Date of Award
2025
Degree Name
Electrical and Computer Engineering
College
College of Engineering and Computer Sciences
Type of Degree
M.S.E.E.
Document Type
Thesis
First Advisor
Dr. Haroon Malik
Second Advisor
Dr. Pingping Zhu
Third Advisor
Dr. Mohammed Ferdjallah
Abstract
Swarm robotics, also referred to as very large-scale robotics (VLSR), has emerged as a transformative approach for addressing complex tasks that are infeasible for single-robot systems. Applications range from environmental monitoring and disaster response to large-scale agricultural and industrial operations. However, as the number of robots in a swarm increases, so do the challenges associated with motion control, energy efficiency, and scalability. These challenges necessitate innovative solutions that balance microscopic robot behaviors with macroscopic system-level objectives.
In this thesis, we address these challenges by building upon existing research [40], which introduced novel methods for optimizing swarm robotics systems using macroscopic and microscopic approaches. Specifically, we focus on enabling microscopic robots to conform to a reference Gaussian mixture model (GMM) distribution observed at the macroscopic scale. By optimizing the macroscopic level, we achieve an optimal overall system performance. However, a critical limitation of existing methods is their reliance on the systematic and global generation of Gaussian components (GCs) within obstacle-free environments to construct GMM trajectories. This requirement often introduces computational inefficiencies and limits adaptability in dynamic or complex environments.
To overcome these limitations, this thesis proposes a novel approach that leverages centroidal Voronoi tessellation (CVT) for the systematic generation of GCs. CVT provides a robust framework for partitioning space into regions (Voronoi cells) and optimizing the placement of GCs within these regions. This method not only ensures consistency and reliability in trajectory generation but also significantly improves performance by reducing computational overhead and enhancing adaptability to environmental constraints.
Through extensive simulations and theoretical analysis, we demonstrate the effectiveness of our approach in achieving scalable and energy-efficient swarm robotics systems. The results highlight the potential of CVT-based methods to bridge the gap between microscopic robot behaviors and macroscopic system goals, paving the way for more practical and deployable swarm robotics solutions. This thesis contributes to the growing body of knowledge in swarm robotics by providing a scalable, efficient, and reliable framework for motion control and energy optimization in large-scale robotic systems.
Subject(s)
Electrical engineering.
Computer engineering.
Robotics.
Robotics -- Energy consumption.
Robotics -- Usage.
Recommended Citation
Gao, Xu (James), "Very Large Scale Robotics path planning with Centroidal Voronoi Tessellation" (2025). Theses, Dissertations and Capstones. 1961.
https://mds.marshall.edu/etd/1961
