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Adaptive Model Predictive Control for 4WD-4WS Mobile Robot: A Multivariate Gaussian Mixture Model-Ant Colony

Hayat Ait Dahmad1,2, Hassan Ayad1, Alfonso García Cerezo2

  • 1Laboratory of Electrical Systems, Energy Efficiency and Telecommunications, Faculty of Science and Technics, Cadi Ayyad University (UCA), Marrakech 40000, Morocco.

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Summary
This summary is machine-generated.

This study introduces a new optimization algorithm, Multivariate Gaussian Mixture Model Continuous Ant Colony Optimization (MGMM-ACOR), to enhance trajectory tracking for autonomous robots. The method ensures stable, collision-free paths by considering variable interdependencies, outperforming existing algorithms.

Keywords:
4WD-4WS mobile robotMGMM-ACOR algorithmMPCtrajectory tracking

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Area of Science:

  • Robotics and Control Systems
  • Artificial Intelligence and Optimization

Background:

  • Accurate trajectory tracking is essential for autonomous mobile robots in dynamic environments.
  • Model Predictive Controller (MPC) performance relies heavily on optimal parameter tuning.
  • Existing optimization algorithms struggle with interdependencies between variables and balancing exploration/exploitation.

Purpose of the Study:

  • To develop and validate an advanced optimization algorithm, MGMM-ACOR, for tuning MPC parameters.
  • To improve the robustness and accuracy of trajectory tracking for a 4WD-4WS mobile robot.
  • To address limitations in conventional optimization methods for complex robotic control tasks.

Main Methods:

  • Implementation of Multivariate Gaussian Mixture Model Continuous Ant Colony Optimization (MGMM-ACOR).
  • Integration of MGMM-ACOR with a nonlinear Model Predictive Controller (MPC) for a 4WD-4WS mobile robot.
  • Two-phase validation: benchmark function testing and real-world trajectory tracking simulations (circular, eight, and obstacle avoidance).

Main Results:

  • MGMM-ACOR demonstrated superior convergence speed and solution accuracy compared to ACO, ACOR, and PSO variants on benchmark functions.
  • The integrated MGMM-ACOR-MPC system achieved stable, collision-free trajectory tracking.
  • The proposed method outperformed conventional ACOR approaches in trajectory error, control effort, and computational latency.

Conclusions:

  • MGMM-ACOR effectively optimizes MPC parameters by modeling variable correlations, leading to enhanced robotic trajectory tracking.
  • The algorithm provides a robust solution for autonomous navigation, ensuring safety and efficiency in complex scenarios.
  • This work advances the state-of-the-art in robot control optimization and autonomous system performance.