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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

PhD Defense | July 1, 2025

Abenezer Girma Taye

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

Fatalities

3

Challenges with the current ground-based transportation

In 2023, 40,990 people lost their lives in motor vehicle crashes in the United States [1]

[1] National Highway Traffic Safety Administration.

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

Fatalities

Traffic Congestion

4

Challenges with the current ground-based transportation

In 2024, average U.S. driver lost 43 hours to traffic congestion [2]

[2] INRIX Global Traffic Scorecard

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

Fatalities

Traffic Congestion

5

Challenges with the current ground-based transportation

The largest contributor to U.S. greenhouse gas emissions 29% [3]

[3] U.S. Environmental Protection Agency

Emission

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

Fatalities

Traffic Congestion

Expensive

6

Challenges with the current ground-based transportation

The second-largest expense in a typical American household [4]

[4] Bureau of Transportation Statistics

Emission

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Enhancing Safety and Energy-Efficiency in Advanced Air Mobility Through Trajectory Planning and Mission Feasibility Assessment Strategies

Fatalities

Traffic Congestion

Expensive

Stressful

7

Challenges with the current ground-based transportation

Higher risk of depression and anxiety - elevate cardiovascular health risks [5]

[5] Yuliya Y Shitova. The impact of long-distance travel to work on the health of commuting labour migrants: a literature review. Population and Economics, 2024.

Emission

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Advance Air Mobility (AAM)

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Image credit – airdatanews, Getty/PhonlamaiPhoto, Unmanned Airspace

What is AAM?

“An emerging sector in the aerospace industry that aims to safely and efficiently integrate highly automated aircraft into the national airspace system (NAS)”

[6] https://www.faa.gov/air_traffic/publications/atpubs/aim_html/chap11_section_6.html

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[7] Video credit: https://www.jobyaviation.com/

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AAM Challenges

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[8] George Price, Douglas Helton, Kyle Jenkins, Mike Kvicala, Steve Parker, Russell Wolfe, Felix A Miranda, Kenneth H Goodrich, Min Xue, Karen Tung Cate, et al. Urban air mobility operational concept (opscon) passenger-carrying operations. 2020.

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AAM Challenges

11

Safe and Scalable Real-Time Trajectory Planner for UAM Operations

Chapter 2

Energy-Efficient Trajectory Planning and Mission Feasibility Assessment Framework

Chapter 3

Online Mission Feasibility Assessment and Contingency Management Framework

Chapter 4

[8] George Price, Douglas Helton, Kyle Jenkins, Mike Kvicala, Steve Parker, Russell Wolfe, Felix A Miranda, Kenneth H Goodrich, Min Xue, Karen Tung Cate, et al. Urban air mobility operational concept (opscon) passenger-carrying operations. 2020.

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AAM Challenges

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Online Mission Feasibility Assessment and Contingency Management Framework

Chapter 4

Energy-Efficient Trajectory Planning and Mission Feasibility Assessment Framework

Chapter 3

Safe and Scalable Real-Time Trajectory Planner for UAM Operations

Chapter 2

LLM-based Flight Planning

[DASC, 2024]

Energy-Aware Traffic Management

[SciTech, 2025]

eVTOL Charging Infrastructure Planning

[Aviation, 2024]

Computer Vision based

Autonomous Landing

[Aviation, 2025]

[8] George Price, Douglas Helton, Kyle Jenkins, Mike Kvicala, Steve Parker, Russell Wolfe, Felix A Miranda, Kenneth H Goodrich, Min Xue, Karen Tung Cate, et al. Urban air mobility operational concept (opscon) passenger-carrying operations. 2020.

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Problem Statement Summary

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Develop trajectory planning and mission feasibility assessment strategies to

enable safe, scalable, energy-efficient, and resilient operations in AAM.

Overarching Research Objective

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Problem Statement Summary

14

Develop trajectory planning and mission feasibility assessment strategies to

enable safe, scalable, energy-efficient, and resilient operations in AAM.

Overarching Research Objective

How can we generate energy-efficient trajectories and assess mission feasibility?

How can we assess the feasibility of a flight mission online and manage a contingency?

How can we ensure both safety and scalability

in UAM trajectory planning?

