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A cone complementarity linearization algorithm for static output-feedback and related problems
Abstract
This paper describes a linear matrix inequality (LMI)-based algorithm for the static and reduced-order output-feedback synthesis problems of nth-order linear time-invariant (LTI) systems with n/sub u/ (respectively, n/sub y/) independent inputs (respectively, outputs). The algorithm is based on a "cone complementarity" formulation of the problem and is guaranteed to produce a stabilizing controller of order m/spl les/n-max(n/sub u/,n/sub y/), matching a generic stabilizability result of Davison and Chatterjee (1971). Extensive numerical experiments indicate that the algorithm finds a controller with order less than or equal to that predicted by Kimura's generic stabilizability result (m/spl les/n-n/sub u/-n/sub y/+1). A similar algorithm can be applied to a variety of control problems, including robust control synthesis.
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Cited by
A new method for stabilization of networked control systems with random delays
Zhang, L., Shi, Y., Chen, T., & Huang, B. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.852550 · Cited by 854
Robust Lateral Motion Control of Electric Ground Vehicles With Random Network-Induced Delays
Zhu, X., Zhang, H., Wang, J., & Fang, Z. (2015) · IEEE Transactions on Vehicular Technology · doi:10.1109/tvt.2014.2383402 · Cited by 97
Metadata
- Authors
- El Ghaoui, L., Oustry, F., & AitRami, M.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1997
- Volume
- 42
- Issue
- 8
- Pages
- 1171-1176
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2007784570
- Cited by
- 2,027
- References
- 0
- FWCI
- 41.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A cone complementarity linearization algorithm for static output-feedback and related problems. https://app.cochat.ai/papers/10.1109/9.618250
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- El Ghaoui, L., Oustry, F., & AitRami, M. (1997). A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.618250
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