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The infimum principle

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2 Author(s)
Geering, H. ; Oerlikon-Buehrle AG, Zurich, Switzerland ; Athans, M.

This paper reports a reasonably complete theory of necessary and sufficient conditions for a control to be superior with respect to a nonscalar-valued performance criterion. The latter maps into a finite-dimensional integrally closed directed partially ordered linear space. The applicability of the theory to the analysis of dynamic vector estimation problems and to a class of uncertain optimal control problems is demonstrated.

Published in:

Automatic Control, IEEE Transactions on  (Volume:19 ,  Issue: 5 )