Assessing transfer functions in control systems

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Assessing transfer functions in control systems. / Gribkova, Nadezhda ; Zitikis, Ričardas .

In: Journal of Statistical Theory and Practice, Vol. 13, No. 2, 35, 06.2019.

Research output: Contribution to journal › Article › peer-review

Author

Gribkova, Nadezhda ; Zitikis, Ričardas . / Assessing transfer functions in control systems. In: Journal of Statistical Theory and Practice. 2019 ; Vol. 13, No. 2.

BibTeX

@article{4e65067329aa417e81f8364e420374c5,

title = "Assessing transfer functions in control systems",

abstract = " When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural breaks and other abberations that require monitoring and quantification to aid decision making. The present paper develops such a methodology, which is based on an index of increase that naturally arises as the solution to an optimization problem. We show theoretically and illustrate numerically that the empirical counterpart of the index needs to be used with great care and in-depth knowledge of the problem at hand in order to achieve desired large-sample properties, such as consistency.",

keywords = "control system, transfer function, abberation, monotonicity, order statistic, concomitant, control system, transfer function, abberation, monotonicity, order statistic, concomitant",

author = "Nadezhda Gribkova and Ri{\v c}ardas Zitikis",

note = "Gribkova, N. & Zitikis, R. J Stat Theory Pract (2019) 13: 35. https://doi.org/10.1007/s42519-018-0035-2",

year = "2019",

month = jun,

doi = "doi.org/10.1007/s42519-018-0035-2",

language = "English",

volume = "13",

journal = "Journal of Statistical Theory and Practice",

issn = "1559-8608",

publisher = "Taylor & Francis",

number = "2",

}

RIS

TY - JOUR

T1 - Assessing transfer functions in control systems

AU - Gribkova, Nadezhda

AU - Zitikis, Ričardas

N1 - Gribkova, N. & Zitikis, R. J Stat Theory Pract (2019) 13: 35. https://doi.org/10.1007/s42519-018-0035-2

PY - 2019/6

Y1 - 2019/6

N2 - When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural breaks and other abberations that require monitoring and quantification to aid decision making. The present paper develops such a methodology, which is based on an index of increase that naturally arises as the solution to an optimization problem. We show theoretically and illustrate numerically that the empirical counterpart of the index needs to be used with great care and in-depth knowledge of the problem at hand in order to achieve desired large-sample properties, such as consistency.

AB - When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be even monotonic. In addition, they may have structural breaks and other abberations that require monitoring and quantification to aid decision making. The present paper develops such a methodology, which is based on an index of increase that naturally arises as the solution to an optimization problem. We show theoretically and illustrate numerically that the empirical counterpart of the index needs to be used with great care and in-depth knowledge of the problem at hand in order to achieve desired large-sample properties, such as consistency.

KW - control system

KW - transfer function

KW - abberation

KW - monotonicity

KW - order statistic

KW - concomitant

KW - control system

KW - transfer function

KW - abberation

KW - monotonicity

KW - order statistic

KW - concomitant

UR - https://link.springer.com/article/10.1007/s42519-018-0035-2

U2 - doi.org/10.1007/s42519-018-0035-2

DO - doi.org/10.1007/s42519-018-0035-2

M3 - Article

VL - 13

JO - Journal of Statistical Theory and Practice

JF - Journal of Statistical Theory and Practice

SN - 1559-8608

IS - 2

M1 - 35

ER -

ID: 45753094