6 papers
LieIPM: Lie Group Interior Point Method for Direct Trajectory Optimization of Rigid Bodies
Sangli Teng, Ruiqi Zhang, Tzu-Yuan Lin +5
Designing dynamically feasible trajectories for rigid bodies is a fundamental problem in robotics. While direct methods are widely used, the existing constrained optimizers typical…
A Survey of Legged Robotics in Non-Inertial Environments: Past, Present, and Future
I-Chia Chang, Xinyan Huang, Tzu-Yuan Lin +5
Legged robots have demonstrated remarkable agility on rigid, stationary ground, but their locomotion reliability remains limited in non-inertial environments, where the supporting…
Equivariant Neural Networks for General Linear Symmetries on Lie Algebras
Chankyo Kim, Sicheng Zhao, Minghan Zhu +2
Many scientific and geometric problems exhibit general linear symmetries, yet most equivariant neural networks are built for compact groups or simple vector features, limiting thei…
Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups
Sangli Teng, Tzu-Yuan Lin, William A Clark +2
Designing dynamically feasible trajectories for rigid bodies is a fundamental problem in robotics. Although direct trajectory optimization is widely applied to solve this problem,…
Debiasing 6-DOF IMU via Hierarchical Learning of Continuous Bias Dynamics
Ben Liu, Tzu-Yuan Lin, Wei Zhang +1
This paper develops a deep learning approach to the online debiasing of IMU gyroscopes and accelerometers. Most existing methods rely on implicitly learning a bias term to compensa…
Tensegrity Robot Proprioceptive State Estimation with Geometric Constraints
Wenzhe Tong, Tzu-Yuan Lin, Jonathan Mi +3
Tensegrity robots, characterized by a synergistic assembly of rigid rods and elastic cables, form robust structures that are resistant to impacts. However, this design introduces c…