The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
Robust pole assignment in linear state feedback
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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Cites
The algebraic eigenvalue problem
Wilkinson, J. H. (1965) · Cited by 5,833
Linear Multivariable Control: a Geometric Approach
Wonham, W. M. (1979) · Springer eBooks · doi:10.1007/978-1-4684-0068-7 · Cited by 2,997
Dongarra, J. J., Moler, C. B., Bunch, J. R., & Stewart, G. W. (1979) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611971811 · Cited by 1,738
Matrix Eigensystem Routines — EISPACK Guide
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The generalized eigenstructure problem in linear system theory
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Eigenvalue-generalized eigenvector assignment with state feedback
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Pennington, W., & Sackin, M. J. (1975) · New Phytologist · doi:10.1111/j.1469-8137.1975.tb01405.x · Cited by 100
Modal control of linear time invariant systems
Mayne, D. Q., & Murdoch, P. (1970) · International Journal of Control · doi:10.1080/00207177008905901 · Cited by 46
Cited by
On condition numbers and the distance to the nearest ill-posed problem
Demmel, J. W. (1987) · Numerische Mathematik · doi:10.1007/bf01400115 · Cited by 302
Attack detection and identification for automatic generation control systems
Ameli, A., Hooshyar, A., El-Saadany, E. F., & Youssef, A. M. (2018) · IEEE Transactions on Power Systems · doi:10.1109/tpwrs.2018.2810161 · Cited by 222
A Wavelet‐Based Adaptive Pole Assignment Method for Structural Control
Amini, F., & Samani, M. Z. (2014) · Computer-Aided Civil and Infrastructure Engineering · doi:10.1111/mice.12072 · Cited by 70
Metadata
- Authors
- KAUTSKY, J., NICHOLS, N. K., & VAN DOOREN, P.
- Venue
- International Journal of Control
- Publisher
- Informa UK Limited
- 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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- 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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