Publications associées à Équation différentielle autonome

Inference methods for the study of interacting biological oscillators in single-cells

Biological oscillators are pervasive in biology, covering all aspects of life from enzyme kinetics reactions to population dynamics. Although their behaviour has been intensively studied in the last decades, the recent advances of high-throughput experimen ...

EPFL2020

Compliant control of Uni/ Multi- robotic arms with dynamical systems

Seyed Sina Mirrazavi Salehian

Accomplishment of many interactive tasks hinges on the compliance of humans. Humans demonstrate an impressive capability of complying their behavior and more particularly their motions with the environment in everyday life. In humans, compliance emerges fr ...

EPFL2018

A Dynamical System Based Approach for Controlling Robotic Manipulators During Non-contact/Contact Transitions

Aude Billard, Seyed Sina Mirrazavi Salehian

Many daily life tasks require precise control when making contact with surfaces. Ensuring a smooth transition from free motion to contact is crucial as incurring a large impact force may lead to unstable contact with the robot bouncing on the surface, i.e. ...

2018

Incremental motion learning with locally modulated dynamical systems

Aude Billard, Klas Jonas Alfred Kronander

Dynamical Systems (DS) for robot motion modeling are a promising approach for efficient robot learning and control. Our focus in this paper is on autonomous dynamical systems, which represent a motion plan without dependency on time. We develop a method th ...

Elsevier2015

Control and Learning of Compliant Manipulation Skills

Klas Jonas Alfred Kronander

Humans demonstrate an impressive capability to manipulate fragile objects without damaging them, graciously controlling the force and position of hands or tools. Traditionally, robotics has favored position control over force control to produce fast, accur ...

EPFL2015

Learning control Lyapunov function to ensure stability of dynamical system-based robot reaching motions

Aude Billard, Seyed Mohammad Khansari Zadeh

We consider an imitation learning approach to model robot point-to-point (also known as discrete or reaching) movements with a set of autonomous Dynamical Systems (DS). Each DS model codes a behavior (such as reaching for a cup and swinging a golf club) at ...

Elsevier2014

Learning Reach-to-Grasp Motions From Human Demonstrations

Ashwini Shukla

Reaching over to grasp an item is arguably the most commonly used motor skill by humans. Even under sudden perturbations, humans seem to react rapidly and adapt their motion to guarantee success. Despite the apparent ease and frequency with which we use th ...

EPFL2014

Learning to play minigolf: A dynamical system-based approach

Aude Billard, Seyed Mohammad Khansari Zadeh, Klas Jonas Alfred Kronander

A current trend in robotics is to define robot motions so that they can be easily adopted to situations beyond those for which the motion was originally designed. In this work, we show how the challenging task of playing minigolf can be efficiently tackled ...

Taylor & Francis Ltd2012

BM: An Iterative Method to Learn Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Aude Billard, Seyed Mohammad Khansari Zadeh

We model the dynamics of non-linear discrete (i.e. point-to- point) robot motions as a time-independent system described by an autonomous dynamical system (DS). We propose an iterative algorithm to estimate the form of the DS through a mixture of Gaussian ...

2010

Learning Motion Dynamics to Catch a Moving Object

Aude Billard, Elena Gribovskaya, Seungsu Kim

In this paper, we consider a novel approach to control the timing of motions when these are encoded with autonomous dynamical systems (DS). Accurate timing of motion is crucial if a robot must synchronize its movement with that of a fast moving object. In ...

2010