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On the determination of the optimal constant output feedback gains for linear multivariable systems
Abstract
The optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed. The problem is posed with the additional constraint that the control vectoru(t)is a linear time-invariant function of the output vectory(t) (u(t) = -Fy(t))rather than of the state vectorx(t). The performance criterion is then averaged, and algebraic necessary conditions for a minimizingF\astare found. In addition, an algorithm for computingF\astis presented.
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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
Cited by
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Parmar, K. P. S., Majhi, S., & Kothari, D. P. (2012) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2012.04.040 · Cited by 364
Gupta, V., Sharma, M., & Thakur, N. (2010) · Journal of Intelligent Material Systems and Structures · doi:10.1177/1045389x10381659 · Cited by 277
Controller design with regional pole constraints
Haddad, W. M., & Bernstein, D. S. (1992) · IEEE Transactions on Automatic Control · doi:10.1109/9.109638 · Cited by 256
Metadata
- Authors
- Levine, W., & Athans, M.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1970-02
- Volume
- 15
- Issue
- 1
- Pages
- 44-48
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2075341894
- Cited by
- 883
- References
- 1
- FWCI
- 62.73
- Type
- journal article
- Language
- en
- Open access
- closed
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- Levine, W., & Athans, M. (1970). On the determination of the optimal constant output feedback gains for linear multivariable systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1970.1099363
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