Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems

L. Susana Ramya; R. Sakthivel; Choon Ki Ahn; Yong Ren

doi:10.1109/TCSII.2018.2886200

Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems

L. Susana Ramya, R. Sakthivel, Choon Ki Ahn, Yong Ren

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

This brief focuses on finite-time stabilization of a four-dimensional fractional-order hyperchaotic system via reliable resilient controller. The stability theory of Lyapunov and the optimization technique based on linear matrix inequality are combined together to establish a reliable feedback controller which guarantees finite-time boundedness of the considered system affected by actuator failures, gain fluctuations and parametric uncertainties. Finally, the simulation results, demonstrates that the proposed control design scheme is an effective one. Moreover, the simulation shows that the proposed control design can achieve good performance in spite of the presence of fluctuations in control gain.

Original language	English
Article number	8574980
Pages (from-to)	1537-1541
Number of pages	5
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	66
Issue number	9
DOIs	https://doi.org/10.1109/TCSII.2018.2886200
Publication status	Published - 2019 Sept

Bibliographical note

Funding Information:
Manuscript received October 5, 2018; accepted December 6, 2018. Date of publication December 13, 2018; date of current version August 27, 2019. The work of L. S. Ramya was supported by the Department of Science and Technology, Government of India, through the Women Scientists Scheme-A under Grant SR/WOS-A/PM-101/2016. The work of C. K. Ahn was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor M. Small. (Corresponding authors: R. Sakthivel; Yong Ren.) L. S. Ramya is with the Department of Mathematics, Anna University Regional Campus, Coimbatore 641046, India (e-mail: [email protected]).

Funding Information:
The work of L. S. Ramya was supported by the Department of Science and Technology, Government of India, through the Women Scientists Scheme-A under Grant SR/WOS-A/PM-101/2016. The work of C. K. Ahn was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325.

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

Resilient control
controller gain fluctuations
fractional-order system
hyperchaotic system

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/TCSII.2018.2886200

Cite this

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abstract = "This brief focuses on finite-time stabilization of a four-dimensional fractional-order hyperchaotic system via reliable resilient controller. The stability theory of Lyapunov and the optimization technique based on linear matrix inequality are combined together to establish a reliable feedback controller which guarantees finite-time boundedness of the considered system affected by actuator failures, gain fluctuations and parametric uncertainties. Finally, the simulation results, demonstrates that the proposed control design scheme is an effective one. Moreover, the simulation shows that the proposed control design can achieve good performance in spite of the presence of fluctuations in control gain.",

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Reliable Resilient Finite-Time Control for Stabilization of Hyperchaotic Fractional-Order Systems

Abstract

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Keywords

ASJC Scopus subject areas

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