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This paper presents a generic motion model to capture mobile robots' dynamic behaviors (translation and rotation). The model is based on statistical models driven by white random processes and is formulated into a full state estimation…

Robotics · Computer Science 2020-10-14 Wei Xu , Dongjiao He , Yixi Cai , Fu Zhang

In spite of recent progress, soft robotics still suffers from a lack of unified modeling framework. Nowadays, the most adopted model for the design and control of soft robots is the piece-wise constant curvature model, with its consolidated…

Robotics · Computer Science 2018-10-25 Federico Renda , Frederic Boyer , Jorge Dias , Lakmal Seneviratne

Dynamic control of soft continuum robots (SCRs) holds great potential for expanding their applications, but remains a challenging problem due to the high computational demands of accurate dynamic models. While data-driven approaches like…

Robotics · Computer Science 2026-01-16 Johann Licher , Max Bartholdt , Henrik Krauss , Tim-Lukas Habich , Thomas Seel , Moritz Schappler

Accurate, efficient, and robust state estimation is more important than ever in robotics as the variety of platforms and complexity of tasks continue to grow. Historically, discrete-time filters and smoothers have been the dominant…

This paper presents a novel Luenberger-style observer for robot manipulators with position measurements. Under the assumption that the state evolutions that are to be observed have bounded velocities, it is shown that the origin of the…

Optimization and Control · Mathematics 2007-05-23 Fabio Celani

For soft robots to work effectively in human-centered environments, they need to be able to estimate their state and external interactions based on (proprioceptive) sensors. Estimating disturbances allows a soft robot to perform desirable…

Continuum soft robots, composed of flexible materials, exhibit theoretically infinite degrees of freedom, enabling notable adaptability in unstructured environments. Cosserat Rod Theory has emerged as a prominent framework for modeling…

Robotics · Computer Science 2026-05-15 Daniele Caradonna , Diego Bianchi , Franco Angelini , Egidio Falotico

For robots with low rigidity, determining the robot's state based solely on kinematics is challenging. This is particularly crucial for a robot whose entire body is in contact with the environment, as accurate state estimation is essential…

Robotics · Computer Science 2024-10-22 Kengo Iwao , Hikaru Arita , Kenji Tahara

Obtaining dynamic models of continuum soft robots is central to the analysis and control of soft robots, and researchers have devoted much attention to the challenge of proposing both data-driven and first-principle solutions. Both avenues…

Robotics · Computer Science 2025-02-21 Ricardo Valadas , Maximilian Stölzle , Jingyue Liu , Cosimo Della Santina

We propose reaching steps towards the real-time strain control of multiphysics, multiscale continuum soft robots. To study this problem fundamentally, we ground ourselves in a model-based control setting enabled by mathematically precise…

Systems and Control · Electrical Eng. & Systems 2025-05-09 Lekan Molu

State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

In this paper, we design feedback control laws for soft robots modelled using the Cosserat rod, which is spatially discretised using the Piecewise Constant Strain (PCS) approach. The PCS approach transforms the nonlinear PDEs describing the…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Srishti Siddharth

In this paper, we study integrated estimation and control of soft robots. A significant challenge in deploying closed loop controllers is reliable proprioception via integrated sensing in soft robots. Despite the considerable advances…

Robotics · Computer Science 2020-11-18 Lasitha Weerakoon , Zepeng Ye , Rahul Subramonian Bama , Elisabeth Smela , Miao Yu , Nikhil Chopra

This extended abstract introduces a novel method for continuous state estimation of continuum robots. We formulate the estimation problem as a factor-graph optimization problem using a novel Gaussian-process prior that is parameterized over…

Robotics · Computer Science 2024-09-20 Spencer Teetaert , Sven Lilge , Jessica Burgner-Kahrs , Timothy D. Barfoot

Locomotion robots with active or passive compliance can show robustness to uncertain scenarios, which can be promising for agricultural, research and environmental industries. However, state estimation for these robots is challenging due to…

Robotics · Computer Science 2025-10-02 Valentin Yuryev , Max Polzin , Josie Hughes

The precise control of soft and continuum robots requires knowledge of their shape, which has, in contrast to classical rigid robots, infinite degrees of freedom. To partially reconstruct the shape, proprioceptive techniques use built-in…

Inspired by the embodied intelligence of biological creatures like the octopus, the soft robotic arm utilizes its highly flexible structure to perform various tasks in the complex environment. While the classic Cosserat rod theory…

Robotics · Computer Science 2026-01-30 Yuchen Sun , Anup Teejo Mathew , Imran Afgan , Federico Renda , Cecilia Laschi

Tensegrity robots are a class of compliant robots that have many desirable traits when designing mass efficient systems that must interact with uncertain environments. Various promising control approaches have been proposed for tensegrity…

Robotics · Computer Science 2016-11-17 Ken Caluwaerts , Jonathan Bruce , Jeffrey M. Friesen , Vytas SunSpiral

A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for…

Systems and Control · Computer Science 2017-11-23 Ian R. Manchester

This paper presents a state-estimation solution for legged robots that uses a set of low-cost, compact, and lightweight sensors to achieve low-drift pose and velocity estimation under challenging locomotion conditions. The key idea is to…

Robotics · Computer Science 2025-07-23 Shuo Yang , Zixin Zhang , John Z. Zhang , Ibrahima Sory Sow , Zachary Manchester