Abstract
The present paper gives a comprehensive study on delay parameter identification in linear system with time-delayed control. For the cases when the state matrix is prior known and is prior unknown, identification algorithms are provided. For the former case, delay identifiability depends on the measurability of the outputs that serve as the delayed feedback; while for the latter case, the external input information, including the positions where the delayed control acts, is also a necessity. The algorithms are stated in a unified programming scheme because the main steps for the two cases are basically the same. To verify the algorithm, an experiment on an active vibration absorber and a simulation on an active truss are performed. The results show a good convergence and preciseness of the proposed algorithm.
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This research is supported by the National Natural Science Foundation of China under Grant No. 11572224.
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Zhang, X., Xu, J. (2017). Time-Delay Identification for Linear Systems: A Practical Method Using the Frequency Response Function. In: Insperger, T., Ersal, T., Orosz, G. (eds) Time Delay Systems. Advances in Delays and Dynamics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-53426-8_22
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DOI: https://doi.org/10.1007/978-3-319-53426-8_22
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