When is a controller optimal in the sense of H-infinity loop-shaping?
Feng J. and Smith M.C.
IEEE Transactions on Automatic Control, Volume 40, Number 12, Pages 2026-2039, December 1995Abstract
In this paper we characterize the controllers which are possible solutions of a certain H-infinity control design problem. The problem considered is the optimal robustness problem for (weighted) normalized coprime factor/gap metric uncertainty, which is the basis for the Glover-McFarlane H-infinity loop-shaping design method. Given a plant P and a corresponding controller C we ask if C can be obtained from the optimization procedure for some choice of weighting function. This paper considers single-input/single-output systems and gives necessary and sufficient conditions for optimality which involve right half plane pole/zero counts and a certain winding number test based on the Nyquist diagram of PC. The results give a characterization of this class of H-infinity-optimal designs in the language of classical control.
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BibTex Entry
- @Article{,
- author = {Feng J. and Smith M.C.},
- journal = {IEEE Transactions on Automatic Control},
- title = {When is a controller optimal in the sense of H-infinity loop-shaping? },
- year = {1995},
- month = {December},
- number = {12},
- pages = {2026-2039},
- volume = {40}
- }
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