Improved state-space criteron for global asymptotic stability of fixed-point state-space digital filters with saturation arithmetic

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Date

2007

Authors

Sıngh, Vımal

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King Fahd Univ Petroleum Minerals

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Department of Mechatronics Engineering
Our purpose in the program is to educate our students for contributing to universal knowledge by doing research on contemporary mechatronics engineering problems and provide them with design, production and publication skills. To reach this goal our post graduate students are offered courses in various areas of mechatronics engineering, encouraged to do research to develop their expertise and their creative side, as well as develop analysis and design skills.

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Abstract

A state-space criterion for the global asymptotic stability of fixed-point state-space digital filters using saturation overflow arithmetic is presented. The criterion is derived by exploiting a novel structural property of the system under consideration and, hence, is quite distinct from the previous criteria. In particular, a comparison of the present criterion with an earlier criterion due to Kar and Singh is made. The comparison reveals that the present criterion is less restrictive than Kar-Singh's criterion. Two examples showing the effectiveness of the present approach are given.

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asymptotic stability, digital filters, discrete-time dynamical systems, finite wordlength effects, limit cycles, nonlinear systems

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2

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Volume

32

Issue

2B

Start Page

317

End Page

326

URI

https://hdl.handle.net/20.500.14411/8703

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