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Adaptive fractional‐order non‐singular fast terminal sliding mode control for robot manipulators
Author(s) -
Nojavanzadeh Donya,
Badamchizadeh Mohammadali
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2015.1218
Subject(s) - control theory (sociology) , terminal sliding mode , controller (irrigation) , sliding mode control , adaptive control , lyapunov stability , convergence (economics) , stability (learning theory) , lyapunov function , mathematics , computer science , nonlinear system , control (management) , artificial intelligence , physics , quantum mechanics , economics , machine learning , agronomy , biology , economic growth
In this study, an adaptive fractional‐order terminal sliding mode controller is proposed for controlling robot manipulators with uncertainties and external disturbances. An adaptive tuning method is utilised to deal with uncertainties which upper bounds are unknown in practical cases. Fast convergence is achieved using non‐singular fast terminal sliding mode control. Also, fractional‐order controller is used to improve tracking performance of controller. After proposing a new stable fractional‐order non‐singular and non‐linear switching manifold, a sliding mode control law is designed. The stability of the closed‐loop system is proved by Lyapunov stability theorem. Simulation results demonstrate the effectiveness and high‐precision tracking performance of this controller in comparison with integer‐order terminal sliding mode controllers.

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