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Computation of transfer function data from frequency response data with application to data-based root-locus
Affiliation:1. Department of Mechanical Engineering, Eindhoven University of Technology, Den Dolech 2, 5600 MB Eindhoven, The Netherlands;2. Philips Innovation Services, 7 High Tech Campus, 5656 AE Eindhoven, The Netherlands;3. SKF, Kelvinbaan 16, 3439 MT Nieuwegein, The Netherlands;1. University of Bayreuth, Mathematical Institute, Germany;2. Ruhr-University Bochum, Institute of Automation and Computer Control, Germany;1. Federal Technological University of Paraná, Av. Alberto Carazai, 86300-000 Cornélio Procópio, PR, Brazil;2. Department of Automation and Systems - Federal University of Santa Catarina, 88040-900 Florianópolis, SC, Brazil;1. German Aerospace Center (DLR), Oberpfaffenhofen, Germany;2. AIRBUS Flight Control Systems, Toulouse, France;3. DEIMOS-SPACE S.L.U., Madrid, Spain (now with the University of Bristol)
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.
Keywords:Data-based  Transfer function data  Frequency response data  Cauchy  Damping  Root-locus
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