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A Novel Prescribed-Performance-Tracking Control System with Finite-Time Convergence Stability for Uncertain Robotic

Anh Tuan Vo1, Thanh Nguyen Truong1, Hee-Jun Kang2

  • 1Department of Electrical, Electronic and Computer Engineering, University of Ulsan, Ulsan 44610, Korea.

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Summary

This study introduces a novel prescribed performance control system for uncertain robotic manipulators, ensuring finite-time convergence and stability. The advanced controller precisely manages trajectory tracking, overshoot, and steady-state errors for improved robotic performance.

Keywords:
finite-time controlprescribed performance controlrobot manipulatorssliding mode control

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Area of Science:

  • Robotics
  • Control Systems Engineering
  • Applied Mathematics

Background:

  • Uncertain robotic manipulators present significant challenges in achieving precise trajectory tracking.
  • Existing control methods often struggle with finite-time convergence and predefined performance bounds.

Purpose of the Study:

  • To develop an advanced prescribed performance-tracking control system for uncertain robotic manipulators.
  • To ensure finite-time convergence stability and predefined performance limits for trajectory tracking.

Main Methods:

  • Design of a modified integral nonlinear sliding-mode hyperplane using transformed errors.
  • Implementation of a super-twisting reaching control law for robust control.
  • Simulation analysis on an industrial robot manipulator model.

Main Results:

  • The proposed controller achieves finite-time convergence and global stability.
  • Demonstrated ability to predefine and constrain overshoot and steady-state errors.
  • Ensured smooth control torque output without compromising robustness.

Conclusions:

  • The advanced prescribed performance control system effectively addresses trajectory tracking in uncertain robotic manipulators.
  • The controller offers enhanced precision, robustness, and finite-time convergence properties.
  • Simulation results validate the proposed control algorithm's effectiveness.