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Full-Text Articles in Robotics

The Self-Aware Room: A Framework For Operational Self-Awareness In Evolvable Blended Environments, David B. Smith Aug 2026

The Self-Aware Room: A Framework For Operational Self-Awareness In Evolvable Blended Environments, David B. Smith

Publications and Research

The Self-Aware Room (SAR) is a room-scale research environment developed within the larger Balanced Blended Space and Blended Reality Performance System research trajectory. Rather than treating the room as a conventional “smart” environment composed of fixed automation technologies, SAR approaches it as an evolvable blended environment made from physical, virtual, conceptual, sensory, computational, and performative relationships. Its defining feature is not any particular sensor, model, or output device, but the set of transformations through which physical activity becomes structured observation, bounded representation, interpreted state, governed decision, and mediated response.

This paper develops the conceptual and methodological foundations of SAR as …


Hydroquad - A Drone Quadruped Hybrid, Haitish Gandhi, Dheer Chhabria Aug 2026

Hydroquad - A Drone Quadruped Hybrid, Haitish Gandhi, Dheer Chhabria

Discovery Day - Daytona Beach

The HyDroQuad is a hybrid robotic system designed to navigate environments where traditional robots face limitations. By combining a quadrupedal walking mechanism with an aerial drone, the platform is able to walk efficiently on stable terrain and transition to flight when encountering obstacles such as rocks, gaps, or steep slopes. This adaptability makes it a strong candidate for future planetary exploration, where terrain is often uneven and unpredictable. This work focuses on developing and evaluating a functional prototype of the system. A fully integrated platform, HDQ-MK1, was designed and constructed by combining a lightweight multirotor drone with a compact quadruped …


Improving Multi-Agent Swarm Collision Avoidance Using Reciprocal Velocity Obstacles, Nick Wilson Aug 2026

Improving Multi-Agent Swarm Collision Avoidance Using Reciprocal Velocity Obstacles, Nick Wilson

Discovery Day - Daytona Beach

As multi-agent systems grow increasingly complex, physical robotic swarms are essential to bridge the gap between limited software simulations and real-world application. The BID4R STARS swarm provides a physical platform for testing diverse algorithms, yet its success relies heavily on fundamental agent capabilities—most notably, obstacle avoidance. Preventing intra-swarm collisions is critical to avoid hardware damage and experimental disruption. To address this challenge, this project implements the Reciprocal Velocity Obstacles (RVO) algorithm onto the STARS swarm. While standard collision avoidance algorithms often overcorrect and induce oscillatory agent movement, RVO factors in the velocity and anticipated responses of all agents involved in …


Honeybee-Inspired Swarm Intelligence For Autonomous Adaptability Of Martian Infrastructure, Morgan Kendall Aug 2026

Honeybee-Inspired Swarm Intelligence For Autonomous Adaptability Of Martian Infrastructure, Morgan Kendall

Discovery Day - Daytona Beach

Current research in autonomous space systems primarily relies on centralized control or swarm methods designed for fixed mission scenarios. These approaches lack the flexibility needed for long-duration Mars operations, where infrastructure must adapt to changing conditions, evolving mission goals, and limited human oversight. This creates a critical gap in developing autonomous systems capable of continuous self-organization. This gap is being addressed by developing a biologically inspired, adaptive Martian infrastructure using swarm intelligence. The scope includes key system domains such as power distribution, communication networks, and surface logistics. Agent-based modeling software will simulate infrastructure components as autonomous agents that evaluate local …


Nano Aircraft Using Underactuated Technology (Naut), Giol Vinyals I Roca Aug 2026

Nano Aircraft Using Underactuated Technology (Naut), Giol Vinyals I Roca

Discovery Day - Daytona Beach

The Nano Aircraft using Underactuated Technology (NAUT) project presents a novel swashplateless rotor system that achieves cyclic pitch control using a single actuator, eliminating the need for conventional multi-servo swashplate assemblies. This approach is specifically tailored for nano unmanned aircraft systems (UAS) operating within Advanced Air Mobility (AAM) environments, where size, weight, and power constraints demand highly efficient and simplified control architectures. A functional prototype has been developed and experimentally validated, demonstrating measurable cyclic pitch variation and effective control authority. Multiple mechanism variants are currently being investigated to evaluate performance trade-offs in responsiveness, mechanical efficiency, and aerodynamic effectiveness. These configurations …


