Stability of Discrete-Time Delayed Systems Subject to External Interference and Generalized Overflow Nonlinearities

This article concerns the stability of delayed discrete-time systems (DTSs) through <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> performance under external interference and generalized overflow nonlinearities. The novel criteria...

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Published inIEEE transactions on industry applications Vol. 58; no. 4; pp. 5353 - 5364
Main Authors Singh, Kalpana, Gupta, Pushpendra Kumar, Chaurasia, Dinesh, Kandanvli, V. Krishna Rao
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control theory
Criteria
Delay effects
Delays
Digital filters
Discrete time systems
Discrete-time system (DTS)
exponential stability (ES)
external interference
generalized overflow nonlinearity (GON)
Interference
Nonlinearity
Optimization
Overflow
reciprocal convex inequality
Stability analysis
Stability criteria
Symmetric matrices
Time delay systems
Wirtinger-based inequality
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Abstract This article concerns the stability of delayed discrete-time systems (DTSs) through <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> performance under external interference and generalized overflow nonlinearities. The novel criteria that analyze the exponential stability of DTSs with constant state delays are presented. Moreover, an extension to attain the <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> performance is developed to handle the external interference of systems with time-varying delays based on Wirtinger-based inequality and reciprocal convex inequality. For such systems, the presented approach ensures zero-input overflow stability as well as robustness against interferences with a guaranteed <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> level. The presented methodology can also be applied to determine the minimum attenuation level to achieve the desirable performance specifications for the sake of hardware optimization. The presented criteria are less conservative than several existing criteria. The efficacy of the presented criteria is exemplified by examples.
AbstractList This article concerns the stability of delayed discrete-time systems (DTSs) through <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> performance under external interference and generalized overflow nonlinearities. The novel criteria that analyze the exponential stability of DTSs with constant state delays are presented. Moreover, an extension to attain the <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> performance is developed to handle the external interference of systems with time-varying delays based on Wirtinger-based inequality and reciprocal convex inequality. For such systems, the presented approach ensures zero-input overflow stability as well as robustness against interferences with a guaranteed <inline-formula><tex-math notation="LaTeX">{H_\infty }</tex-math></inline-formula> level. The presented methodology can also be applied to determine the minimum attenuation level to achieve the desirable performance specifications for the sake of hardware optimization. The presented criteria are less conservative than several existing criteria. The efficacy of the presented criteria is exemplified by examples.
This article concerns the stability of delayed discrete-time systems (DTSs) through [Formula Omitted] performance under external interference and generalized overflow nonlinearities. The novel criteria that analyze the exponential stability of DTSs with constant state delays are presented. Moreover, an extension to attain the [Formula Omitted] performance is developed to handle the external interference of systems with time-varying delays based on Wirtinger-based inequality and reciprocal convex inequality. For such systems, the presented approach ensures zero-input overflow stability as well as robustness against interferences with a guaranteed [Formula Omitted] level. The presented methodology can also be applied to determine the minimum attenuation level to achieve the desirable performance specifications for the sake of hardware optimization. The presented criteria are less conservative than several existing criteria. The efficacy of the presented criteria is exemplified by examples.
Author Singh, Kalpana
Chaurasia, Dinesh
Gupta, Pushpendra Kumar
Kandanvli, V. Krishna Rao
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crossref_primary_10_1007_s40313_023_01005_5
crossref_primary_10_3390_aerospace10110940
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crossref_primary_10_1080_1448837X_2024_2424622
crossref_primary_10_1177_01423312241260915
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Snippet This article concerns the stability of delayed discrete-time systems (DTSs) through <inline-formula><tex-math notation="LaTeX">{H_\infty...
This article concerns the stability of delayed discrete-time systems (DTSs) through [Formula Omitted] performance under external interference and generalized...
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SubjectTerms Control theory
Criteria
Delay effects
Delays
Digital filters
Discrete time systems
Discrete-time system (DTS)
exponential stability (ES)
external interference
generalized overflow nonlinearity (GON)
Interference
Nonlinearity
Optimization
Overflow
reciprocal convex inequality
Stability analysis
Stability criteria
Symmetric matrices
Time delay systems
Wirtinger-based inequality
Title Stability of Discrete-Time Delayed Systems Subject to External Interference and Generalized Overflow Nonlinearities
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