NDLI: Stability and error bounds for discrete time frequency weighted balanced truncation

Content Provider	IEEE Xplore Digital Library
Author	Zhou, K. Zheng, Y. Lu, T.
Copyright Year	1993
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA (Zhou, K.; Zheng, Y.; Lu, T.)
Abstract	This paper considers the frequency weighted model reduction of discrete time systems. It is first shown that the frequency weighted balanced truncation always produces a stable lower order model if the weighting function is either only in the input or only in the output. This is in sharp contrast with Enns' continuous time results (1984) where certain controllability or observability condition of the reduced model is required to guarantee the stability of the reduced model. We then show that the frequency weighted balanced truncation can be used for relative or multiplicative error model reduction. Moreover, some explicit /spl Lscr//sub /spl infin//, norm error bounds are derived for the relative and multiplicative approximation errors in terms of the weighted singular values. Finally, it is shown that this model reduction method is in fact equivalent to the well known stochastic balance truncation.<>
Starting Page	2927
Ending Page	2928
File Size	186749
Page Count	2
File Format	PDF
ISBN	0780312988
DOI	10.1109/CDC.1993.325736
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1993-12-15
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Time frequency analysis Reduced order systems State-space methods Computer errors Discrete time systems Controllability Observability Approximation error Stochastic systems
Content Type	Text
Resource Type	Article

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