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A state observer design for the inertia wheel pendulum considering static friction of the actuated inertia disc is presented. The frictional force is modeled by the Stribeck effect, with two separate differential equations describing the…

Optimization and Control · Mathematics 2024-04-04 L. Ecker , K. Schlacher , M. Schöberl

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

Statistical Mechanics · Physics 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

This paper revisits the previously proposed linear asymptotic observer of the motion state variables with nonlinear friction and provides a robust design suitable for both, transient presliding and steady-state sliding phases of the…

Systems and Control · Electrical Eng. & Systems 2023-05-26 Michael Ruderman

We study dynamics of the inverted pendulum on the wheel on a soft surface and under a proportional-integral-derivative controller. The behaviour of such pendulum is modelled by a system with a differential inclusion. If the the system has a…

Systems and Control · Electrical Eng. & Systems 2020-06-12 O. M. Kiselev

This paper proposes a friction model parameter identification routine that can work with highly nonlinear and chaotic systems. The chosen system for this study is a passively-actuated tilted Furuta pendulum, which is known to have a highly…

Systems and Control · Electrical Eng. & Systems 2022-04-07 Ali Wadi , Shayok Mukhopadhyay , Lotfi Romdhane

The purpose of this paper is to illustrate, in an experimental facility consisting of a simple pendular device, the performance of a sliding mode adaptive position-feedback tracking controller of mechanical systems with friction reported in…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Luis Cervantes-Pérez , Víctor Santibáñez , Jesús Sandoval , Romeo Ortega , Jose Guadalupe Romero

The nature of an instability that controls the transition from static to dynamical friction is studied in the the context of an array of frictional disks that are pressed from above on a substrate. In this case the forces are all explicit…

Statistical Mechanics · Physics 2020-01-29 Harish Charan , Joyjit Chattoraj , Massimo Pica Ciamarra , Itamar Procaccia

In this contribution, typical friction driven structures are summarized and presented considering the mechanical structures and operation principles of different types of piezoelectric motors. A two degree-of-freedom dynamic model with one…

Chaotic Dynamics · Physics 2017-04-05 Weiting Liu , Maoying Zhou , Xiaodong Ruan , Xin Fu

We apply an operator-theoretic viewpoint to a class of non-smooth dynamical systems that are exposed to event-triggered state resets. The considered benchmark problem is that of a pendulum which receives a downward kick under certain fixed…

Dynamical Systems · Mathematics 2016-09-01 Nithin Govindarajan , Hassan Arbabi , Louis van Blargian , Timothy Matchen , Emma Tegling , Igor Mezić

A physical pendulum with variable point of suspension (and, as an outcome, variable inertia moment) is experimentally analysed. In particular, the period of the small oscillations as a function of position of the suspension point is…

Physics Education · Physics 2019-10-02 Martin Monteiro , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

This paper derives for non-linear, time-varying and feedback linearizable systems simple controller designs to achieve specified state-and timedependent complex convergence rates. This approach can be regarded as a general gain-scheduling…

Chaotic Dynamics · Physics 2010-04-20 Winfried Lohmiller , Jean-Jacques E. Slotine

We study the effect of viscoelastic dynamics on the frictional properties of a (mean field) spring-block system pulled on a rough surface by an external drive. When the drive moves at constant velocity V, two dynamical regimes are observed:…

Statistical Mechanics · Physics 2015-08-17 Francois P. Landes , Alberto Rosso , E. A. Jagla

In this thesis, a non-penetrated and physically consistent non-smooth numerical approach has been proposed, by employing the Prox formulation and Moreau's mid-point time-stepping rule, for the contact dynamics with coupled and decoupled…

Systems and Control · Computer Science 2015-02-18 Hantian Zhang

We study the motion of elastic networks driven over a random substrate. Our model which includes local friction forces leads to complex dynamical behavior. We find a transition to a sliding state which belongs to a new universality class.…

Statistical Mechanics · Physics 2015-06-25 Itzhak Webman , Jose Luis Gruver , Shlomo Havlin

In order to provide robust, reliable, and accurate position and velocity control of motor drives, friction compensation has emerged as a key difficulty. Non-characterised friction could give rise to large position errors and vibrations…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Nimantha Dasanayake , Shehara Perera

The tribology between surfaces can have a profound impact on the response of a mechanical system, such as how granular particles are driven to flow. In this work, we perform experiments that time-resolve the tangential and normal components…

Soft Condensed Matter · Physics 2023-11-13 Cheng-En Tsai , Jih-Chiang Tsai

The internal state of a dynamical system, a set of variables that defines its evolving configuration, is often hidden and cannot be fully measured, posing a central challenge for real-time monitoring and control. While observers are…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Yuan Zhang , Ziyuan Luo , Wenxuan Xu , Jiayu Wu , Wenqi Cao , Ranbo Cheng , Tingting Qin , Yuanqing Xia , Mohamed Darouach , Aming Li , Tyrone Fernando

All physical laws are described as relationships between state variables that give a complete and non-redundant description of the relevant system dynamics. However, despite the prevalence of computing power and AI, the process of…

Dynamical Systems · Mathematics 2021-12-21 Boyuan Chen , Kuang Huang , Sunand Raghupathi , Ishaan Chandratreya , Qiang Du , Hod Lipson

The current development of today's production industry towards seamless sensor-based monitoring is paving the way for concepts such as Predictive Maintenance. By this means, the condition of plants and products in future production lines…

Machine Learning · Computer Science 2021-08-22 Jan Zenisek , Gabriel Kronberger , Josef Wolfartsberger , Norbert Wild , Michael Affenzeller

The transitions between two states of a bistable system are investigated experimentally and analyzed in the framework of rare-event statistics. Considering a disk pendulum swept by a flow in a wind tunnel, bistability between two…

Fluid Dynamics · Physics 2021-03-17 Ariane Gayout , Mickaël Bourgoin , Nicolas Plihon
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