Chapter 2

Chapter 3

Chapter 4

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Safe and Scalable Trajectory Planner for

Urban Air Mobility Operations

[9]Abenezer G. Taye, Josh Bertram, Chuchu Fan, and Peng Wei. “Reachability-based online safety verification for high-density urban air mobility trajectory planning,” AIAA AVIATION 2022 Forum, 2022.

[10]Abenezer G. Taye, Roberto Valenti, Akshay Rajhans, Anastasia Mavrommati, Pieter J. Mosterman, and Peng Wei. “Safe and scalable real-time trajectory planning framework for urban air mobility,” Journal of Aerospace Information Systems (JAIS), 2024.

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Motivation: Urban air mobility

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  • As UAM progresses in levels of maturity 🡪 thousands of operations simultaneously
  • Need for automated tools responsible for planning and operation execution (UAM Operator)

[10] Urban Air Mobility (UAM) Concept of Operations (ConOps) Version 2.0. 2020

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Motivation

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Urban air mobility (UAM) is -

Multi-Agent System

Safety-Critical

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Motivation

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Safety is the first design requirement

Multi-Agent System

Safety-Critical

Scalability is the second design requirement

General Idea

  • Safety - Reachability analysis based online safety verification scheme
  • Scalability - FastMDP based scalable decision-making scheme

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Motivation

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Safety is the first design requirement

Multi-Agent System

Safety-Critical

Scalability is the second design requirement

General Idea

  • Safety - Reachability analysis based online safety verification scheme
  • Scalability - FastMDP based scalable decision-making scheme

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Contributions

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Safe and scalable UAM

trajectory planner

Action shielding mechanism

to enhance safety

Reward shaping mechanism

to enhance safety

State

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Problem Formulation

Ownship

Intruder

Intruder

Unsafe

Area

Unsafe

Area

Free-flight based urban air mobility operation

Goal

  • Progress to assigned vertiport - Avoid going into “Unsafe Area”

Vertiport

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Problem Formulation

Ownship

Intruder

Intruder

Unsafe

Area

Unsafe

Area

Assumptions

  • Noise-free sensing scheme - ownship has access to current position of nearby aircraft
  • Homogeneous fleet of aircraft - each aircraft has the same dynamics

Vertiport

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Problem Formulation

Ownship

Intruder

Unsafe

Area

Markov Decision Process

Reachability Analysis

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MDP Formulation

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Formulation:

Markov decision process based safe and scalable trajectory planner

Urban Air Mobility Scenario

Reward Function

V

Unsafe

area

Unsafe

area

Ownship

Vertiport

Guidance Model [4]

[11] Beard, R. W., and McLain, T. W., Small unmanned aircraft: Theory and practice, Princeton University Press, 2012

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MDP Formulation

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State transition

Formulation:

Markov decision process based safe and scalable trajectory planner

Action set

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Reachability Analysis

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Formulation:

A reachable set of a system refers to a set that contains all possible future states of the system

Data-driven reachability analysis tool known as DryVR [12]

Compute discrepancy parameters

Compute sensitivity parameters

Compute distance between trajectories

[12] Fan, C., Qi, B., Mitra, S., and Viswanathan, M., “DryVR: Data-Driven Verification and Compositional Reasoning for Automotive Systems,” Computer Aided Verification, edited by R. Majumdar and V. Kunčak, Springer International Publishing, Cham, 2017

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Reachability Analysis

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Working Procedure

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Compute rewards

Future states

Value

function

Update

states

Best

actions

Goal reached?

Remove aircraft

 

 

 

 

 

Aircraft 1

Assign initial and goal states

Update

states

Best

actions

Value

function

Compute rewards

Future states

Goal reached?

Remove aircraft

Aircraft 2

Assign initial and goal states

Update

states

Goal reached?

Best

actions

Value

function

Compute rewards

Future states

Remove aircraft

Aircraft N

Assign initial and goal states

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Simulation Results

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Aircraft

Future 10 sec trajectory

Goal state

Traveled path

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Simulation Result for 8 Agents

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Simulation Result for 16 Agents

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Simulation Result for 32 Agents

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Results

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Experimental Settings:

25 Experiments for each case

Near Mid Air Collision (NMAC) 🡪 152m horizontal and 30m vertical separation [6]

All experiments are conducted on Intel(R) Xeon(R) W-2133 cores running at 3.60GHz

[13] S. Chen, A. Evans, M. Brittain and P. Wei, “Integrated Conflict Management for UAM with Strategic Demand Capacity Balancing and Learning-based Tactical Deconfliction”, IEEE Transactions on Intelligent Transportation Systems, vol. 25, no. 8, Jan. 2024.