Orbital Servicing Calibration And Repair (O.S.C.A.R.), Samantha Rogers, Chloe Arnold, Ava Laudadio Aug 2026

Orbital Servicing Calibration And Repair (O.S.C.A.R.), Samantha Rogers, Chloe Arnold, Ava Laudadio

Discovery Day - Daytona Beach

Low Earth Orbit (LEO) satellites operate in an environment that exposes them to cumulative radiation effects, micrometeoroids, and orbital debris, and limited opportunities for post-launch intervention. These factors can degrade satellite performance over time, leading to anomalies that may cause data corruption, mission failure, or require human intervention for repair. While previous on-orbit servicing efforts have demonstrated repair and life-extension capabilities, most have focused on Geosynchronous satellites or controlled test environments, leaving a gap in servicing concepts tailored specifically to LEO satellites.The O.S.C.A.R. (Orbital Servicing, Calibration, and Repair) project investigates the design of a robotic servicing system for inspecting, calibrating, …


Navigating Enhanced Exploration Assistance (Nexa), Azhari Abbas, Caleb Fakunle, Ryan Powell, Donovan Livingston Aug 2026

Navigating Enhanced Exploration Assistance (Nexa), Azhari Abbas, Caleb Fakunle, Ryan Powell, Donovan Livingston

Discovery Day - Daytona Beach

NEXA is an artificial intelligence software platform developed to enhance residential security and property monitoring through seamless integration with autonomous drone systems. This research application of advanced AI in surveillance aims to create a standalone solution capable of real-time threat detection and intelligent alert management. By processing visual and sensory data, NEXA facilitates autonomous drone operation with minimal human intervention. Secure communication channels ensure that instant alerts are delivered to property owners and, potentially, law enforcement, improving response times in security incidents, search-and-rescue operations, and perimeter surveillance. Additionally, NEXA is capable of interfacing with commercially available drone platforms and presents …


Robotic Arm Development For Cone Penetration Testing On The Lunar Surface, Jonah Graff, Derek Zhang Aug 2026

Robotic Arm Development For Cone Penetration Testing On The Lunar Surface, Jonah Graff, Derek Zhang

Discovery Day - Daytona Beach

Just as on Earth, future lunar operations will require accurate characterization of surface conditions. On Earth, a proven method for this is Cone Penetration Testing (CPT), which evaluates soil bearing capacity and stratification. This information is vital for lunar operations, including habitat construction, resource extraction, and safe pathfinding. However, traditional CPT systems are designed for human operation and lack autonomy. This project addresses that limitation by developing an autonomous, in-situ terrain characterization system for lunar surfaces. The device is driven by ball-screw actuators powered by stepper motors and controlled through an Arduino Mega, using a combination of metal and 3D-printed …


Advanced Manufacturing And Materials Of A Bio-Mimetic Hoof For Space Robotics Applications, Benjamin Heckel Aug 2026

Advanced Manufacturing And Materials Of A Bio-Mimetic Hoof For Space Robotics Applications, Benjamin Heckel

Discovery Day - Daytona Beach

Planetary surfaces often feature steep, uneven, and unpredictable terrain conditions that resemble some of the most challenging natural environments on Earth. In these terrestrial settings, certain animals have evolved to navigate complex landscapes with remarkable agility. One example is the mountain goat, an animal whose hooves have evolved for stable and precise movement across rocky, inclined surfaces. This biological adaptation provides a useful model for improving robotic mobility in planetary exploration. This study draws inspiration from that natural adaptation to develop a bio-mimetic robotic hoof designed to enhance traction, durability, and adaptability for extraterrestrial exploration. By replicating the mechanical properties …


Phaëthon System, Brady Roudabush, Lauren Gallo, Emelia Thompson, Jacob Woods Aug 2026

Phaëthon System, Brady Roudabush, Lauren Gallo, Emelia Thompson, Jacob Woods

Discovery Day - Daytona Beach

Phaëthon System is the project name for the Search and Rescue Drone Initiative. This initiative will improve the current search and rescue drone industry by introducing new techniques to get through dense forest canopies and other places where an overhead view is not useful. The Phaëthon System uses a swarm of drones that can penetrate under the tree canopy to map and search with the utmost efficiency and safety for rescuers. A command drone is launched to survey the overall search area, and set up a communications and data link. The next component is then released, which is a swarm …


