Fault-Tolerant Resilient Control For Fuzzy Fractional Order Systems
This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order differential equations. In particular, the system input under consideration is subject to actuator saturations, actuator faults, and nonlinearities....
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| Published in | IEEE transactions on systems, man, and cybernetics. Systems Vol. 49; no. 9; pp. 1797 - 1805 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
IEEE
01.09.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order differential equations. In particular, the system input under consideration is subject to actuator saturations, actuator faults, and nonlinearities. The main purpose of this paper is to put forward a generalized nonlinear resilient fault-tolerant controller that can make the considered system robustly asymptotically stable. Utilizing the concept of continuous frequency distribution, a new set of linear matrix inequalities, which are the sufficient conditions for robust asymptotic stability of the closed-loop system, are derived by using the indirect Lyapunov approach. Two numerical examples are included to illustrate the feasibility and effectiveness of the proposed method. |
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| AbstractList | This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order differential equations. In particular, the system input under consideration is subject to actuator saturations, actuator faults, and nonlinearities. The main purpose of this paper is to put forward a generalized nonlinear resilient fault-tolerant controller that can make the considered system robustly asymptotically stable. Utilizing the concept of continuous frequency distribution, a new set of linear matrix inequalities, which are the sufficient conditions for robust asymptotic stability of the closed-loop system, are derived by using the indirect Lyapunov approach. Two numerical examples are included to illustrate the feasibility and effectiveness of the proposed method. |
| Author | Joby, Maya Ahn, Choon Ki Sakthivel, Rathinasamy |
| Author_xml | – sequence: 1 givenname: Rathinasamy orcidid: 0000-0002-5528-2709 surname: Sakthivel fullname: Sakthivel, Rathinasamy email: krsakthivel@yahoo.com organization: Department of Mathematics, Bharathiar University, Coimbatore, India – sequence: 2 givenname: Choon Ki orcidid: 0000-0003-0993-9658 surname: Ahn fullname: Ahn, Choon Ki email: hironaka@korea.ac.kr organization: School of Electrical Engineering, Korea University, Seoul, South Korea – sequence: 3 givenname: Maya orcidid: 0000-0002-5110-2723 surname: Joby fullname: Joby, Maya email: mayajomy@gmail.com organization: Department of Mathematics, Anna University Regional Campus, Coimbatore, India |
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| Snippet | This paper investigates the problem of resilient fault-tolerant control for a class of Takagi-Sugeno fuzzy model which is described by fractional order... This paper investigates the problem of resilient fault-tolerant control for a class of Takagi–Sugeno fuzzy model which is described by fractional order... |
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| SubjectTerms | Actuator saturation Actuators Asymptotic properties Asymptotic stability Control design Differential equations Fault tolerance Fault tolerant systems fault-tolerant resilient control Feedback control fractional order systems Frequency distribution Fuzzy control Fuzzy systems Linear matrix inequalities Mathematical analysis Matrix methods Nonlinear control Robustness (mathematics) Stability analysis Takagi–Sugeno (T–S) fuzzy systems |
| Title | Fault-Tolerant Resilient Control For Fuzzy Fractional Order Systems |
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