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Action Shielding

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Objective:

Filter out actions that result in unsafe states [14]

Future States

Shield

Dead-lock Control Actions

[14] K.nighofer, B., Lorber, F., Jansen, N., and Bloem, R., “Shield synthesis for reinforcement learning,” Leveraging Applications of

Formal Methods, Verification and Validation: Verification Principles. ISoLA 2020, Rhodes, Greece, Springer, 2020

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Reward Shaping

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State

Objective:

Modify the reward received by the agent to guide the agent toward desired behaviour [15]

Modified

Reward

Reward Shaping

Function

Difference of

Potentials

[15] Ng, A. Y., Harada, D., and Russell, S., “Policy invariance under reward transformations: Theory and application to reward

shaping,” International Conference on Machine Learning (ICML), Vol. 99, 1999

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Energy-Efficient Trajectory Planning and Mission Feasibility Assessment Framework

[16] Abenezer Taye, Ellis L. Thompson, Peng Wei, Timothy Bonin, and James C. Jones. “Probabilistic evaluation for flight mission feasibility of a small octocopter in the presence of wind,” AIAA AVIATION 2023 Forum.

[17] Abenezer G. Taye and Peng Wei. “Flight mission feasibility assessment of urban air mobility operations under battery energy constraint,” AIAA SCITECH 2024 Forum.

[18] Abenezer G. Taye and Peng Wei. “Energy-efficient trajectory planning and feasibility assessment framework for drone package delivery,” Journal of Aerospace Information Systems (JAIS), 2025.

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Motivation: Drone package delivery

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Problem:

Enhance safety and energy-efficiency of drone package delivery operations

Zipline [1]

DroneUp [2]

Amazon Prime Air [3]

Wing [4]

UPS Flight Forward [5]

NASA [6]

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Motivation: Drone package delivery

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  • As UTM progresses in levels of maturity 🡪 thousands of operations simultaneously
  • Need for automated tools that aid in the planning and decision-making process (UAS Operator)

[19] Unmanned Aircraft System (UAS) Traffic Management (UTM) Concept of Operations (ConOps) Version 2.0. 2020

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Motivation: Drone package delivery

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Objective:

Develop energy-efficient trajectory planner + feasibility assessment framework

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Objective

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  • Develop a pre-departure flight planning and decision-making framework for UAS operations:
      • Safety between aircraft trajectories
        • Use reachability analysis based online safety verification
      • Energy-efficient trajectories
        • Accounting for wind and several aircraft related factors
      • Flight mission feasibility assessment
        • Battery state prediction uncertainty quantification
      • Realistic package delivery scenario
        • Assess the performance of the framework
      • Flight test validation
        • Partial validation of the feasibility assessment framework

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Problem Formulation

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Safe and energy-efficient trajectories

Our problem has two major challenges

Mission feasibility assessment

Pre-departure flight planning and battery energy related flight mission feasibility assessment

Cleared for flight

Hold

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Contributions

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Energy-efficient trajectories

Mission feasibility assessment

Flight test validation

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Hierarchical Framework

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Working procedure of the proposed framework

Multi-Agent Trajectory

Planning

Mission Feasibility Assessment

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Upper Layer

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Trajectory Planner:

Markov decision process based safe and energy-efficient trajectory planner

Reward Function

Energy-Efficiency

Reachability Analysis

Package Delivery Scenario

Guidance Model [9]

[20] Corbetta, M., Banerjee, P., Okolo, W., Gorospe, G., and Luchinsky, D. G., “Real-time uav trajectory prediction for safety monitoring in low-altitude airspace,” AIAA AVIATION 2019 forum, 2019

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Upper Layer

Energy-Efficiency:

A set of energy-efficiency reward functions have been developed

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Energy Cost Function

Objective:

Train an energy cost function

Data collection

Future states

Battery simulation

Energy consumption

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Trajectory Deviation Reward

Objective:

Compute the angle between each future state and the shortest path

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Wind-Aware Planning

Objective:

Compute the angle between velocity at each future state and wind field.