Interplay Between Physical Design Choices And Emergent Cyber System Consensus: A Case Study With An Underwater Swarm, Ava Neubert Aug 2026

Interplay Between Physical Design Choices And Emergent Cyber System Consensus: A Case Study With An Underwater Swarm, Ava Neubert

Discovery Day - Daytona Beach

Understanding how physical constraints influence collective behavior is critical for designing cyber-physical multi-agent systems in communication-limited environments. This project investigates how agent mobility and communication constraints affect opinion dynamics in a three-dimensional underwater swarm. An agent-based model was developed in AnyLogic, where agents follow realistic motion dynamics and exchange information at discrete communication intervals to reflect underwater limitations. Agent opinions are modeled using a BOIDS-inspired consensus mechanism in RGB space, allowing visualization of convergence behavior. A sensitivity analysis was conducted to evaluate the effects of communication range, agent speed, turn rate, and swarm size. Results show that communication range has …


Automation And Robotics In Timber Construction Prefabrication, Jason Grabowski, Anish Mandyam, Samuel Mcaraw, Jacob Jander Aug 2026

Automation And Robotics In Timber Construction Prefabrication, Jason Grabowski, Anish Mandyam, Samuel Mcaraw, Jacob Jander

Discovery Day - Daytona Beach

Robotics and automation have varying degrees of utilization across the construction prefabrication industry. The timber prefabrication industry is uniquely positioned for the implementation of robotics and automation due to the environment being more controlled than most of the construction industry. Current developments are influenced by the evolution of "Construction 4.0/5.0," where the integration of digital technologies and robotics is transforming timber prefabrication from traditional subtractive CNC machining into a highly precise, additive, and collaborative process. The purpose of this project is to conduct a systematic literature review of the state of-the-art and near-future developments of automation and robotics in timber …


Rockin’ Rover On The Rainbow Road, Michael Kolta, Lawrence Burgee, Ying Yuan Aug 2026

Rockin’ Rover On The Rainbow Road, Michael Kolta, Lawrence Burgee, Ying Yuan

Transformations

This paper presents a progressive series of age-appropriate lesson plans for grades K-12 that all use the same interdisciplinary activity to educate students about Science, Technology, Engineering, Art, and Mathematics (STEAM) simultaneously. Technology from Texas Instruments (TI) was employed including a TI Nspire graphing calculator that can run Python programs, a TI Innovator Hub, and a TI Rover. The TI Rover is a small, robotic car that has sensors and is controlled by the calculator via the Hub hardware interface. A Python program was developed that uses the color sensor in the Rover to detect the color on colored paper …


Development And Testing Of A Computer Vision Pose Estimation System For Planar Mobile Robots, Andrew Jones Aug 2026

Development And Testing Of A Computer Vision Pose Estimation System For Planar Mobile Robots, Andrew Jones

Master's Theses

This thesis details the development and testing of a computer vision-based real-time pose estimation system for differential drive robots. A single camera with a fisheye lens is used to locate ArUco markers placed at fixed locations and attached to robots. Using the OpenCV library, the Perspective-n-Point (PnP) problem is solved to facilitate the transformation of 2-D robot positions in an image to world-frame coordinates. An analytical solution is presented to estimate robot poses based on a single PnP solution, rather than solving the PnP problem for each pose estimate. Pose information is relayed to individual robots using a multi-microcontroller architecture …


Evaluation Of General Voronoi Diagram Decomposition For Harmonic Fields In Navigation Of Dynamic Environments, Franco Abullarade Aug 2026

Evaluation Of General Voronoi Diagram Decomposition For Harmonic Fields In Navigation Of Dynamic Environments, Franco Abullarade

Master's Theses

Harmonic potential fields provide provably minimum-free navigation, but any change to the workspace geometry invalidates the field and forces a costly global recomputation, typically restricting them to static environments. This thesis extends the harmonic map framework of Vlantis et al., which maps the free workspace onto a unit disk and uses an atlas of per-region transformations, to dynamic indoor settings. First, we replace their manually annotated room partition with an automatic decomposition based on the Generalized Voronoi Diagram, allowing the atlas to be built from an arbitrary occupancy grid in an automated way. Second, we introduce a localized repair procedure …


Evaluating Machine Learning Models On Classification Of Novel Cyber Attacks In The Healthcare Domain, Promise Ehimen Jul 2026

