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20212023
most citedEfficient Analytical Derivatives of Rigid-Body Dynamics using Spatial Vector Algebra

27 citations · 27 across the 6 of their papers we have counts for

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6 papers

cs.RO2023

Multi-Shooting Differential Dynamic Programming for Hybrid Systems using Analytical Derivatives

Shubham Singh, Ryan P. Russell, Patrick M. Wensing

Differential Dynamic Programming (DDP) is a popular technique used to generate motion for dynamic-legged robots in the recent past. However, in most cases, only the first-order par…

cs.RO2023

On Second-Order Derivatives of Rigid-Body Dynamics: Theory & Implementation

Shubham Singh, Ryan P. Russell, Patrick M. Wensing

Model-based control for robots has increasingly been dependent on optimization-based methods like Differential Dynamic Programming and iterative LQR (iLQR). These methods can form…

cs.RO2022

Analytical Second-Order Partial Derivatives of Rigid-Body Inverse Dynamics

Shubham Singh, Ryan P. Russell, Patrick M. Wensing

Optimization-based robot control strategies often rely on first-order dynamics approximation methods, as in iLQR. Using second-order approximations of the dynamics is expensive due…

cs.RO2022

Details of Second-Order Partial Derivatives of Rigid-Body Inverse Dynamics

Shubham Singh, Ryan P. Russell, Patrick M. Wensing

The details of second-order partial derivatives of rigid-body Inverse/Forward dynamics are provided. Several properties and identities using Spatial Vector Algebra are listed, alon…

math.OC2021

A New Robust Network Slack Based Measure Model

Alka Arya, Shubham Singh

In real-life challenges, unforeseen and unknown occurrences commonly influence the data values, which may affect the performance of the problems. The performance of decision-making…

cs.RO2021★ 27 cited

Efficient Analytical Derivatives of Rigid-Body Dynamics using Spatial Vector Algebra

Shubham Singh, Ryan P. Russell, Patrick M. Wensing

An essential need for many model-based robot control algorithms is the ability to quickly and accurately compute partial derivatives of the equations of motion. State of the art ap…