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Results

Package Delivery Scenario:

Collected CFD simulated wind data for a region near the city of Boston [10]

[21] Baskar, D., and Gorodetsky, A., “A Simulated Wind-field Dataset for Testing Energy Efficient Path-Planning Algorithms for

UAVs in Urban Environment,” AIAA AVIATION 2020 FORUM, 2020

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Results

Package Delivery Scenario:

Two aircraft conducting a package delivery mission from a depot

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Results

Power Profile Comparison:

Two aircraft conducting a package delivery mission from a depot

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Lower Layer

52

[22] Daigle, M., and Kulkarni, C. S., “Electrochemistry-based battery modeling for prognostics,” Annual Conference of the PHM Society, Vol. 5, 2013

Objective:

Performs battery feasibility assessments for the generated trajectories

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Lower Layer

53

Objective:

Performs battery feasibility assessments for the generated trajectories

Electro-chemical-based model adopted from [12]

A detailed octocopter dynamics adopted from [11]

[23] Ahmed, I., Quinones-Grueiro, M., and Biswas, G., “A high-fidelity simulation test-bed for fault-tolerant octo-rotor control using reinforcement learning,” 2022 IEEE/AIAA 41st Digital Avionics Systems Conference (DASC), IEEE, 2022

[24] Daigle, M., and Kulkarni, C. S., “Electrochemistry-based battery modeling for prognostics,” Annual Conference of the PHM Society, Vol. 5, 2013

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Final Decisions

Flight Operator

Framework Workflow

Aircraft Type

Flight Planning and Feasibility Assessment

Framework

Battery SoC

Cleared for Flight

Hold the Aircraft

Keep Charging the Aircraft

Wind Forecast

Delivery

Locations

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Decision Making

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Objective:

Performs battery feasibility assessments and make decisions based of the assessment

Cleared for flight

Hold

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Decision Making

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Objective:

Performs battery feasibility assessments and make decisions based of the assessment

Cleared for flight

Hold

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Validation

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Objective:

Hardware validation of the feasibility assessment framework

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Validation

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Objective:

Hardware validation of the feasibility assessment framework

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Real-Time Flight Mission Feasibility Assessment and Contingency Management Framework

[*] The content of this chapter has been submitted to the 36th International Conference on Principles of Diagnosis and Resilient Systems (DX 2025) and is currently under review.

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Problem Setting

Mission Feasibility

Depot Location

Delivery Location

Delivery Drone

Energy Consumption Model

Future

Trajectory

Learning based

Battery State Predictor

Battery state at

End of Flight

  • How do we accurately predict battery states under changing conditions, in real time?
  • How do we build models that are fast enough to meet the feasibility assessment time budget?

Research Problems

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Related Works

Energy Consumption Model

Future

Trajectory

Learning based

Battery State Predictor

Battery state at

End of Flight

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Proposed Framework

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Convert Power Profile

To Current Profile

Learning-based

Battery Model

Battery State Prediction

Initial and Final

Locations

Flight Plan

Generator

Identify Flight

Segments

Power

Consumption

Model

Power Consumption Prediction

Perform Feasibility

Assessment

Proceed?

Reroute

Feasibility Assessment and Decision Making

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Initial and Final

Locations

Flight Plan

Generator

Identify Flight

Segments

Power

Consumption

Model

Power Consumption Prediction

Power and Current Profile Prediction

Power Consumption Model

[25] Gina Sierra, M Orchard, Kai Goebel, and C Kulkarni. Battery health management for small-size rotary-wing electric unmanned aerial vehicles: An efficient approach for constrained computing platforms. Reliability Engineering & System Safety, 2019.

