Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay

This work focuses on the stabilization issue for a class of singular stochastic systems against fractional Gaussian noise driven by fractional Brownian motion. In particular, the system is formulated with time-delay, nonlinear actuator faults and randomly occurring parameter uncertainties. Primarily...

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Autores principales:	S. Sweetha, R. Sakthivel, V. Panneerselvam, Yong-Ki Ma
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Singular system fractional Brownian motion time-delay proportional retarded controller nonlinear actuator faults randomly occurring parameter uncertainties Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/0cbf708de6ad41b9bbcee17c560ab413
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spelling	oai:doaj.org-article:0cbf708de6ad41b9bbcee17c560ab4132021-11-24T00:01:20ZNonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay2169-353610.1109/ACCESS.2021.3128410https://doaj.org/article/0cbf708de6ad41b9bbcee17c560ab4132021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9615230/https://doaj.org/toc/2169-3536This work focuses on the stabilization issue for a class of singular stochastic systems against fractional Gaussian noise driven by fractional Brownian motion. In particular, the system is formulated with time-delay, nonlinear actuator faults and randomly occurring parameter uncertainties. Primarily, a fractional-infinitesimal operator is incorporated to deal with the fractional Ito stochastic systems in the derivation part of Lyapunov-based stability analysis. Further, the considered system is subjected to both linear and nonlinear actuator faults and the stabilization will be achieved by the consideration of a nonlinear resilient fault-tolerant proportional-retarded controller. By incorporating the fractional-infinitesimal operator and with the choice of a relevant Lyapunov-Krasovskii functional candidate, a new adequate criterion is deduced by means of linear matrix inequalities. Then the established inequalities are then solved for obtaining the controller gain matrices. Thereafter, an example illustrating the effectiveness and applicability of the proposed results is provided.S. SweethaR. SakthivelV. PanneerselvamYong-Ki MaIEEEarticleSingular systemfractional Brownian motiontime-delayproportional retarded controllernonlinear actuator faultsrandomly occurring parameter uncertaintiesElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 153647-153655 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Singular system fractional Brownian motion time-delay proportional retarded controller nonlinear actuator faults randomly occurring parameter uncertainties Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Singular system fractional Brownian motion time-delay proportional retarded controller nonlinear actuator faults randomly occurring parameter uncertainties Electrical engineering. Electronics. Nuclear engineering TK1-9971 S. Sweetha R. Sakthivel V. Panneerselvam Yong-Ki Ma Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
description	This work focuses on the stabilization issue for a class of singular stochastic systems against fractional Gaussian noise driven by fractional Brownian motion. In particular, the system is formulated with time-delay, nonlinear actuator faults and randomly occurring parameter uncertainties. Primarily, a fractional-infinitesimal operator is incorporated to deal with the fractional Ito stochastic systems in the derivation part of Lyapunov-based stability analysis. Further, the considered system is subjected to both linear and nonlinear actuator faults and the stabilization will be achieved by the consideration of a nonlinear resilient fault-tolerant proportional-retarded controller. By incorporating the fractional-infinitesimal operator and with the choice of a relevant Lyapunov-Krasovskii functional candidate, a new adequate criterion is deduced by means of linear matrix inequalities. Then the established inequalities are then solved for obtaining the controller gain matrices. Thereafter, an example illustrating the effectiveness and applicability of the proposed results is provided.
format	article
author	S. Sweetha R. Sakthivel V. Panneerselvam Yong-Ki Ma
author_facet	S. Sweetha R. Sakthivel V. Panneerselvam Yong-Ki Ma
author_sort	S. Sweetha
title	Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
title_short	Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
title_full	Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
title_fullStr	Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
title_full_unstemmed	Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay
title_sort	nonlinear fault-tolerant control design for singular stochastic systems with fractional stochastic noise and time-delay
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/0cbf708de6ad41b9bbcee17c560ab413
work_keys_str_mv	AT ssweetha nonlinearfaulttolerantcontroldesignforsingularstochasticsystemswithfractionalstochasticnoiseandtimedelay AT rsakthivel nonlinearfaulttolerantcontroldesignforsingularstochasticsystemswithfractionalstochasticnoiseandtimedelay AT vpanneerselvam nonlinearfaulttolerantcontroldesignforsingularstochasticsystemswithfractionalstochasticnoiseandtimedelay AT yongkima nonlinearfaulttolerantcontroldesignforsingularstochasticsystemswithfractionalstochasticnoiseandtimedelay
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Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay

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