Stabilization of Discrete-Time Time-Varying Systems Subject to Unbounded Distributed Input Delays

The stabilization problem of two categories of discrete-time linear time-varying (LTV) systems subject to unbounded distributed input delays is investigated in this article. A truncated predictor feedback law is first built for a category of systems under some common assumptions. Then, under some we...

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Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 54; no. 12; pp. 7580 - 7591
Main Authors Guo, Yige, Gao, Qing, Lu, Jinhu, Feng, Gang
Format Journal Article
LanguageEnglish
Published IEEE 01.12.2024
Subjects
Adaptive control
Aerospace electronics
Delays
Discrete-time systems
Feedback control
Linear systems
Lyapunov methods
Numerical stability
predictor feedback controllers
Stability criteria
Time-varying systems
unbounded delays
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Summary:The stabilization problem of two categories of discrete-time linear time-varying (LTV) systems subject to unbounded distributed input delays is investigated in this article. A truncated predictor feedback law is first built for a category of systems under some common assumptions. Then, under some weakened assumptions, a predictor-type feedback law is developed for the other category of more general systems. The global exponential stability of the closed-loop systems is proved. Furthermore, the result on the truncated predictor feedback control law includes many existing results on LTV systems subject to bounded input delays and linear time-invariant (LTI) systems subject to unbounded input delays as special cases. Finally, the results of simulations validate the effectiveness of the developed control laws.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2024.3452713