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optimization

2024

Towards Geometric Motion Planning for High-Dimensional Systems: Gait-Based Coordinate Optimization and Local Metrics
kinematics optimization Lie motion planning
This work extends my own contributions at the tail end of my masters thesis with some excellent novel ideas by Yanhao Yang at Oregon State University. We perform an optimization of body orientation frame for mobile systems, key for motion planning using models for dynamics like constraint curvature. However, we address the curse of dimensionality by performing optimization in the region surrounding the current motion plan, rather than for the entire configuration space.

2022

Optimal Gait Families using Lagrange Multiplier Method
kinematics dynamics control optimization
In this work, presented at IROS 2022, we generate families of optimal motion plans for biomimetic systems. These families are parametrized by a single variable, providing an intuitive control mode for systems with very complex dynamics.
Geometric Optimization Methods for Mobile Systems
kinematics dynamics control Lie optimization dimensionality reduction
This is my masters thesis, the culmination of my geometric mechanics work at Oregon State University. I explore models for locomotion based on the Lie algebra, consequences of body frame coordinate optimization, and dimensionality reduction for biomimetic mobile systems.
Characterizing Error in Noncommutative Geometric Gait Analysis
kinematics dynamics Lie optimization
In this work, presented at ICRA 2022, we demonstrate the role of body-frame coordinate optimization in reducing error when using simplified models for system dynamics. This was my first conference paper.
3D Rotational Coordinate Optimization
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kinematics dynamics Lie optimization matlab
As part of an extended project, we were interested in producing highly dynamic legged locomotion (think running, jumping) on Agility Robotics’ Cassie. My role in this project built on some previous work by my advisor, Prof. Ross L. Hatton, to optimally choose stable body frame coordinates for this robot.