Evaluating Machine Learning Models On Classification Of Novel Cyber Attacks In The Healthcare Domain, Promise Ehimen

Dissertations, Theses, and Projects

The increasing adoption of the Internet of Medical Things (IoMT) has improved healthcare delivery through connected medical devices while simultaneously expanding the cybersecurity risks facing healthcare organizations. Although machine learning based intrusion detection systems have demonstrated high detection accuracy, their ability to respond reliably to previously unseen cyberattacks remains uncertain. This study investigated how a Neural Network model and a Logistic Regression model classified novel cyberattacks within the IoMT environment. The Neural Network and Logistic Regression models were both trained and tested using a subset of the CICIoMT2024 benchmark dataset. The Neural Network achieved 99.82% test accuracy and a 0.94 …


Robot Remote Control Utility, Jeremy Cantu, Paul Uhlig Jul 2026

Robot Remote Control Utility, Jeremy Cantu, Paul Uhlig

Systems Manuals - 2026

The purpose of this document is to describe the Robot Control Management Utility developed in the course of this graduate project. Information included in this document will include the background of the developed product, as well as the functional requirements, data structures, software modules, interface design, installation guide, and sample and troubleshooting guides.


En-Feat: An Effective Feature Selection Method Using Ensemble Approach, Sasank Nath, Dhruba Kumar Bhattacharyya Jun 2026

En-Feat: An Effective Feature Selection Method Using Ensemble Approach, Sasank Nath, Dhruba Kumar Bhattacharyya

Mansoura Engineering Journal

Feature selection is a crucial step in machine learning and data preprocessing, significantly influencing model performance and interpretability. This paper presents a comprehensive study and contributions in the domain of feature selection by integrating traditional learning techniques with ensemble-based, proposing an effective approach. We propose a Mutual Information-based feature aggregation approach applied to union sets of features, aiming to derive an optimal subset of features that maximizes accuracy. Then, we employ an ensemble method that utilizes forward selection over union sets to identify the optimal feature subsets through sequential feature selection. Our ensemble-based feature selection method called En-feat, is evaluated …


Robust Real-Time Uav Target Tracking With Onboard Vision-Based Yaw Control, Rylan Malarchick, Jose Castelblanco, Enrique Amaya, Carmen Dimario, Graysen Brinkman, Chirag Kumar, Kiwon Yoon, Sajid Berhane Jun 2026

Robust Real-Time Uav Target Tracking With Onboard Vision-Based Yaw Control, Rylan Malarchick, Jose Castelblanco, Enrique Amaya, Carmen Dimario, Graysen Brinkman, Chirag Kumar, Kiwon Yoon, Sajid Berhane

Beyond: Undergraduate Research Journal

Autonomous tracking of agile unmanned aerial vehicles (UAVs) presents significant challenges for real-time perception and control systems. This work presents AIRHOUND (Autonomous Intelligent Rotorcraft for Hostile Object Unified Navigation and Detection), a UAV platform implementing vision-based yaw tracking through a modular ROS2 software architecture. The system employs YOLOv8 object detection optimized with NVIDIA TensorRT for embedded deployment on an NVIDIA Jetson Orin companion computer. Detected targets are processed through a geometric tracking module that converts pixel coordinates to angular yaw errors using pinhole camera intrinsics, with a proportional controller generating rate-limited yaw commands. These commands are streamed to a PX4 …


Vision-Guided Motion Planning For Autonomous Catch With A Robotic Arm, Kayla Go-Oco, Ashik K. Islam, Raegan Gritzmacher Jun 2026

Vision-Guided Motion Planning For Autonomous Catch With A Robotic Arm, Kayla Go-Oco, Ashik K. Islam, Raegan Gritzmacher

Electrical Engineering

Modern robotic systems are often evaluated using static and highly controlled tasks, such as pick-and-place demonstrations, which do not fully represent the uncertainty and adaptability required in real-world environments. A major challenge in robotics research is enabling robotic systems to perceive, track, and respond to dynamic objects in real time while maintaining accurate and reliable motion control. This project addresses these challenges by developing an autonomous robotic platform in which an OpenMANIPULATOR-Y robotic arm detects, tracks, and attempts to catch a moving tennis ball using a vision-guided control system. The system integrates YOLO-based object detection with an Intel RealSense D455 …


