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A Novel Model-Free Continuous Sliding Mode Controller with a PI Sliding Surface for Industrial Robots: Achieving Near-Zero Tracking Errors and GUUB Stability
Faculty
Engineering
Year:
2024
Type of Publication:
ZU Hosted
Pages:
53–63
Authors:
Khaled Roshdy ElHosainy Atia
Staff Zu Site
Abstract In Staff Site
Journal:
The Egyptian International Journal of Engineering Sciences and Technology Faculty of Engineering, Zagazig University
Volume:
Keywords :
, Novel Model-Free Continuous Sliding Mode Controller
Abstract:
This study presents a novel continuous sliding mode control (SMC) law for robotic arms, emphasizing computational efficiency, structural simplicity, and stability. The proposed controller, which does not require the robot's dynamic model in its structure, ensures Global Uniform Ultimate Bounded (GUUB) stability, focusing on minimizing joint tracking errors. To enhance tracking performance, the control law incorporates a nonlinear function that increases control effort only within the boundary layer, effectively reducing the ultimate bounds of tracking errors. Stability is demonstrated using Lyapunov theory, confirming the asymptotic convergence of tracking errors to near zero. Further improvement is achieved by replacing the original sliding surface with a proportional-integral (PI) sliding surface. This PI-based sliding mode controller maintains GUUB stability while delivering superior tracking accuracy, as evidenced by near-zero ultimate bounds of tracking errors. Simulation results with a two degrees of freedom manipulator validate the controllers' effectiveness in handling disturbances, with the enhanced PI-based controller showing superior performance, nearly eliminating tracking errors.
Author Related Publications
Khaled Roshdy ElHosainy Atia, "A new variable structure controller for robot manipulators with a nonlinear PID sliding surface", Cambridge University Press, 2012
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Khaled Roshdy ElHosainy Atia, "Optimization of PID trajectory tracking controller for a 3-DOF robotic manipulator using enhanced Artificial Bee Colony algorithm", Nature Portfolio, 2023
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Khaled Roshdy ElHosainy Atia, "Optimized sliding mode controller for trajectory tracking of flexible joints three-link manipulator with noise in input and output", Nature Portfolio, 2023
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Khaled Roshdy ElHosainy Atia, "Modeling of PID controlled 3DOF robotic manipulator using Lyapunov function for enhancing trajectory tracking and robustness exploiting Golden Jackal algorithm", Science direct, 2024
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Khaled Roshdy ElHosainy Atia, "A New PID Controller with independent gains for set-point control of robot manipulators", Ain Shams University, 2008
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Department Related Publications
Soliman Soliman Soliman Alieldien, "A first-order shear deformation finite element model for elastostatic analysis of laminated composite plates and the equivalent functionally graded plates", Ain Shams Engineering Journal, 2011
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Soliman Soliman Soliman Alieldien, "Size-dependent analysis of functionally graded ultra-thin films", Structural Engineering and Mechanics, Vol. 44, No. 4 (2012) 431-448, 2012
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Soliman Soliman Soliman Alieldien, "Bending Analysis of Ultra-thin Functionally Graded Mindlin Plates Incorporating Surface Energy Effects", International Journal of Mechanical Sciences, 2013
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Soliman Soliman Soliman Alieldien, "Finite element analysis of functionally graded nano-scale films", Finite Elements in Analysis and Design, 2013
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Soliman Soliman Soliman Alieldien, "Finite Element Analysis of the Deformation of Functionally Graded Plates under Thermomechanical Loads", Mathematical Problems in Engineering, 2013
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