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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| Published in | International journal of robust and nonlinear control Vol. 29; no. 18; pp. 6374 - 6397 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
01.12.2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.4725 |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| Author | Dai, Xin Sun, Yue Ye, Zhaohong Yu, Zhongming |
| Author_xml | – sequence: 1 givenname: Zhongming orcidid: 0000-0002-9584-6820 surname: Yu fullname: Yu, Zhongming organization: Chongqing University – sequence: 2 givenname: Yue surname: Sun fullname: Sun, Yue email: syue@cqu.edu.cn organization: Chongqing University – sequence: 3 givenname: Xin surname: Dai fullname: Dai, Xin organization: Chongqing University – sequence: 4 givenname: Zhaohong surname: Ye fullname: Ye, Zhaohong organization: Chongqing University |
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This paper is devoted to investigating the stability of interconnected nonlinear fractional‐order systems via a single‐state variable control. First of... This paper is devoted to investigating the stability of interconnected nonlinear fractional‐order systems via a single‐state variable control. First of all,... |
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| SubjectTerms | Control stability Control systems Economic models fractional order interconnected nonlinear system Nonlinear analysis Nonlinear systems single‐state variable control Stability analysis State variable Subsystems |
| Title | Stability analysis of interconnected nonlinear fractional‐order systems via a single‐state variable control |
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