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Stabilization of arbitrary switched nonlinear fractional order dynamical systems : application to Francis Hydro-Turbine Governing System
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Faraji Niri, Mona, Asadzadeh, Vahid and Rahmani Fard, Javad (2019) Stabilization of arbitrary switched nonlinear fractional order dynamical systems : application to Francis Hydro-Turbine Governing System. Information Technology and Control, 48 (3). pp. 401-414. 20470. doi:10.5755/j01.itc.48.3.20470
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Official URL: https://doi.org/10.5755/j01.itc.48.3.20470
Abstract
This paper is a theoretical and practical study on the stabilization of fractional order Lipschitz nonlinear systems under arbitrary switching. The investigated system is a generalization of both switched and fractional order dynamical systems. Firstly, a switched frequency distributed model is introduced as an equivalent for the system. Subsequently, a sufficient condition is obtained for the stabilizability of the system based on the Lyapunov approach. Finally, the results are extended to synthesis mode-dependent state feedback controller for the system. All the results are expressed in terms of coupled linear matrix inequalities, which are solvable by optimization tools and directly reducible to the conditions of the integer order nonlinear switching systems as well as the conventional non-switched nonlinear fractional order systems. The proposed method has various practical implications. As an example, it is utilized to control Francis hydro-turbine governing system. This system is represented as a switching structure and supposed to supply a load suffering abrupt changes driven by an arbitrary switching mechanism. The simulation results support the usefulness of the method.
| Item Type: | Journal Article | ||||||
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| Subjects: | Q Science > QA Mathematics T Technology > T Technology (General) T Technology > TA Engineering (General). Civil engineering (General) T Technology > TK Electrical engineering. Electronics Nuclear engineering T Technology > TL Motor vehicles. Aeronautics. Astronautics |
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| Divisions: | Faculty of Science, Engineering and Medicine > Engineering > WMG (Formerly the Warwick Manufacturing Group) | ||||||
| Library of Congress Subject Headings (LCSH): | Fractional powers, Dynamics , Time delay systems, Lyapunov stability , Control theory, Matrix inequalities, Switching theory , Hybrid systems | ||||||
| Journal or Publication Title: | Information Technology and Control | ||||||
| Publisher: | Kaunas University of Technology | ||||||
| ISSN: | 1392-124X | ||||||
| Official Date: | 24 September 2019 | ||||||
| Dates: |
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| Volume: | 48 | ||||||
| Number: | 3 | ||||||
| Page Range: | pp. 401-414 | ||||||
| Article Number: | 20470 | ||||||
| DOI: | 10.5755/j01.itc.48.3.20470 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access |
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