Autonomous Vision-Based Litter Collection Rover, Dante Michael Benedetti, Benjamin Scott Tavares, Nathan Heil Jun 2026

Autonomous Vision-Based Litter Collection Rover, Dante Michael Benedetti, Benjamin Scott Tavares, Nathan Heil

Electrical Engineering

This report documents the design, implementation, and testing of an autonomous litter-collection rover developed as a Senior Project Design Lab (EE 460/463/464) at California Polytechnic State University. The rover integrates autonomy, computer vision, embedded real-time control, mecanum-wheel omnidirectional mobility, and a two-degree-of-freedom robotic arm to detect, approach, and collect small ground-level litter such as bottles, wrappers, and paper fragments.

The system uses a two-layer compute architecture: an NVIDIA Jetson Orin Nano running ROS 2 for perception, SLAM, and path planning, paired with an STM32L4A6ZG microcontroller for real-time motor control and odometry. The robot is built on a multi-level aluminum frame …


Design And Parametric Study Of A Mems-Based Reservoir Computer For Reinforcement Learning, Andrew P. Carr Jun 2026

Design And Parametric Study Of A Mems-Based Reservoir Computer For Reinforcement Learning, Andrew P. Carr

Master's Theses

Single-node reservoir computing (RC) is a hardware-efficient approach to machine learning, leveraging the dynamics of physical systems. In this work, two reinforcement learning algorithms, Q-learning and Proximal Policy Optimization (PPO), are applied to a simulated micro-electro-mechanical system (MEMS)-based reservoir computer to solve both discrete and continuous control tasks. MEMS-based reservoirs are low-power, compact, and their natural frequencies (kHz to MHz) pair well with real-time control loops. To explore the relationship between reservoir dynamics and learning performance, a parametric study is conducted on two reservoir hyperparameters, reservoir size and neuron separation, using CartPole-v1 and MountainCar-v0. The RC successfully learns multiple tasks …


Integration Of Robotic Arm And Conveyor With Programmable Logic Controller, Drake A. Small Jun 2026

Integration Of Robotic Arm And Conveyor With Programmable Logic Controller, Drake A. Small

Master's Theses

To meet new curriculum demands brought on by Cal Poly's upcoming switch to semesters, a new, cross-disciplinary lab module was developed for EE 435 (Industrial Power Control and Automation). The module emphasizes career-applicable skills, preparing students for the field of controls engineering within the manufacturing industry. These skills include robotic control, computer networking and configuration, and embedded systems. The work focused on integrating a collaborative robot arm to pick-and-place boxes on a conveyor. A myCobot 320 Pi and an Ultimation Powered Roller MDR Conveyor were integrated with the existing PLC system using Modbus RTU and EtherNet/IP communication protocols, respectively. A …


Adaptive Multimodal Smart Home Control On A Raspberry Pi 5 Using Hand Gestures, Voice Cues, And User Feedback, Vaibhav Bora May 2026

Adaptive Multimodal Smart Home Control On A Raspberry Pi 5 Using Hand Gestures, Voice Cues, And User Feedback, Vaibhav Bora

Theses

A real time multimodal smart home control system deployed on a Raspberry Pi 5 is presented. The system combines hand gestures, short voice cues, and proximity aware interaction to execute household commands such as light brightness control, fan speed adjustment, and stop or kill switch actions. Lightweight gesture and keyword spotting voice classifiers were trained offline and exported to TensorFlow Lite for efficient on device inference. For more natural spoken phrases, the system additionally integrates a locally deployed pretrained offline ASR component rather than a speech recognizer trained from scratch. Using a USB camera and microphone, the system operates fully …


Meeting The Moment With Ai-Employer Informed Education, Brent Terwilliger, John Faraca May 2026

Meeting The Moment With Ai-Employer Informed Education, Brent Terwilliger, John Faraca

Publications

As artificial intelligence transforms aviation, aerospace, and autonomy-related sectors, higher education must adapt to meet evolving workforce demands. This session shares emerging findings from a nationwide study led by Embry-Riddle Aeronautical University, focused on employer perceptions of AI adoption, responsible use, and workforce preparedness in domains including uncrewed systems, space systems, robotics, and advanced air mobility. Based on a structured survey and follow-up interviews, the presentation explores how organizations are using AI tools, from generative platforms to enterprise systems, and defining effective and inappropriate use in operational contexts. Participants will gain insight into critical concerns (e.g., data privacy, compliance, security, …


