Abstract

AbstractThe condition number of the process transfer function G(s) has been proposed and used as an indicator of the inherent controllability of a process even though it is a scale‐dependent quantity. A rapid suboptimal scaling policy known as G‐balancing is developed for the case of the l2 norm where the condition number is the ratio of the largest to the smallest singular value of G(s). For 2 × 2 systems, G‐balancing gives the same optimal scaling as an available analytical solution. The higher order examples given compare the results of G‐balancing with the known analytic results for l2 norm optimal scaling.

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