The finite inclusions theorem: a tool for robust design

Theodore E. Djaferis

Kybernetika (1998)

  • Volume: 34, Issue: 6, page [625]-634
  • ISSN: 0023-5954

Abstract

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Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design.

How to cite

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Djaferis, Theodore E.. "The finite inclusions theorem: a tool for robust design." Kybernetika 34.6 (1998): [625]-634. <http://eudml.org/doc/33394>.

@article{Djaferis1998,
abstract = {Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design.},
author = {Djaferis, Theodore E.},
journal = {Kybernetika},
keywords = {robust controller design; finite inclusions theorem (FIT); FIT-based algorithms; robust asymptotic tracking; robust stabilization; robust asymptotic tracking; robust noise attenuation; robust controller design; finite inclusions theorem (FIT); FIT-based algorithms; robust asymptotic tracking; robust stabilization; robust asymptotic tracking; robust noise attenuation},
language = {eng},
number = {6},
pages = {[625]-634},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The finite inclusions theorem: a tool for robust design},
url = {http://eudml.org/doc/33394},
volume = {34},
year = {1998},
}

TY - JOUR
AU - Djaferis, Theodore E.
TI - The finite inclusions theorem: a tool for robust design
JO - Kybernetika
PY - 1998
PB - Institute of Information Theory and Automation AS CR
VL - 34
IS - 6
SP - [625]
EP - 634
AB - Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design.
LA - eng
KW - robust controller design; finite inclusions theorem (FIT); FIT-based algorithms; robust asymptotic tracking; robust stabilization; robust asymptotic tracking; robust noise attenuation; robust controller design; finite inclusions theorem (FIT); FIT-based algorithms; robust asymptotic tracking; robust stabilization; robust asymptotic tracking; robust noise attenuation
UR - http://eudml.org/doc/33394
ER -

References

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  1. Djaferis T. E., Robust Control Design: A Polynomial Approach, Kluwer Academic Publishers, Boston 1995 
  2. Doyle J. C., Francis B. A., Tannenbaum A. L., Feedback Control Theory, MacMillan, New York 1992 
  3. Khargonekar P. P., Tannenbaum A., 10.1109/TAC.1985.1103805, IEEE Trans. Automat. Control 30 (1985), 10, 1005–1013 (1985) Zbl0592.93044MR0804138DOI10.1109/TAC.1985.1103805
  4. Ogata K., Modern Control Engineering, Third edition. Prentice Hall, Englewood Cliffs, N. J. 1997 Zbl0756.93060

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