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Robust pole assignment in linear state feedback

KAUTSKY, J., NICHOLS, N. K., VAN DOOREN, P.·1985·International Journal of Control

Abstract

Numerical methods are described for determining robust, or well-conditioned, solutions to the problem of pole assignment by state feedback. The solutions obtained are such that the sensitivity of the assigned poles to perturbations in the system and gain matrices is minimized. It is shown that for these solutions, upper bounds on the norm of the feedback matrix and on the transient response are also minimized and a lower bound on the stability margin is maximized. A measure is derived which indicates the optimal conditioning that may be expected for a particular system with a given set of closed-loop poles, and hence the suitability of the given poles for assignment.

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Metadata

Authors
KAUTSKY, J., NICHOLS, N. K., & VAN DOOREN, P.
Venue
International Journal of Control
Published
1985-05
Volume
41
Issue
5
Pages
1129-1155
ISSN
  • 0020-7179 (ISSN-L)
  • 1366-5820
OpenAlex
W1970148674
Cited by
1,076
References
8
FWCI
42.10
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Robust pole assignment in linear state feedback. https://app.cochat.ai/papers/10.1080/0020718508961188
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KAUTSKY, J., NICHOLS, N. K., & VAN DOOREN, P. (1985). Robust pole assignment in linear state feedback. International Journal of Control. https://doi.org/10.1080/0020718508961188

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.