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Calculation of the Second Order Settling Time in SISO Linear Systems

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Abstract

This paper clearly defines the second order settling time as a special and most important case of the generalized settling time. A new calculation procedure for second order settling time determination is developed, based on a decomposition of deterministic, random or mixed non-stationary signals in steady-state and transient components. A worked out example illustrates the computation procedure. The derived relations can be implemented in the form of computer programs. Although restricted to SISO linear systems, the procedure developed in this paper covers a lot of practical situations like those encountered in sensors and transducers modeling.

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Acknowledgements

This work was partially supported by the strategic Grant POSDRU/89/1.5/S/57649, Project ID 57649 (PERFORM-ERA), co-financed by the European Social Fund – Investing in People, within the Sectoral Operational Programme Human Resources Development 2007–2013.

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Authors and Affiliations

  1. Department of Measurements and Optical Electronics, University Politehnica from Timişoara, Bd. Vasile Parvan, Nr. 2, 300223, Timişoara, Romania

    Raul Ciprian Ionel & Alimpie Ignea

  2. Department of Applied Electronics, University Politehnica from Timişoara, Timişoara, Romania

    Sabin Ionel

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  1. Raul Ciprian Ionel
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  2. Sabin Ionel
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  3. Alimpie Ignea
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Correspondence to Raul Ciprian Ionel.

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Ionel, R.C., Ionel, S. & Ignea, A. Calculation of the Second Order Settling Time in SISO Linear Systems. Circuits Syst Signal Process 32, 375–385 (2013). https://doi.org/10.1007/s00034-012-9456-4

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  • DOI: https://doi.org/10.1007/s00034-012-9456-4

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