aiqbench analysis
This tutorial advances data-driven control theory for manipulating deformable objects, focusing on Jacobian estimation and stability analysis within robotics systems. It provides critical technical insights into controllability limits and failure modes that are essential for developing next-generation soft robotics and complex manipulation algorithms. The work represents a significant contribution to the intersection of machine learning and advanced robotic control rather than general consumer tech or hardware infrastructure.
A Tutorial on Shape Servoing of Deformable Objects-Part II: Advanced Concepts
arXiv:2611.03825v1 Announce Type: new Abstract: In robotics, shape control, or shape servoing, refers to the automatic manipulation of a deformable object toward a desired shape. This article is the second of a two-part tutorial on data-driven, Jacobian-based shape control, in which the deformation Jacobian, a local model of how robot motion changes the measured shape, is estimated from measurements. Part I built the shape-servoing loop and derived a local stability condition. This paper starts by using the singular value decomposition of the deformation Jacobian to identify shape changes that can be produced by small robot motions, those that require large robot motions, and those that are locally unavailable. It then analyses how the choice of shape features determines how the controller regulates the object's shape and, therefore, how much the object deforms on its way to the target. It then describes three ways in which the shape control loop can fail: loss of controllability, loss of observability, and occurrence of mechanical instabilities. It closes with shape-control extensions to time-varying targets, secondary tasks, and three-dimensional objects.
Abstract:In robotics, shape control, or shape servoing, refers to the automatic manipulation of a deformable object toward a desired shape. This article is the second of a two-part tutorial on data-driven, Jacobian-based shape control, in which the deformation Jacobian, a local model of how robot motion changes the measured shape, is estimated from measurements. Part I built the shape-servoing loop and derived a local stability condition. This paper starts by using the singular value decomposition of the deformation Jacobian to identify shape changes that can be produced by small robot motions, those that require large robot motions, and those that are locally unavailable. It then analyses how the choice of shape features determines how the controller regulates the object's shape and, therefore, how much the object deforms on its way to the target. It then describes three ways in which the shape control loop can fail: loss of controllability, loss of observability, and occurrence of mechanical instabilities. It closes with shape-control extensions to time-varying targets, secondary tasks, and three-dimensional objects.
Part II of a two-part tutorial. 10 pages, 9 figures. Code: this https URL. Interactive demos: this https URL
Robotics (cs.RO); Systems and Control (eess.SY)
arXiv:2611.03825 [cs.RO]
(or arXiv:2611.03825v1 [cs.RO] for this version)
https://doi.org/10.48550/arXiv.2611.03825 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.
Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.
Full text under the publisher's open licence · 286 words