Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control

Summary This paper is devoted to investigating the stability of interconnected nonlinear fractional‐order systems via a single‐state variable control. First of all, based on stability theory, the Grönwall‐Bellman lemma and the Mittag‐Leffler function, the relevant stability results are derived. The...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 29; no. 18; pp. 6374 - 6397
Main Authors Yu, Zhongming, Sun, Yue, Dai, Xin, Ye, Zhaohong
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.12.2019
Subjects
Control stability
Control systems
Economic models
fractional order
interconnected nonlinear system
Nonlinear analysis
Nonlinear systems
single‐state variable control
Stability analysis
State variable
Subsystems
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Summary:Summary This paper is devoted to investigating the stability of interconnected nonlinear fractional‐order systems via a single‐state variable control. First of all, based on stability theory, the Grönwall‐Bellman lemma and the Mittag‐Leffler function, the relevant stability results are derived. The obtained results are general and can further extend the application range. Meanwhile, an improved single‐state variable control method is introduced. The control scheme only needs to control some state variable of the system or some subsystem(s) to realize and any additional restrictions are not added. Finally, the effectiveness of the obtained results is demonstrated by several typical examples. Besides, by comparison, simulation results show that the proposed control method can indeed decrease the design and control cost and improve flexibility of control.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.4725