Study on Stability for Interconnected Uncertain Fractional-Order Systems Based on Vector-Bounded Technique

This brief studies with problem of stability for interconnected uncertain fractional-order systems (IUFSs). Consider time-varying norm-bounded uncertainties, model for the IUFS is built. On the basis of fractional calculus theory, new order-dependent stability criteria are obtained by vector-bounded...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 71; no. 2; pp. 667 - 671
Main Authors Yu, Zhongming, Sun, Yue, Dai, Xin
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Brushless motors
Circuit stability
D C motors
Electric motors
Fractional calculus
fractional order
Integrated circuit interconnections
Interconnected system
Interconnected systems
Power system stability
stability
Stability criteria
Uncertainty
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Summary:This brief studies with problem of stability for interconnected uncertain fractional-order systems (IUFSs). Consider time-varying norm-bounded uncertainties, model for the IUFS is built. On the basis of fractional calculus theory, new order-dependent stability criteria are obtained by vector-bounded technique of trivial solutions. Finally, validity of criteria is verified by a few examples. In comparison with existing works, the derived results are more general and extendable. In addition, related results can be applied to some practical systems, such as interconnected power systems and brushless DC motors (BLDCM) system. Two examples are given for illustration.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2022.3231710