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Initial and Final

Locations

Flight Plan

Generator

Identify Flight

Segments

Power

Consumption

Model

Power Consumption Prediction

Power and Current Profile Prediction

Power Consumption Model

Power-to-Current Conversion

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Proposed Framework

65

Convert Power Profile

To Current Profile

Learning-based

Battery Model

Battery State Prediction

Initial and Final

Locations

Flight Plan

Generator

Identify Flight

Segments

Power

Consumption

Model

Power Consumption Prediction

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Proposed Framework

66

Convert Power Profile

To Current Profile

Learning-based

Battery Model

Battery State Prediction

Batteries

  • Continuous time systems
  • Dynamics -differential equations
  • Neural Ordinary Differential Equations
  • Physics Informed Neural Networks

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Proposed Framework

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Convert Power Profile

To Current Profile

Learning-based

Battery Model

Battery State Prediction

Batteries

  • Continuous time systems
  • Dynamics -differential equations
  • Neural Ordinary Differential Equations
  • Physics Informed Neural Networks

Dataset Construction

Model Training & Evaluation

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Dataset Generation

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Full Flight and Mid-Flight Current Profiles

Simulated Voltage Trajectories

[26] Daigle, M., and Kulkarni, C. S., “Electrochemistry-based battery modeling for prognostics,” Annual Conference of the PHM Society, Vol. 5, 2013

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Neural Differential Equations (Neural ODEs)

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General Idea

    • Continuous time model that learns the fundamental differential equations of a system
    • Can be thought as a generative time series model

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Physics Informed Neural Network (PINN)

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General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

Equivalent Circuit Model

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Results

71

Package Delivery Scenario:

Developed a drone package scenario in the Dallas Fort Worth area

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Results

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Results

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Package Delivery Scenario:

Developed a drone package scenario in the Dallas Fort Worth area

Infeasible

Short

EM3

EM1

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Results

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Cleared for flight

Re-route

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Results

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Cleared for flight

Re-route

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Results

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Package Delivery Scenario:

Spatial visualization of voltage predictions along each flight trajectory

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Results

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Summary

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Develop trajectory planning and mission feasibility assessment strategies to

enable safe, scalable, energy-efficient, and resilient operations in AAM.

Overarching Research Objective

Energy-efficient trajectory planning and feasibility assessment framework

Real-time feasibility assessment and contingency management framework

Safe and scalable UAM trajectory planner

Chapter 2

Chapter 3

Chapter 4

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Future Works

79

Energy-efficient trajectory planning and feasibility assessment framework

Real-time feasibility assessment and contingency management framework

Safe and scalable UAM trajectory planner

Chapter 2

Chapter 3

Chapter 4

  • Incorporating state uncertainty
  • Cooperative multi-agent setting
  • Non-homogeneous multi-agent setting
  • Collision avoidance with static obstacle
  • Incorporating battery state of health
  • Model optimization for onboard

