Adaptive fuzzy backstepping control of fractional-order chaotic systems with input saturation

An adaptive fuzzy backstepping control method is proposed for uncertain fractional-order chaotic systems subject to system constraints, including unknown external disturbance and input saturation in this article. The system constraints are resolved by modeling the saturation limiter as portions of u...

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Published inJournal of intelligent & fuzzy systems Vol. 37; no. 5; p. 6513
Main Authors Ha, Shumin, Liu, Heng, Li, Shenggang
Format Journal Article
LanguageEnglish
Published London Sage Publications Ltd 01.01.2019
Subjects
Adaptive control
Algorithms
Chaos theory
Computer simulation
Constraint modelling
Control systems design
Controllers
Fuzzy control
Fuzzy logic
Fuzzy systems
Saturation
Tracking errors
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ISSN1064-1246
1875-8967
DOI10.3233/JIFS-182623

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Abstract An adaptive fuzzy backstepping control method is proposed for uncertain fractional-order chaotic systems subject to system constraints, including unknown external disturbance and input saturation in this article. The system constraints are resolved by modeling the saturation limiter as portions of unknown functions and a backstepping recursive algorithm is proposed. In each step, the system unknown nonlinearity is approximated by a fuzzy logic system, and fuzzy parameters are updated by the corresponding fractional-order adaptation laws online. In the end, an adaptive fuzzy controller that assures the convergence of tracking error is designed. Formal proof and two simulations are applied for confirming the effectiveness of the designed controller.
AbstractList An adaptive fuzzy backstepping control method is proposed for uncertain fractional-order chaotic systems subject to system constraints, including unknown external disturbance and input saturation in this article. The system constraints are resolved by modeling the saturation limiter as portions of unknown functions and a backstepping recursive algorithm is proposed. In each step, the system unknown nonlinearity is approximated by a fuzzy logic system, and fuzzy parameters are updated by the corresponding fractional-order adaptation laws online. In the end, an adaptive fuzzy controller that assures the convergence of tracking error is designed. Formal proof and two simulations are applied for confirming the effectiveness of the designed controller.
Author Ha, Shumin
Liu, Heng
Li, Shenggang
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StartPage 6513
SubjectTerms Adaptive control
Algorithms
Chaos theory
Computer simulation
Constraint modelling
Control systems design
Controllers
Fuzzy control
Fuzzy logic
Fuzzy systems
Saturation
Tracking errors
Title Adaptive fuzzy backstepping control of fractional-order chaotic systems with input saturation
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Volume 37
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