Observer-based synchronization of fractional-order Markovian jump multi-weighted complex dynamical networks subject to actuator faults
This paper is concerned with an observer-based robust H∞ synchronization problem for a class of fractional-order multi-weighted complex dynamical networks subject to Markovian jump parameters, actuator faults and time-varying coupling delay by using fault-tolerant control scheme. The considered actu...
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| Published in | Journal of the Franklin Institute Vol. 358; no. 9; pp. 4602 - 4625 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Elmsford
Elsevier Ltd
01.06.2021
Elsevier Science Ltd |
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| Abstract | This paper is concerned with an observer-based robust H∞ synchronization problem for a class of fractional-order multi-weighted complex dynamical networks subject to Markovian jump parameters, actuator faults and time-varying coupling delay by using fault-tolerant control scheme. The considered actuator fault model is a general one, which consisting of both linear and nonlinear fault terms. Further, by employing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, a new set of sufficient conditions is derived to ensure the asymptotic synchronization of the addressed system in the mean square sense with a prescribed H∞ performance index. In particular, by constructing monochromatic Lyapunov functional and utilizing extended Wirtinger-based integral inequality the required sufficient conditions are developed in terms of linear matrix inequalities. Finally, two numerical examples including financial model are provided to illustrate the effectiveness of the obtained results. |
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| AbstractList | This paper is concerned with an observer-based robust H∞ synchronization problem for a class of fractional-order multi-weighted complex dynamical networks subject to Markovian jump parameters, actuator faults and time-varying coupling delay by using fault-tolerant control scheme. The considered actuator fault model is a general one, which consisting of both linear and nonlinear fault terms. Further, by employing a continuous frequency distributed equivalent model and using indirect Lyapunov approach, a new set of sufficient conditions is derived to ensure the asymptotic synchronization of the addressed system in the mean square sense with a prescribed H∞ performance index. In particular, by constructing monochromatic Lyapunov functional and utilizing extended Wirtinger-based integral inequality the required sufficient conditions are developed in terms of linear matrix inequalities. Finally, two numerical examples including financial model are provided to illustrate the effectiveness of the obtained results. |
| Author | Sakthivel, R. Selvaraj, P. Kwon, O.M. |
| Author_xml | – sequence: 1 givenname: R. surname: Sakthivel fullname: Sakthivel, R. organization: School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea – sequence: 2 givenname: R. surname: Sakthivel fullname: Sakthivel, R. email: krsakthivel@buc.edu.in organization: Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India – sequence: 3 givenname: O.M. surname: Kwon fullname: Kwon, O.M. email: madwind@chungbuk.ac.kr organization: School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea – sequence: 4 givenname: P. surname: Selvaraj fullname: Selvaraj, P. organization: School of Electrical Engineering, Chungbuk National University, Cheongju 28644, South Korea |
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| SubjectTerms | Actuators Dynamical systems Fault tolerance H-infinity control Inequality Linear matrix inequalities Mathematical functions Performance indices Robustness (mathematics) Synchronism |
| Title | Observer-based synchronization of fractional-order Markovian jump multi-weighted complex dynamical networks subject to actuator faults |
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