Robust pole assignment

Y. C. Soh; R. J. Evans; I. R. Petersen; R. E. Betz

doi:10.1016/0005-1098(87)90055-0

Robust pole assignment

Y. C. Soh^*
, R. J. Evans
, I. R. Petersen
, R. E. Betz

^*Corresponding author for this work

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

80 Citations (Scopus)

Abstract

This paper presents new theorems on the theory of interval matrix inequalities and the theory of polynomials with interval roots, and applies them to the problem of robust pole-placement. We formulate optimization problems and derive convergent iterative algorithms which allow the designer to find controllers that place closed-loop poles within desired intervals for plants with unknown-but-bounded parameter uncertainties. The algorithms are computationally reasonable and provide a useful addition to currently existing control CAD tools.

Original language	English
Pages (from-to)	601-610
Number of pages	10
Journal	Automatica
Volume	23
Issue number	5
DOIs	https://doi.org/10.1016/0005-1098(87)90055-0
Publication status	Published - Sept 1987
Externally published	Yes

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10.1016/0005-1098(87)90055-0

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title = "Robust pole assignment",

abstract = "This paper presents new theorems on the theory of interval matrix inequalities and the theory of polynomials with interval roots, and applies them to the problem of robust pole-placement. We formulate optimization problems and derive convergent iterative algorithms which allow the designer to find controllers that place closed-loop poles within desired intervals for plants with unknown-but-bounded parameter uncertainties. The algorithms are computationally reasonable and provide a useful addition to currently existing control CAD tools.",

keywords = "interval matrix inequalities (non-standard), Pole placement, robust control, stability, uncertain interval systems (non-standard)",

author = "Soh, \{Y. C.\} and Evans, \{R. J.\} and Petersen, \{I. R.\} and Betz, \{R. E.\}",

year = "1987",

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journal = "Automatica",

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T1 - Robust pole assignment

AU - Soh, Y. C.

AU - Evans, R. J.

AU - Petersen, I. R.

AU - Betz, R. E.

PY - 1987/9

Y1 - 1987/9

N2 - This paper presents new theorems on the theory of interval matrix inequalities and the theory of polynomials with interval roots, and applies them to the problem of robust pole-placement. We formulate optimization problems and derive convergent iterative algorithms which allow the designer to find controllers that place closed-loop poles within desired intervals for plants with unknown-but-bounded parameter uncertainties. The algorithms are computationally reasonable and provide a useful addition to currently existing control CAD tools.

AB - This paper presents new theorems on the theory of interval matrix inequalities and the theory of polynomials with interval roots, and applies them to the problem of robust pole-placement. We formulate optimization problems and derive convergent iterative algorithms which allow the designer to find controllers that place closed-loop poles within desired intervals for plants with unknown-but-bounded parameter uncertainties. The algorithms are computationally reasonable and provide a useful addition to currently existing control CAD tools.

KW - interval matrix inequalities (non-standard)

KW - Pole placement

KW - robust control

KW - stability

KW - uncertain interval systems (non-standard)

UR - https://www.scopus.com/pages/publications/0023417852

U2 - 10.1016/0005-1098(87)90055-0

DO - 10.1016/0005-1098(87)90055-0

M3 - Article

AN - SCOPUS:0023417852

SN - 0005-1098

VL - 23

SP - 601

EP - 610

JO - Automatica

JF - Automatica

IS - 5

ER -

Robust pole assignment

Abstract

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