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Time-varying sliding mode control based finite-time prescribed performance function for robotic manipulators.

Sana Stihi1, Raouf Fareh2, Sofiane Khadraoui2

  • 1Research Institute of Sciences and Engineering (RISE), University of Sharjah, Sharjah, United Arab Emirates.

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|November 30, 2025
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Summary
This summary is machine-generated.

This study introduces a novel Time-Varying Sliding-Mode Controller (TVSMC) that eliminates reaching phases and ensures finite-time error convergence for robotic manipulators. The new approach enhances robustness and reduces chattering for precise control.

Keywords:
Finite-time prescribed performance functionPower rate reaching lawRobot manipulatorStability analysisTime varying sliding surfaceTracking control

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Area of Science:

  • Robotics
  • Control Systems Engineering
  • Applied Mathematics

Background:

  • Sliding Mode Control (SMC) offers robustness for robot manipulators but suffers from chattering and long reaching phases.
  • Traditional Time-Varying Sliding Mode Surfaces (TVSMS) can be sensitive to initial conditions and parameter selection, limiting finite-time convergence.
  • Achieving robustness and finite-time convergence from any initial state remains a significant challenge in robotic control.

Purpose of the Study:

  • To develop a novel Time-Varying Sliding-Mode Controller (TVSMC) that integrates a Finite-Time Prescribed Performance Function (FTPPF).
  • To eliminate the reaching phase and ensure finite-time error convergence for robot manipulators.
  • To enhance robustness against uncertainties and disturbances while mitigating chattering.

Main Methods:

  • Integration of a Finite-Time Prescribed Performance Function (FTPPF) into a Time-Varying Sliding Mode Surface (TVSMS) design.
  • Development of a novel TVSMS based on FTPPF to ensure error convergence within a predetermined time frame.
  • Utilizing the Lyapunov theorem for finite-time stability analysis and experimental validation on a MICO 4-DOF robot.

Main Results:

  • The proposed TVSMS ensures finite-time error convergence, eliminates the reaching phase, and reduces sensitivity to initial conditions.
  • The controller effectively mitigates the chattering problem associated with SMC and enhances robustness during the reaching phase.
  • Experimental results demonstrate superior performance, robustness, and resilience to disturbances compared to conventional methods.

Conclusions:

  • The novel TVSMC with FTPPF offers a simplified yet highly robust solution for high-precision robotic applications.
  • The approach guarantees finite-time convergence and improved transient response shaping with minimal parameter tuning.
  • This controller presents a promising advancement for precise and reliable robotic manipulation under uncertainty.