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The design of navigation observers able to simultaneously estimate the position, linear velocity and orientation of a vehicle in a three-dimensional space is crucial in many robotics and aerospace applications. This problem was mainly dealt…

Optimization and Control · Mathematics 2020-09-21 Miaomiao Wang , Abdelhamid Tayebi

This work introduces a learning-enhanced observer (LEO) for linear time-invariant systems with uncertain dynamics. Rather than relying solely on nominal models, the proposed framework treats the system matrices as optimizable variables and…

Machine Learning · Computer Science 2025-11-21 Hao Shu

We propose a novel flexible-step model predictive control algorithm for unknown linear time-invariant discrete-time systems. The goal is to asymptotically stabilize the system without relying on a pre-collected dataset that describes its…

Optimization and Control · Mathematics 2025-10-02 Markus Pietschner , Christian Ebenbauer , Bahman Gharesifard , Raik Suttner

Friction is a complex phenomenon that is of paramount importance in everyday life. We present an easy-to-build and inexpensive experiment illustrating Coulomb's law of kinetic friction. The so-called friction, or Timoshenko, oscillator…

Many real-life dynamical systems change abruptly followed by almost stationary periods. In this paper, we consider streams of data with such abrupt behavior and investigate the problem of tracking their statistical properties in an online…

Methodology · Statistics 2019-01-16 Hugo Lewi Hammer , Anis Yazidi

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, the mass may then periodically sticks to the ground. The…

Optimization and Control · Mathematics 2021-03-09 Matthieu Barreau , Sophie Tarbouriech , Frederic Gouaisbaut

Motivated by a possible convergence of terrestrial limbless locomotion strategies ultimately determined by interfacial effects, we show how both 3D gait alterations and locomotory adaptations to heterogeneous terrains can be understood…

Biological Physics · Physics 2021-11-17 Xiaotian Zhang , Noel Naughton , Tejaswin Parthasarathy , Mattia Gazzola

This work proposes a detectability condition for linear time-varying systems based on the exponential dichotomy spectrum. The condition guarantees the existence of an observer, whose gain is determined only by the unstable modes of the…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Markus Tranninger , Richard Seeber , Martin Steinberger , Martin Horn , Christian Pötzsche

This paper provides a comprehensive framework for designing functional observers for linear systems subject to delayed output measurements. Moving beyond traditional methodologies, the proposed observer generates an estimate $\hat{z}(t)$…

Systems and Control · Electrical Eng. & Systems 2026-04-21 H. Trinh , P. T. Nam , T. N. Nguyen

The vortex-induced vibration of multiple spring-mounted bodies free to move in the orthogonal direction of the flow is investigated. In a first step, we derive a Linear Arbitrary Lagrangian Eulerian (L-ALE) method to solve the…

Fluid Dynamics · Physics 2026-03-02 Théo Mouyen , Javier Sierra , David Fabre , Flavio Giannetti

This paper develops a Finsler-based LMI for robust $\mathcal{H}_\infty$ observer design with integral quadratic constraints (IQCs) and block-structured uncertainty. By introducing a slack variable that relaxes the coupling between the…

Optimization and Control · Mathematics 2026-04-13 Raktim Bhattacharya , Felix Biertümpfel

The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale…

Soft Condensed Matter · Physics 2019-02-05 Hao Wang , Lei Chen

This paper deals with the problem of full state estimation for vehicles navigating in a three dimensional space. We assume that the vehicle is equipped with an Inertial Measurement Unit (IMU) providing body-frame measurements of the angular…

Optimization and Control · Mathematics 2021-02-01 Soulaimane Berkane , Abdelhamid Tayebi , Simone de Marco

In this paper, we investigate the attitude tracking problem of uncertain flexible spacecraft systems subject to external disturbances. In sharp contrast to existing results, the dynamics of flexible spacecraft systems and external…

Optimization and Control · Mathematics 2024-03-20 Zean Bao , Maobin Lu , Fang Deng , Jie Chen

Difference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization…

Chaotic Dynamics · Physics 2007-05-23 Jens Christian Claussen , Thorsten Mausbach , Alexander Piel , Heinz Georg Schuster

Leader-follower tracking control design has received significant attention in recent years due to its important and wide applications. Considering a multi-agent system composed of a leader and multiple followers, this paper proposes and…

Systems and Control · Computer Science 2019-04-02 Chuan Yan , Huazhen Fang

An important performance metric for series-elastic actuators is the range of impedance which they can safely render. Advanced torque control, using techniques such as the disturbance observer, improve torque tracking bandwidth and accuracy,…

Robotics · Computer Science 2019-12-04 Kevin Haninger , Abner Asignacion , Sehoon Oh

Growing demands in the semiconductor industry necessitate increasingly stringent requirements on throughput and positioning accuracy of lithographic equipment. Meeting these demands involves employing highly aggressive motion profiles,…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Yorick Broens , Hans Butler , Ramidin Kamidi , Koen Verkerk , Siep Weiland

This paper presents a new approach to accurately simulating 3D overhead cranes with friction. Although nonlinear friction dynamics has a significant impact on these systems, accurately modeling this phenomenon in simulations is a…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Jorge Vicente-Martinez , Edgar Ramirez-Laboreo