Computation of transfer function data from frequency response data with application to data-based root-locus. (April 2015)

• Record Type: Journal Article
• Authors: Hoogendijk, R.; van de Molengraft, M.J.G.; den Hamer, A.J.; Angelis, G.Z.; Steinbuch, M.
• Is Part Of: Control engineering practice. Volume 37(2015)
• Page Start: 20
• Page End: 31
• Publication Date: 2015-04
• Subjects: Data-based -- Transfer function data -- Frequency response data -- Cauchy -- Damping -- Root-locus; Automatic control -- Periodicals; 629.89
• DOI: 10.1016/j.conengprac.2014.11.010
• Languages: English
• ISSNs: 0967-0661

Abstract

Abstract: This paper describes the computation and use of transfer function data (TFD) computed from frequency response data of a system. TFD can be regarded as a sampled, data-based representation of the transfer function. TFD can be computed from frequency response data for stable, lightly damped systems using a Cauchy integral. Computational accuracy and complexity are extensively discussed. As a use-case of TFD it is shown that a root-locus can be computed in a data-based way, using only frequency response data of a system. Experiments on a benchmark motion system demonstrate the use of TFD in minimizing the settling time.