Simulated Intelligence, Surveillance, And Play, Atienah Cape May 2026

Simulated Intelligence, Surveillance, And Play, Atienah Cape

Theses - ALL

This MFA thesis explores modern panopticism and the feeling of being watched by creating and installing Four Real Friends, an interactive robotic artwork inspired by the 1998 Furby. The project looks at how surveillance technologies are not just outside forces, but part of daily life, often feeling familiar, playful, and even social. The installation uses hardware design, custom circuits, computer vision, and real-time data display to collect and process how visitors interact in the gallery. Its nostalgic and friendly look encourages people to take part, while still showing how data is collected and displayed as it happens. This makes surveillance …


Symmetries Of Legged Locomotion: Theory And Applications In Animals And Robots, Jiayu Ding May 2026

Symmetries Of Legged Locomotion: Theory And Applications In Animals And Robots, Jiayu Ding

Dissertations - ALL

Legged locomotion in animals and robots is naturally modeled as a hybrid dynamical system: smooth body evolution is repeatedly interrupted by discrete contact events such as touchdown and liftoff. Although symmetry is a powerful organizing principle in smooth dynamical systems, a comparably systematic symmetry framework for hybrid legged locomotion remains underdeveloped. This dissertation develops such a framework for a scoped class of periodic hybrid locomotion models and uses it to relate theoretical gait analysis, animal locomotion studies, and robotic gait generation. The dissertation first extends symmetry notions from autonomous dynamics to hybrid legged systems and distinguishes symmetries of the hybrid …


Designing A Collaborative Uav-Ugv System For Autonomous Challenge Completion, Ember Reysen May 2026

Designing A Collaborative Uav-Ugv System For Autonomous Challenge Completion, Ember Reysen

Honors Theses

The coordination between Unmanned Aerial Vehicles (UAVs) and Unmanned Ground Vehicles (UGVs) holds significant potential for completing complex tasks such as disaster response and construction surveillance by leveraging the strengths of aerial flight and stable on-ground transportation. Unfortunately, coordination between UAVs and UGVs is extremely complex and task-dependent, leading to limited understanding of autonomous collaboration. This thesis explores the process of designing an UAV-UGV collaborative system capable of aerially scouting a target destination, relaying its coordinates to a ground vehicle, and performing a precision landing for unison travel. I utilize computer vision techniques via OpenCV for target marker identification, ROS …


Temporal Logic Planning In Semantic Maps Of Unknown Environments Using Tl-Rrt, Dongrui Yang May 2026

Temporal Logic Planning In Semantic Maps Of Unknown Environments Using Tl-Rrt, Dongrui Yang

McKelvey School of Engineering Graduate Student Theses & Dissertations

Autonomous mobile robots are increasingly expected to perform complex missions in unstructured environments. Traditional path planning approaches handle simple point-to-point navigation, but struggle with complex tasks that involve temporal and logical orderings of objectives. Linear Temporal Logic (LTL) provides a method for complex missions (e.g., sequential visits to multiple targets or surveillance tasks) in a strict way. This thesis presents an integrated planning framework that enables a robot to satisfy LTL-based task specifications in an unknown environment by combining a Temporal Logic RRT* (TL-RRT*) planner with semantic mapping. The robot builds a semantic map of its environment online using simultaneous …


Safe Control Design For Quadruped Locomotion In Unstructured Environments Using Linear Transfer Operators, Sriram Sundar Krishnamoorthy Shankara Narayanan May 2026

Safe Control Design For Quadruped Locomotion In Unstructured Environments Using Linear Transfer Operators, Sriram Sundar Krishnamoorthy Shankara Narayanan

All Dissertations

Deploying quadruped robots in unstructured, obstacle-rich environments requires control and planning methods that remain safe and reliable despite complex terrain geometry, limited sensing, and inevitable modeling errors. This thesis develops operator-theoretic tools for safe control design of robotic systems using linear transfer operators, with a focus on quadruped locomotion in unstructured environments. The central goal is to develop a unified operator-theoretic framework for safe control design based on the Perron–Frobenius (P–F) and Koopman operators. In particular, the thesis leverages \emph{density functions} to develop safe navigation frameworks in the dual space of densities. In the operator-theoretic perspective, the P–F operator governs …