deployment

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Publications

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  1. Taye, A.G., A. Coursey, M. Quinones-Grueiro, C. Hu, G. Biswas, P. Wei, “Safe to Fly? Real-Time Flight Mission Feasibility Assessment for Drone Package Delivery Operations” submitted to the 36th International Conference on Principles of Diagnosis and Resilient Systems
  2. Taye, A.G., Wei, P., “Energy-Efficient Trajectory Planning and Mission Feasibility Assessment Framework for Drone Package Delivery Operations”, AIAA Journal of Aerospace Information Systems. Mar. 2025.
  3. Taye, A.G., Valenti, R., Rajhans, A., Mavrommati, A., Mosterman, P.J. and Wei, P., “Safe and Scalable Real-Time Trajectory Planning Framework for Urban Air Mobility.” AIAA Journal of Aerospace Information Systems, Aug. 2024.
  4. Taye, A.G. and Wei, P., Flight Mission Feasibility Assessment of Urban Air Mobility Operations under Battery Energy Constraint”, AIAA SCITECH, Orlando, FL, Jan. 2024.
  5. Taye, A.G., Thompson, E.L., Wei, P., Bonin, T. and Jones, J.C., “Probabilistic Evaluation for Flight Mission Feasibility of a Small Octocopter in the Presence of Wind”, AIAA AVIATION, San Diego, CA, Jun. 2023.
  6. Taye, A.G., Bertram, J., Fan, C. and Wei, P., “Reachability based online safety verification for high-density urban air mobility trajectory planning”, AIAA AVIATION, Chicago, IL, Jun. 2022.
  1. Taye, A.G., Chen, S., Wei, P., “Energy-Aware Strategic Traffic Management for Urban Air Mobility”, Accepted by AIAA SCITECH, Orlando, FL, Jan 2025.
  2. A. Tabrizian, P. Gupta, A. Taye, J. Jones, E. Thompson, S. Chen, T. Bonin, D. Eberle and P. Wei, “Using Large Language Models to Automate Flight Planning under Wind Hazards”, AIAA/IEEE Digital Avionics Systems Conference (DASC), San Diego, CA, Sept. 2024.
  3. Taye, A.G., Wei, P., Pradeep, P., Jones, J.C., Bonin, T., and Eberle, D., Energy Demand Analysis for eVTOL Charging Stations in Urban Air Mobility”, AIAA AVIATION, Las Vegas, NV, July 2024.
  4. P. Razzaghi, A. Tabrizian, W. Guo, S. Chen, A. Taye, E. Thompson, A. Bregeon, A. Baheri and P. Wei, “A Survey on Reinforcement Learning in Aviation Applications”, Engineering Applications of Artificial Intelligence, vol. 136, part A, Oct. 2024.
  5. Thompson, E.L., Taye, A.G., Guo, W., Wei, P., Quinones, M., Ahmed, I., Biswas, G., Carr, S., Topcu, U. and Jones, J.C., “A survey of eVTOL aircraft and AAM operation hazards.” AIAA AVIATION, Chicago, IL, Jun. 2022.
  6. J. Xu, C. Vu, A. Taye, A. Tabrizian, P. Wei, “Small UAS Landing Site Detection with ArUco Markers and Deep Learning based Computer Vision”, Accepted by AIAA AVIATION, Las Vegas, NV, July 2025.
  7. D. Ding, C. Vu, A. Taye, A. Tabrizian, P. Wei, Z. Zhao, “Synthetic Data Generation for Computer Vision based Autonomous Landing for Small UAS Package Delivery”, Accepted by AIAA AVIATION, Las Vegas, NV, July 2025.

Dissertation Related

Non-Dissertation

Open-Source Code

Chapter 2

Chapter 3

Chapter 4

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Thank You!�Questions and Comments

Abenezer Taye

abenezertaye@gwu.edu

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Other Experiences

Community Service

  • Served as a reviewer:
    • Journal of Aerospace Information Systems
    • IEEE Intelligent Transportation Systems
    • The Aeronautical Journal
    • AIAA AVIATION and SCITECH

Summer Internships

  • MathWorks Advanced Research and Technology Office
    • May 2022 – August 2022
  • Sensor Fusion and Tracking Toolbox
    • May 2023 – August 2023

Teaching

  • Mentored 4 undergrad students in battery-feasibility related research
  • Teaching assistant for the course MAE 4182: Electro-Mechanical Control Systems (Fall 2024)

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Results

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Package Delivery Scenario:

Developed a drone package scenario in the Dallas Fort Worth area

Infeasible

Short

EM3

EM1

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Physics Informed Neural Network (PINN)

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General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

Equivalent Circuit Model

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Physics Informed Neural Network (PINN)

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General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

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Physics Informed Neural Network (PINN)

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General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

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Physics Informed Neural Network (PINN)

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General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

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Physics Informed Neural Network (PINN)

88

General Idea

    • Incorporating known physics information into the training process
    • Our PINN model is composed of LSTM + Equivalent Circuit Model

THE GEORGE WASHINGTON UNIVERSITY

89 of 91

Neural Differential Equations (Neural ODEs)

89

General Idea

    • Continuous time model that learns the fundamental differential equations of a system
    • Can be thought as a generative time series model

State

Encoder

Decoder

THE GEORGE WASHINGTON UNIVERSITY

90 of 91

Neural Differential Equations (Neural ODEs)

90

General Idea

    • Continuous time model that learns the fundamental differential equations of a system
    • Can be thought as a generative time series model

① Deterministic

Latent space = Voltage space

② Voltage prediction

THE GEORGE WASHINGTON UNIVERSITY

91 of 91

Neural Differential Equations (Neural ODEs)

91

General Idea

    • Continuous time model that learns the fundamental differential equations of a system
    • Can be thought as a generative time series model

THE GEORGE WASHINGTON UNIVERSITY