Title :
The infimum principle
Author :
Geering, Hans P. ; Athans, Michans
Author_Institution :
Oerlikon-Buehrle AG, Zurich, Switzerland
fDate :
10/1/1974 12:00:00 AM
Abstract :
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.
Keywords :
Estimation; Kalman filtering; Optimal control; Optimization methods; Control systems; Cost function; Covariance matrix; Estimation error; Games; NASA; Optimal control; Performance gain; State estimation; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1974.1100634
