Adaptive barrier function‐based fractional‐order chattering‐free finite‐time control for uncertain chaotic systems

This study proposes the adaptive continuous barrier function as the fractional‐order control system using the terminal sliding mode control technique with chattering‐free property to stabilize chaotic systems that have unknown uncertainties. The important reason for using the fractional‐order contro...

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Published inMathematical methods in the applied sciences Vol. 46; no. 16; pp. 17345 - 17366
Main Authors Askari Sepestanaki, Mohammadreza, Soofi, Mohammad, Barhaghtalab, Mojtaba Hadi, Bahmani, Hamidreza, Mobayen, Saleh, Jalilvand, Abolfazl
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 15.11.2023
Subjects
Adaptive control
Chaos theory
Continuity (mathematics)
Control theory
Controllers
Disturbances
Perturbation
Sliding mode control
Uncertainty
Online AccessGet full text
ISSN0170-4214
1099-1476
1099-1476
DOI10.1002/mma.9503

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Abstract This study proposes the adaptive continuous barrier function as the fractional‐order control system using the terminal sliding mode control technique with chattering‐free property to stabilize chaotic systems that have unknown uncertainties. The important reason for using the fractional‐order controller is its greater flexibility than the integer‐order controller. Using adaptive approach and Lyapunov's stability theory, an adaptive continuous barrier fractional‐order chattering‐free finite‐time controller for a category of chaotic systems with the unknown uncertainties and external disturbances is presented. The suggested controller can stabilize the chaotic system excellently with a continuous and smooth control law even without knowing the boundaries and in the presence of unknown disturbances due to the model uncertainties. According to MATLAB simulation results, the high efficiency of the suggested control technique to control the chaotic systems in the attendance of unknown perturbations is obviously confirmed.
AbstractList This study proposes the adaptive continuous barrier function as the fractional‐order control system using the terminal sliding mode control technique with chattering‐free property to stabilize chaotic systems that have unknown uncertainties. The important reason for using the fractional‐order controller is its greater flexibility than the integer‐order controller. Using adaptive approach and Lyapunov's stability theory, an adaptive continuous barrier fractional‐order chattering‐free finite‐time controller for a category of chaotic systems with the unknown uncertainties and external disturbances is presented. The suggested controller can stabilize the chaotic system excellently with a continuous and smooth control law even without knowing the boundaries and in the presence of unknown disturbances due to the model uncertainties. According to MATLAB simulation results, the high efficiency of the suggested control technique to control the chaotic systems in the attendance of unknown perturbations is obviously confirmed.
Author Jalilvand, Abolfazl
Soofi, Mohammad
Barhaghtalab, Mojtaba Hadi
Askari Sepestanaki, Mohammadreza
Bahmani, Hamidreza
Mobayen, Saleh
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Snippet This study proposes the adaptive continuous barrier function as the fractional‐order control system using the terminal sliding mode control technique with...
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SubjectTerms Adaptive control
Chaos theory
Continuity (mathematics)
Control theory
Controllers
Disturbances
Perturbation
Sliding mode control
Uncertainty
Title Adaptive barrier function‐based fractional‐order chattering‐free finite‐time control for uncertain chaotic systems
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