New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay

New Criterion for the Stability of Discrete-Time Systems with State Saturation and Time-Varying Delay

The problem of global asymptotic stability analysis of discrete-time systems with state saturation and time-varying delay is investigated in this study. A new sufficient global asymptotic stability criterion is derived with the help of the reciprocal convex lemma and Wirtinger-based inequality for e...

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Veröffentlicht in:Journal of control, automation & electrical systems automation & electrical systems, 2023-08, Vol.34 (4), p.700-708
Hauptverfasser: Gupta, Pushpendra Kumar, Singh, Kalpana, Kandanvli, V. Krishna Rao, Kar, Haranath
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Control
Control and Systems Theory
Discrete time systems
Electrical Engineering
Engineering
Liapunov functions
Mechatronics
Robotics
Robotics and Automation
Stability analysis
Stability criteria
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Zusammenfassung:The problem of global asymptotic stability analysis of discrete-time systems with state saturation and time-varying delay is investigated in this study. A new sufficient global asymptotic stability criterion is derived with the help of the reciprocal convex lemma and Wirtinger-based inequality for estimating the sum terms in the forward difference of the Lyapunov function. Numerical examples showing the usefulness of the proposed results and comparison with the existing results are also given.
ISSN:2195-3880
2195-3899
DOI:10.1007/s40313-023-01005-5