/10.1115/1.2801486
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