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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.
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.
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.

