In this paper, we propose a deterministic off-line identification method performed by using input and output data with a constant steady-state output response. The method can directly acquire any order of reduced model without knowing the real order of a plant, in such a way that the intermediate parameters are uniquely determined so as to be orthogonal with respect to -tuple integral values of output error and irrelevant to the unmodeled dynamics. From the intermediate parameters, the co-efficients of a rational transfer function are calculated. In consequence, the method can be executed for any linear single-input single-output plant without knowing or estimating its order at the beginning. The effectiveness of the method is illustrated by numerical simulations and also by applying it to a two-mass system.
An Identification Method With Direct Acquisition of Reduced Order Model From a Steplike Response
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division November 5, 2002; final revision, January 24, 2004. Review conducted by: F. Ghorbel.
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Kosaka, M., Uda, H., and Shibata, H. (March 11, 2005). "An Identification Method With Direct Acquisition of Reduced Order Model From a Steplike Response ." ASME. J. Dyn. Sys., Meas., Control. December 2004; 126(4): 746–752. https://doi.org/10.1115/1.1852462
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