Existence of a state feedback controller with minimized auxiliary entropy design problem will be explained in this paper. This state feedback controller will achieve multiple performance constraints for linear discrete systems. These constraints include individual state variance constraints. H.. norm constraints and regional pole assignment constraints. By achieving the previous three requirements, the state feedback controller can then be solved through use of the singular value decomposition (SVD) techniques and the theory of generalized inverses. An example will be provided to demonstrate the effectiveness of the present methodology.

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