Model reduction for robust control: A schur relative error method | Zendy

Safonov M. G. | Zendy; Chiang R. Y. | Zendy

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Model reduction for robust control: A schur relative error method

Author(s) -

Safonov M. G.,

Chiang R. Y.

Publication year - 1988

Publication title -

international journal of adaptive control and signal processing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.73

H-Index - 66

eISSN - 1099-1115

pISSN - 0890-6327

DOI - 10.1002/acs.4480020404

Subject(s) - realization (probability) , reduction (mathematics) , approximation error , mathematics , schur complement , model order reduction , truncation error , upper and lower bounds , truncation (statistics) , matrix (chemical analysis) , mathematical optimization , control theory (sociology) , algorithm , computer science , control (management) , mathematical analysis , eigenvalues and eigenvectors , statistics , physics , geometry , projection (relational algebra) , materials science , quantum mechanics , artificial intelligence , composite material

A numerically robust relative error method for state‐space model order reduction is described. Our algorithm is based on Desai's balanced stochastic truncation technique for which Green has obtained an L ∞ relative error bound. However, unlike previous methods, our Schur method completely circumvents the numerically delicate initial step of obtaining a minimal balanced stochastic realization of the power spectrum matrix G(s)G T (−s).

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