Publications

Theses

Gerlach, A. (2014). Autonomous Path-Following by Approximate Inverse Dynamics and Vector Field Prediction, University of Cincinnati.

Gerlach, A. (2010). Performance Enhancements of the Spin-Image Pose Estimation Algorithm, University of Cincinnati.

Advised Theses

Meyers, J. (2022). Koopman Operator Approach to Uncertainty Quantification and Decision-Making, Georgia Institute of Technology.

Leonard, A. (2019). Probabilistic Methods for Decision Making in Precision Airdrop, Georgia Institute of Technology.

Journal Articles

Utkarsh, U., Churavy, V., Ma, Y., Besard, T., Srisuma, P., Gymnich, T., Gerlach, A., Edelman, A., Barbastathis, G., Braatz, R. D., & Rackauckas, C. (2024). Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms. Computer Methods in Applied Mechanics and Engineering, 419, 116591. https://doi.org/10.1016/j.cma.2023.116591

Meyers, J., Rogers, J., & Gerlach, A. (2021). Koopman Operator Method for Solution of Generalized Aggregate Data Inverse Problems. J. Comput. Phys., 428(110082), 110082. https://doi.org/10.1016/j.jcp.2020.110082

Leonard, A., Rogers, J., & Gerlach, A. (2020). Probabilistic Release Point Optimization for Airdrop with Variable Transition Altitude. Journal of Guidance, Control, And Dynamics, 43(8), 1487–1497. https://doi.org/10.2514/1.G004959

Leonard, A., Rogers, J., & Gerlach, A. (2019). Koopman Operator Approach to Airdrop Mission Planning Under Uncertainty. J. Guid. Control Dyn., 42(11), 2382–2398. https://doi.org/10.2514/1.G004277

Leonard, A., Klein, B., Jumonville, C., Rogers, J., Gerlach, A., & Doman, D. (2017). Probabilistic Algorithm for Ballistic Parachute Transition Altitude Optimization. Journal of Guidance, Control, And Dynamics, 40(12), 3037–3049. https://doi.org/10.2514/1.G002243

Gerlach, A., & Doman, D. B. (2016). Analytical Solution for Optimal Drogue-to-Main Parachute Transition Altitude for Precision Ballistic Airdrops. Journal of Guidance, Control, And Dynamics, 40(2), 439–452. https://doi.org/10.2514/1.G001824

VanderMey, J. T., Doman, D. B., & Gerlach, A. (2015). Release Point Determination and Dispersion Reduction for Ballistic Airdrops. Journal of Guidance, Control, And Dynamics, 38(11), 2227–2235. https://doi.org/10.2514/1.G001157

Conference Papers

Gerlach, A. (2024). Simultaneous Planar Path Planning and Vector Field Generation via Interpolating Implicit Surfaces. AIAA SciTech Forum.

Utkarsh, U., Churavy, V., Ma, Y., Besard, T., Srisuma, P., Gymnich, T., Gerlach, A., Edelman, A., Barbastathis, G., Braatz, R. D., & Rackauckas, C. (2023). Automated Translation and Accelerated Solving of Differential Equations on Multiple GPU Platforms. Supercomputing 23, 419, 116591. https://doi.org/10.1016/j.cma.2023.116591

Schierman, J. D., Gerlach, A., & Doman, D. B. (2023). Explicit Uncertainty Quantification for Systems with Parametric Uncertainty. AIAA SCITECH2023 Forum. https://doi.org/10.2514/6.2023-1096

Bak, S., Bogomolov, S., Duggirala, P. S., Gerlach, A., & Potomkin, K. (2021). Reachability of Black-Box Nonlinear Systems after Koopman Operator Linearization. 7th IFAC Conference on Analysis and Design of Hybrid Systems, 253–258.

Berneburg, J. A., Garcia, E., Gerlach, A., Casbeer, D., & Nowzari, C. (2020). Strongly Non-Zeno Event-Triggered Wireless Clock Synchronization. 21st IFAC World Congress, 53, 2745–2750. https://doi.org/10.1016/j.ifacol.2020.12.928

Wilhelm, J., Clem, G., Casbeer, D., & Gerlach, A. (2019). Circumnavigation and Obstacle Avoidance Guidance for UAVs Using Gradient Vector Fields. AIAA Scitech2019 Forum.

