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In this chapter, the mathematical analysis of the minimum jerk trajectory (MJT) generation is performed. In this study, the position and the velocity of the minimum jerk trajectory as a function of time is presented in two cases: the first…

Robotics · Computer Science 2021-02-16 Abdel-Nasser Sharkawy

An efficient approach to compute near time-optimal trajectories for linear kinematic systems with oscillatory internal dynamics is presented. Thereby, kinematic constraints with respect to velocity, acceleration and jerk are taken into…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Thomas Auer , Frank Woittennek

The Minimum Jerk motion model has long been cited in literature for human point-to-point reaching motions in single-person tasks. While it has been demonstrated that applying minimum-jerk-like trajectories to robot reaching motions in the…

Robotics · Computer Science 2021-08-31 Wesley P. Chan , Tin Tran , Sara Sheikholeslami , Elizabeth Croft

Beyond providing accurate movements, achieving smooth motion trajectories is a long-standing goal of robotics control theory for arms aiming to replicate natural human movements. Drawing inspiration from biological agents, whose reaching…

Robotics · Computer Science 2023-03-09 Ioannis Polykretis , Lazar Supic , Andreea Danielescu

Small continuous sensory and mechanical perturbations have often been used to identify properties of the closed-loop neural control of posture and other systems that are approximately linear time invariant. Here we extend this approach to…

Neurons and Cognition · Quantitative Biology 2016-10-31 Tim Kiemel , David Logan , John J. Jeka

Motor control is a fundamental process that underlies all voluntary behavioral responses. Several different theories based on different principles (task dynamics, equilibrium-point theory, passive-motion paradigm, active inference, optimal…

Neurons and Cognition · Quantitative Biology 2021-07-20 Emmanuel Guigon

Background The development of a simulation model of full body reaching tasks that can predict endeffector trajectories and joint excursions consistent with experimental data is a non-trivial task. Because of the kinematic redundancy…

Systems and Control · Computer Science 2011-08-10 Daohang Sha , James S Thomas

This article explores human-like movement from a fresh perspective on motion planning. We analyze the coordinated and compliant movement mechanisms of the human body from the perspective of biomechanics. Based on these mechanisms, we…

Robotics · Computer Science 2024-10-22 Lei Shi , Qichao Liu , Cheng Zhou , Wentao Gao , Haotian Wu , Yu Zheng , Xiong Li

When applying methods of optimal control to motion planning or stabilization problems, some theoretical or numerical difficulties may arise, due to the presence of specific trajectories, namely, singular minimizing trajectories of the…

Optimization and Control · Mathematics 2016-08-16 Yacine Chitour , Frédéric Jean , Emmanuel Trélat

A fair simple car driving simulator was created based on the open source engine TORCS and used in car-following experiments aimed at studying the basic features of human behavior in car driving. Four subjects with different skill in driving…

Adaptation and Self-Organizing Systems · Physics 2015-11-17 Hiromasa Ando , Ihor Lubashevsky , Arkady Zgonnikov , Yoshiaki Saito

Predicting trajectories of pedestrians is quintessential for autonomous robots which share the same environment with humans. In order to effectively and safely interact with humans, trajectory prediction needs to be both precise and…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Nishant Nikhil , Brendan Tran Morris

In recent papers it has been suggested that human locomotion may be modeled as an inverse optimal control problem. In this paradigm, the trajectories are assumed to be solutions of an optimal control problem that has to be determined. We…

Optimization and Control · Mathematics 2010-07-26 Yacine Chitour , Frédéric Jean , Paolo Mason

Jerk-constrained trajectories offer a wide range of advantages that collectively improve the performance of robotic systems, including increased energy efficiency, durability, and safety. In this paper, we present a novel approach to…

Robotics · Computer Science 2025-01-28 Jee-eun Lee , Andrew Bylard , Robert Sun , Luis Sentis

Optimal control models have been successful in describing many aspects of human movement. The interpretation of such models regarding neuronal implementation of the human motor system is not clear. An important aspects of optimal control…

Systems and Control · Computer Science 2016-01-08 Geoffrey George Gamble , Mehrdad Yazdani

An algorithm for planning near time-optimal trajectories for systems with an oscillatory internal dynamics has been developed in previous work. It is based on assembling a complete trajectory from motion primitives called jerk segments,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Thomas Auer , Frank Woittennek

Neuroscientific studies of drawing-like movements usually analyze neural representation of either geometric (eg. direction, shape) or temporal (eg. speed) features of trajectories rather than trajectory's representation as a whole. This…

Neurons and Cognition · Quantitative Biology 2016-01-28 Felix Polyakov

A rather simple car driving simulator was created based on the available open source engine TORCS and used to analyze the basic features of human behavior in car driving within the car-following setups. Eight subjects with different skill…

Physics and Society · Physics 2016-09-08 Ihor Lubashevsky , Hiromasa Ando

For the classical N-body problem, an approach is proposed based on the introduction of some natural in the physical sense optimization problems of mathematical programming for finding a conditional minimum for the characteristics of the…

Dynamical Systems · Mathematics 2023-07-26 Igor Pavlov

During the conceptual and prototype design stage of an industrial product, it is crucial to take assembly/disassembly and maintenance operations in advance. A well-designed system should enable relatively easy access of operating…

Robotics · Computer Science 2012-06-08 Liang Ma , Ruina Ma , Damien Chablat , Fouad Bennis

How dynamic interactions between nervous system regions in mammals performs online motor control remains an unsolved problem. In this paper we show that feedback control is a simple, yet powerful way to understand the neural dynamics of…

Neurons and Cognition · Quantitative Biology 2022-10-24 Sergio Verduzco-Flores , Erik De Schutter
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