A condition number scaling policy for stability robustness analysis | Zendy

Chanh Nguyen T. | Zendy; Barton Geoffrey W. | Zendy; Perkins John D. | Zendy; Johnston Richard D. | Zendy

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A condition number scaling policy for stability robustness analysis

Author(s) -

Chanh Nguyen T.,

Barton Geoffrey W.,

Perkins John D.,

Johnston Richard D.

Publication year - 1988

Publication title -

aiche journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.958

H-Index - 167

eISSN - 1547-5905

pISSN - 0001-1541

DOI - 10.1002/aic.690340716

Subject(s) - scaling , controllability , singular value , transfer function , norm (philosophy) , robustness (evolution) , mathematics , mathematical optimization , control theory (sociology) , computer science , control (management) , engineering , physics , biochemistry , eigenvalues and eigenvectors , geometry , chemistry , quantum mechanics , artificial intelligence , political science , law , electrical engineering , gene

The 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 l 2 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 l 2 norm optimal scaling.

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