The sampled-data boundary control problem for a longitudinal flexible bar is formulated as a linear discrete-time control problem in an infinite-dimensional state space. With zero-order-hold applied to the control channel, the system is lifted into an infinite sequence of constant control problems. The finite-dimensional approximation of the discrete-time system is controllable-observable if the sampling period satisfies some inequality constraints, which are related to the associated eigenvalues.
A Sampled-Data Formulation for Boundary Control of a Longitudinal Elastic Bar
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 1999; revised July 2000. Associate Editor: J. Q. Suu.
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Su, W., Drakunov, S. V., and O¨zgu¨ner, U. (July 1, 2000). "A Sampled-Data Formulation for Boundary Control of a Longitudinal Elastic Bar ." ASME. J. Vib. Acoust. April 2001; 123(2): 245–249. https://doi.org/10.1115/1.1350568
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