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Robust Hybrid Fractional Order Proportional Derivative Sliding Mode Controller for Robot Manipulator Based on Extended Grey Wolf Optimizer

Published online by Cambridge University Press:  13 June 2019

Hossein Komijani ,
Mojtaba Masoumnezhad ,
Morteza Mohammadi Zanjireh  and
Mahdi Mir
Hossein Komijani*
Affiliation:
Department of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran
Mojtaba Masoumnezhad
Affiliation:
Department of Mechanical Engineering, Guilan Branch, Technical and Vocational University, Tehran, Iran. E-mail: mmasomnezhad@tvu.ac.ir
Morteza Mohammadi Zanjireh
Affiliation:
Computer Engineering Department, Imam Khomeini International University, Qazvin, Iran. E-mail: mmzanjireh@gmail.com
Mahdi Mir
Affiliation:
Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran. E-mail: mahdimir.ir@gmail.com
*
*Corresponding author. E-mail: h.komijani@gmail.com
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Summary

This paper presents a novel robust hybrid fractional order proportional derivative sliding mode controller (HFOPDSMC) for 2-degree of freedom (2-DOF) robot manipulator based on extended grey wolf optimizer (EGWO). Sliding mode controller (SMC) is remarkably robust against the uncertainties and external disturbances and shows the valuable properties of accuracy. In this paper, a new fractional order sliding surface (FOSS) is defined. Integrating the fractional order proportional derivative controller (FOPDC) and a new sliding mode controller (FOSMC), a novel robust controller based on HFOPDSMC is proposed. The bounded model uncertainties are considered in the dynamics of the robot, and then the robustness of the controller is verified. The Lyapunov theory is utilized in order to show the stability of the proposed controller. In this paper, the EGWO is developed by adding the emphasis coefficients to the typical grey wolf optimizer (GWO). The GWO and EGWO, then, are applied to optimize the proposed control parameters which result in the optimized GWO-HFOPDSMC and EGWO-HFOPDSMC, respectively. The effectivenesses of the optimized controllers (GWO-HFOPDSMC and EGWO-HFOPDSMC) are completely verified by comparing the simulation results of the optimized controllers with the typical FOSMC and HFOPDSMC.

Keywords

Robot manipulatorFractional orderProportional derivative controllersliding mode controllergrey wolf optimizer
Type
Articles
Information
Robotica , Volume 38 , Issue 4 , April 2020 , pp. 605 - 616
Copyright
© Cambridge University Press 2019 

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