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We develop a backstepping control design for a class of continuum systems of linear hyperbolic PDEs, described by a coupled system of an ensemble of rightward transporting PDEs and a (finite) system of $m$ leftward transporting PDEs. The…

Optimization and Control · Mathematics 2024-10-30 Jukka-Pekka Humaloja , Nikolaos Bekiaris-Liberis

An experimental method has been developed to locate unstable equilibria of nonlinear structures quasi-statically. The technique involves loading a structure by application of either a force or a displacement at a main actuation point, while…

Applied Physics · Physics 2018-06-27 R. M. Neville , R. M. J. Groh , A. Pirrera , M. Schenk

In this work we seek for an approach to integrate safety in the learning process that relies on a partly known state-space model of the system and regards the unknown dynamics as an additive bounded disturbance. We introduce a framework for…

Machine Learning · Computer Science 2018-11-12 Stanislav Fedorov , Antonio Candelieri

Stationary balance control is challenging for single-track two-wheeled (STTW) robots due to the lack of elegant balancing mechanisms and the conflict between the limited attraction domain and external disturbances. To address the absence of…

Robotics · Computer Science 2024-11-08 Boyi Wang , Yang Deng , Feilong Jing , Yiyong Sun , Zhang Chen , Bin Liang

Dynamical compensation (DC) provides robustness to parameter fluctuations. As an example, DC enable control of the functional mass of endocrine or neuronal tissue essential for controlling blood glucose by insulin through a nonlinear…

Systems and Control · Electrical Eng. & Systems 2024-06-04 Akram Ashyani , Yu-Heng Wu , Huan-Wei Hsu , Torbjörn E. M. Nordling

Stable aerial manipulation during dynamic tasks such as object catching, perching, or contact with rigid surfaces necessarily requires compliant behavior, which is often achieved via impedance control. Successful manipulation depends on how…

Systems and Control · Electrical Eng. & Systems 2025-04-04 Amitabh Sharma , Saksham Gupta , Shivansh Pratap Singh , Rishabh Dev Yadav , Hongyu Song , Wei Pan , Spandan Roy , Simone Baldi

Achieving stable and robust perceptive locomotion for bipedal robots in unstructured outdoor environments remains a critical challenge due to complex terrain geometry and susceptibility to external disturbances. In this work, we propose a…

Robotics · Computer Science 2025-10-21 Haokai Su , Haoxiang Luo , Shunpeng Yang , Kaiwen Jiang , Wei Zhang , Hua Chen

We consider a classical spring-mass model of human running which is built upon an inverted elastic pendulum. Based on our previous results concerning asymptotic solutions for large spring constant (or small angle of attack), we construct…

Dynamical Systems · Mathematics 2021-05-18 Zofia Wróblewska , Piotr Kowalczyk , Łukasz Płociniczak

The paper shows sufficiency conditions for stability of continuous periodic orbits under phase uncertainty. Phase based uncertainty is a trait of bipedal walking robots, where the desired trajectories are parameterized by a monotonous…

Dynamical Systems · Mathematics 2018-10-04 Shishir Nadubettu Yadukumar Kolathaya

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

The construction of feedback-like control fields for a kinetic model in phase space is investigated. The purpose of these controls is to drive an initial density of particles in the phase space to reach a desired cyclic trajectory and…

Optimization and Control · Mathematics 2024-02-13 Jan Bartsch , Alfio Borzi

This paper provides a constructive passivity-based control approach to solve the set-point regulation problem for input-affine continuous nonlinear systems while considering saturation in the inputs. As customarily in passivity-based…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Pablo Borja , Carmen Chan-Zheng , Jacquelien M. A. Scherpen

This paper presents a novel approach for robust periodic attitude control of satellites. Respecting the periodicity of the satellite dynamics in the synthesis allows to achieve constant performance and robustness requirements over the…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Frederik Thiele , Felix Biertümpfel , Harald Pfifer

The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors,…

Current prosthesis control methods are primarily model-independent - lacking formal guarantees of stability, relying largely on heuristic tuning parameters for good performance, and neglecting use of the natural dynamics of the system.…

Systems and Control · Electrical Eng. & Systems 2020-11-12 Rachel Gehlhar , Aaron D. Ames

Shared Control methods often use impedance control to track target poses in a robotic manipulator. The guidance behavior of such controllers is shaped by the used stiffness gains, which can be varying over time to achieve an adaptive…

With the rapid development of Aerial Physical Interaction, the possibility to have aerial robots physically interacting with humans is attracting a growing interest. In one of our previous works, we considered one of the first systems in…

Robotics · Computer Science 2022-03-08 Mike Allenspach , Yash Vyas , Matthias Rubio , Roland Siegwart , Marco Tognon

Humanoid robots have the potential capability to perform a diverse range of manipulation tasks, but this is based on a robust and precise standing controller. Existing methods are either ill-suited to precisely control high-dimensional…

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

The controllability problem for nonlinear control systems with one-dimensional control of the form $ dx/dt=a(x)+B(x)\beta(x,u)$ is considered, where $a(x)$ is an $n$-dimensional vector function, $B(x)$ is an $(n\times m)$-matrix, and…

Optimization and Control · Mathematics 2013-10-14 V. I. Korobov , K. V. Sklyar , V. O. Skoryk