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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

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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
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
Divisions: Faculty of Science > 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:
DateEvent
24 September 2019Published
3 August 2019Accepted
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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