The explicit relation between component cost analysis and balanced coordinates

Abstract

To provide a mathematical basis for a systematic analysis of high gain state feedback, one must first understand limits of generalized state-space systems under transformations by restricted system equivalence. This is the basic question addressed in the paper. The relationship between balanced coordinates and cost-decoupled coordinates are given. When the output and weight matrices are appropriately defined the cost-decoupled coordinates produce the balanced coordinates as a special case.<>