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Robust Model Predictive Control with a Dynamic Look-Ahead Re-Entry Strategy for Trajectory Tracking of

Diego Guffanti1, Moisés Filiberto Mora Murillo2,3, Santiago Bustamante Sanchez4

  • 1Centro de Investigación en Mecatrónica y Sistemas Interactivos-MIST, Universidad Indoamérica, Av. Machala y Sabanilla, Quito 170103, Ecuador.

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Accurate trajectory tracking for differential-drive mobile robots is improved with a Model Predictive Control (MPC) system. A novel re-entry strategy ensures stable path following even when the robot deviates, enhancing overall navigation robustness.

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Model Predictive Control (MPC)differential-drive robotre-entry strategyrobust navigationtrajectory tracking

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Area of Science:

  • Robotics and Control Systems
  • Autonomous Navigation
  • Mobile Robot Dynamics

Background:

  • Accurate trajectory tracking is a critical challenge for differential-drive mobile robots (DDMRs) in real-world applications.
  • Model Predictive Control (MPC) offers a robust framework but struggles with significant path deviations.
  • Existing methods lack effective recovery mechanisms for maintaining stable tracking after deviations.

Purpose of the Study:

  • To experimentally validate an MPC controller integrated with a novel dynamic look-ahead re-entry strategy for a four-wheel DDMR.
  • To enhance the robustness and accuracy of DDMR trajectory tracking under perturbed conditions.
  • To quantitatively assess the performance improvements using metrics like RMSE and in-band percentage.

Main Methods:

  • Implemented an MPC controller with state and input constraints on linear (v) and angular (ω) velocities.
  • Integrated a SLAM algorithm with ROS 2 for real-time odometry correction.
  • Developed and tested a dynamic look-ahead re-entry strategy activated by lateral error, interpolating smooth recovery trajectories.

Main Results:

  • In nominal conditions, the best MPC configuration achieved a lateral RMSE of 0.05 m and heading RMSE of 0.06 rad, with 68.8% of the trajectory within the validation band.
  • Under perturbations, the proposed re-entry strategy significantly improved robustness, maintaining a lateral RMSE of 0.12 m and 51.4% in-band trajectory.
  • The re-entry strategy outperformed standard MPC by enabling faster recovery and reducing deviation magnitudes.

Conclusions:

  • The integration of MPC with the proposed dynamic look-ahead re-entry strategy substantially enhances both accuracy and robustness in DDMR trajectory tracking.
  • The spatially grounded recovery mechanism ensures consistent performance in challenging scenarios, crucial for reliable navigation.
  • This combined approach offers a promising solution for dependable mobile robot navigation in uncertain and dynamic environments.