Multiobjective H2/H∞ by banach space operator theory
AuthorDjouadi, S. M.
Charalambous, Charalambos D.
Repperger, D. W.
SourceProceedings of the IEEE Conference on Decision and Control
Proceedings of the IEEE Conference on Decision and Control
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In this paper Banach space duality theory and operator theory are combined to show that the optimal performance index in the multiobjective H2/H∞ is equal to the operator induced norm of a particular operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assumption, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/H∞ problem.