The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Pole assignment by gain output feedback
Abstract
This short paper deals with the problem of pole assignment with incomplete state observation. It is shown that if the system is controllable and observable, and ifn \leq r + m - 1, an almost arbitrary set of distinct closed-loop poles is assignable by gain output feedback, wheren, r, andmare the numbers of state variables, inputs and outputs, respectively. This result improves considerably the ones obtained so far about this problem. Different from the conventional approach using the characteristic equation, an approach based on the properties of the eigenspaces of the closed-loop dynamics is used in this short paper, which gives a new light on the various problems in the linear system theory. It is also shown, as a direct consequence of this result, that the minimum order of the dynamic compensator required for almost arbitrary pole assignment of overall closed-loop system is not greater thann - m - r + 1.
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Citations
Cites
Observers for multivariable systems
Luenberger, D. (1966) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1966.1098323 · Cited by 1,763
Mathematical Description of Linear Dynamical Systems
Kalman, R. E. (1963) · Journal of the Society for Industrial and Applied Mathematics Series A Control · doi:10.1137/0301010 · Cited by 1,738
On pole assignment in multi-input controllable linear systems
Wonham, W. (1967) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1967.1098739 · Cited by 912
Pole placement using dynamic compensators
Brasch, F., & Pearson, J. (1970) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1970.1099352 · Cited by 361
Davison, E., & Wang, S. (1973) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1973.1100219 · Cited by 184
Metadata
- Authors
- Kimura, H.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1975-08
- Volume
- 20
- Issue
- 4
- Pages
- 509-516
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2034552251
- Cited by
- 521
- References
- 5
- FWCI
- 27.05
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kimura, H. (1975). Pole assignment by gain output feedback. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1975.1101028
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