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An indirect data-driven state observer design approach for the inertia wheel pendulum considering static friction of the actuated inertia disc is presented. The frictional forces occurring in a real laboratory setup are characterized by the…

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

This paper presents a research devoted to the study of instability phenomena in non-linear model with a constant brake friction coefficient. This paper outlines the stability analysis and a procedure to reduce and simplify the non-linear…

Chaotic Dynamics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez , Louis Jezequel

This paper proposes a novel fault detection and isolation (FDI) scheme for distributed parameter systems modeled by a class of parabolic partial differential equations (PDEs) with nonlinear uncertain dynamics. A key feature of the proposed…

Systems and Control · Electrical Eng. & Systems 2022-03-31 Jingting Zhang , Chengzhi Yuan , Wei Zeng , Cong Wang

This research presents a dynamic modeling framework and parameter identification methods for describing the highly nonlinear behaviors of flexibly connected dual-AUV systems. The modeling framework is established based on the lumped mass…

Robotics · Computer Science 2026-02-09 Kuo Chen , Minghao Dou , Qianqi Liu , Yang An , Kai Ren , Zeming WU , Yu Tian , Jie Sun , Xinping Wang , Zhier Chen , Jiancheng Yu

In this paper we aim to apply an adaptation of the recently developed technique of sparse identification of nonlinear dynamical systems on a Duffing experimental setup with cubic feedback of the output. The Duffing oscillator described by…

Classical Physics · Physics 2018-05-10 Saeideh Khatiry Goharoodi , Kevin Dekemele , Luc Dupre , Mia Loccufier , Guillaume Crevecoeur

In this work, we show that a recently proposed method for experimental nonlinear modal analysis based on the extended periodic motion concept is well suited to extract modal properties for strongly nonlinear systems (i.e. in the presence of…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Tobias Weigele , Malte Krack

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang

This paper presents the control and stabilization of the rotary inverted pendulum based on a general controller scheme. The proposed scheme has its foundation in classical control theory, and the importance of an integrator in disturbance…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Justin Jacob , Navin Khaneja

Variational system identification is a new formulation of maximum likelihood for estimation of parameters of dynamical systems subject to process and measurement noise, such as aircraft flying in turbulence. This formulation is an…

Applications · Statistics 2025-10-31 Dimas Abreu Archanjo Dutra

We present a new method for learning control law that stabilizes an unknown nonlinear dynamical system at an equilibrium point. We formulate a system identification task in a self-supervised learning setting that jointly learns a controller…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Priyabrata Saha , Magnus Egerstedt , Saibal Mukhopadhyay

This paper develops a smooth model identification and self-learning strategy for dynamic systems taking into account possible parameter variations and uncertainties. We have tried to solve the problem such that the model follows the changes…

Systems and Control · Electrical Eng. & Systems 2025-01-07 Ebrahim Navid Sadjadi , Jesus Garcia , Jose M. Molina , Akbar Hashemi Borzabadi , Monireh Asadi Abchouyeh

In this paper, we propose a novel framework for disturbance rejection in a class of nonautonomous nonlinear systems affected by trigonometric-polynomial disturbances. The core of our approach is the design of a canonical internal model that…

Optimization and Control · Mathematics 2026-01-15 Changran He , Jie Huang

We introduce a Bayesian system identification (SysID) framework for jointly estimating robot's state trajectories and physical parameters with high accuracy. It embeds physically consistent inverse dynamics, contact and loop-closure…

Robotics · Computer Science 2026-02-19 Sergi Martinez , Steve Tonneau , Carlos Mastalli

We present a differentiable dynamics solver that is able to handle frictional contact for rigid and deformable objects within a unified framework. Through a principled mollification of normal and tangential contact forces, our method…

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 propose a general framework for parameter-free identification of a class of dynamical systems. Here, the propagator is approximated in terms of an arbitrary function of the state, in contrast to a polynomial or Galerkin expansion used in…

Dynamical Systems · Mathematics 2015-06-11 Bartosz Protas , Bernd R. Noack , Marek Morzynski

This paper presents an adaptive observer design for semilinear hyperbolic rolling contact ODE-PDE systems with uncertain friction characteristics parameterized by a matrix of unknown coefficients appearing in the nonlinear (and possibly…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Luigi Romano , Ole Morten Aamo , Miroslav Krstić , Jan Åslund , Erik Frisk

Nonlinear friction has long been, and continues to be, one of the major challenges for precision motion control systems. A linear asymptotic observer of the motion state variables with nonlinear friction uses a dedicated state-space…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Michael Ruderman

Neural networks have demonstrated remarkable success in modeling nonlinear dynamical systems. However, identifying these systems from closed-loop experimental data remains a challenge due to the correlations induced by the feedback loop.…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Mahrokh G. Boroujeni , Laura Meroi , Leonardo Massai , Clara L. Galimberti , Giancarlo Ferrari-Trecate

Obtaining dynamics models is essential for robotics to achieve accurate model-based controllers and simulators for planning. The dynamics models are typically obtained using model specification of the manufacturer or simple numerical…

Robotics · Computer Science 2021-10-26 Michael Lutter , Johannes Silberbauer , Joe Watson , Jan Peters