Meyers, J. J., Leonard, A. M., Rogers, J. D., & Gerlach, A. (2019). Koopman Operator Approach to Optimal Control Selection Under Uncertainty. 2019 American Control Conference (ACC), 2964–2971. https://doi.org/10.23919/ACC.2019.8814461

Rogers, J. D., Leonard, A., Jumonville, C., Gerlach, A., & Doman, D. (2017). Shaping Dispersion Patterns in Complex Dropzones Through Parachute Transition Altitude Optimization. 24th AIAA Aerodynamic Decelerator Systems Technology Conference. https://doi.org/10.2514/6.2017-3392

Leonard, A., Rogers, J. D., Gerlach, A., & Doman, D. (2017). A Probabilistic Approach to the Optimal Determination of a Computed Air Release Point. 24th AIAA Aerodynamic Decelerator Systems Technology Conference. https://doi.org/10.2514/6.2017-3223

Gerlach, A., Doman, D., Rogers, J. D., & Leonard, A. (2017). Probabilistic Airdrop Planning for Dynamic Drop Zones. 24th AIAA Aerodynamic Decelerator Systems Technology Conference. https://doi.org/10.2514/6.2017-3224

Gerlach, A., Doman, D., Henry, M., & Patel, S. (2017). Characterizing the Performance of Transition Altitude Optimization for High Altitude-Low Opening Ballistic Airdrop. 24th AIAA Aerodynamic Decelerator Systems Technology Conference. https://doi.org/10.2514/6.2017-3221

Vandermey, J. T., Doman, D. B., & Gerlach, A. (2016). Release Point Determination and Dispersion Reduction for Ballistic Airdrops. AIAASciTech Forum. https://doi.org/10.2514/6.2016-1537

Gerlach, A., & Doman, D. B. (2016). Wind Field Estimation From Airdrop Trajectory Measurements. AIAA Guidance, Navigation, And Control Conference. https://doi.org/10.2514/6.2016-1616

Gerlach, A., Manyam, S. G., & Doman, D. B. (2016). Precision Airdrop Transition Altitude Optimization via the One-in-a-Set Traveling Salesman Problem. 2016 American Control Conference (ACC), 3498–3502. https://doi.org/10.1109/ACC.2016.7525455

Gerlach, A., & Doman, D. B. (2016). Analytical Solution for Optimal Drogue-to-Main Parachute Transition Altitude for Ballistic Airdrops. AIAA Guidance, Navigation, And Control Conference. https://doi.org/10.2514/6.2016-0868

Gerlach, A., Kingston, D., & Walker, B. K. (2014). UAV Navigation Using Predictive Vector Field Control. 2014 American Control Conference, 4907–4912. https://doi.org/10.1109/ACC.2014.6859082

Gerlach, A., & Walker, B. K. (2013). Trajectory Tracking by Approximate Inverse Dynamics: IDRBF Computational Considerations. AIAA Infotech@Aerospace (I@A) Conference. https://doi.org/10.2514/6.2013-4573

Gerlach, A., & Walker, B. K. (2013). Directly Controlling the Sparsity of an Interpolation Matrix Formed by Compactly Supported RBFNs. AIAA Infotech@Aerospace (I@A) Conference. https://doi.org/10.2514/6.2013-5061

Gerlach, A., & Walker, B. K. (2013). Trajectory Tracking by Approximate Inverse Dynamics: An Introduction to the IDRBF Algorithm. Guidance, Navigation, And Control and Co-located Conferences. https://doi.org/10.2514/6.2013-4572

Gerlach, A., & Walker, B. (2012). Accelerating Robust 3D Pose Estimation Using C*-Images. 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. https://doi.org/10.2514/6.2012-602

Gerlach, A., & Walker, B. K. (2011). Accelerating Robust 3D Pose Estimation Utilizing a Graphics Processing Unit. Proc. SPIE 7878, Intelligent Robots and Computer Vision XXVIII: Algorithms and Techniques, 7878, 78780. https://doi.org/10.1117/12.876713

Netwall, C., Osborn, M., Clauss, C., & Gerlach, A. (2007). Transient Pressure Analysis and Verification Testing for the Micro-satellite Technology Experiment Upper Stage Propulsion System. 43rd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit. https://doi.org/10.2514/6.2007-5523