On the minimization of quadratic functions with bilinear constraints via augmented Lagrangians |
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| Authors: | L Carotenuto G Raiconi |
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| Institution: | (1) Department of Electrical Engineering, University of Florida, Gainesville, Florida;(2) Department of Electronics, Computers, and Systems, University of Bologna, Bologna, Italy |
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| Abstract: | In the present paper, a new set of necessary and sufficient conditions is given for the regulator problem with plant stability in the presence of disturbances. Significant features of these conditions are the simplicity of their statement and the immediacy of their meaning in the context of the geometric approach. The proof is based on arguments which are extensions of those developed in Part 1 for the more restricted problem of disturbance localization by dynamic compensation with stability. The sufficiency of conditions is proved by a constructive procedure, which may be used as part of an actual regulator synthesis method.This research has been supported in part by MPI, Rome, Italy. |
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| Keywords: | Tracking regulation dynamic compensation controlled invariants conditioned invariants geometric approach |
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