Stability and Performance Analysis of Interfered Digital Systems with Generalized Overflow Nonlinearities

This paper investigates the problem of local stability for fixed-point interfered digital filters with generalized overflow nonlinearities. First, a familiar form of overflow nonlinearity function, covering the nonlinearities like zeroing, saturation, two's complement, and triangular is establi...

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Bibliographic Details
Published in:IFAC-PapersOnLine 2024, Vol.57, p.339-344
Main Authors: Jogi, Srinivasulu, Pulikonda, Mounika, Kokil, Priyanka
Format: Article
Language:English
Subjects:
Asymptotic stability
External interference
Generalized overflow nonlinearity
Limit cycle oscillations
Local stability
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Summary:This paper investigates the problem of local stability for fixed-point interfered digital filters with generalized overflow nonlinearities. First, a familiar form of overflow nonlinearity function, covering the nonlinearities like zeroing, saturation, two's complement, and triangular is established. Second, the asymptotic stability condition for the digital filters is formulated in local context without external interference. Third, with external interference the work is extended to investigate the local stability and to attain H∞ performance of the digital filter using generalized nonlinearity function. Further, the conventional global stability results can be established as special cases of presented local approach. Finally, sufficient numerical examples are presented to highlight the merit of proposed approach.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2024.05.058