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This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

In this paper we present a new approach for dynamic motion planning for legged robots. We formulate a trajectory optimization problem based on a compact form of the robot dynamics. Such a form is obtained by projecting the rigid body…

Robotics · Computer Science 2015-10-07 Diego Pardo , Michael Neunert , Alexander W. Winkler , Jonas Buchli

Pneumatic artificial muscles are a quite interesting type of actuators which have a very high power-to-weight and power-to-volume ratio. However, their efficient use requires very accurate control methods which can take into account their…

Systems and Control · Electrical Eng. & Systems 2024-10-30 David Bou Saba , Paolo Massioni , Eric Bideaux , Xavier Brun

Force modulation of robotic manipulators has been extensively studied for several decades but is not yet commonly used in safety-critical applications due to a lack of accurate interaction contact modeling and weak performance guarantees -…

Robotics · Computer Science 2020-08-06 Lasitha Wijayarathne , Qie Sima , Ziyi Zhou , Ye Zhao , Frank L. Hammond

In this paper, we present a motion planning framework for multi-modal vehicle dynamics. Our proposed algorithm employs transcription of the optimization objective function, vehicle dynamics, and state and control constraints into sparse…

Robotics · Computer Science 2021-07-07 L. Lao Beyer , N. Balabanska , E. Tal , S. Karaman

Automation technique has been widely used in manufacturing industry, but there are still manual handling operations required in assembly and maintenance work in industry. Inappropriate posture and physical fatigue might result in…

Robotics · Computer Science 2009-11-10 Liang Ma , Wei Zhang , Damien Chablat , Fouad Bennis , François Guillaume

This work considers a Motion Planning Problem with Dynamic Obstacles (MPDO) in 2D that requires finding a minimum-arrival-time collision-free trajectory for a point robot between its start and goal locations amid dynamic obstacles moving…

Robotics · Computer Science 2022-06-03 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Balance control is important for human and bipedal robotic systems. While dynamic balance during locomotion has received considerable attention, quantitative understanding of static balance and falling remains limited. This work presents a…

Robotics · Computer Science 2025-09-09 Chengtian Ma , Yunyue Wei , Chenhui Zuo , Chen Zhang , Yanan Sui

Parallel manipulators, also called parallel kinematics machines (PKM), enable robotic solutions for highly dynamic handling and machining applications. The safe and accurate design and control necessitates high-fidelity dynamics models.…

Robotics · Computer Science 2024-12-19 Andreas Mueller

This paper proposes several novel optimization algorithms for minimizing a nonlinear objective function. The algorithms are enlightened by the optimal state trajectory of an optimal control problem closely related to the minimized objective…

Optimization and Control · Mathematics 2025-04-01 Hongxia Wang , Yeming Xu , Ziyuan Guo , Huanshui Zhang

This paper addresses the challenge of accommodating nonlinear dynamics and constraints in rapid trajectory optimization, envisioned for use in the context of onboard guidance. We present a novel framework that uniquely employs…

Optimization and Control · Mathematics 2024-10-15 Ethan R. Burnett , Francesco Topputo

Over the past decades, the performance design of closed-chain legged mechanisms (CLMs) has not been adequately addressed. Most existing design methodologies have predominantly relied on trajectory synthesis, which inadvertently prioritizes…

Computational Engineering, Finance, and Science · Computer Science 2025-03-11 Long Guo , Ying Zhang , Qi Qin , Guanjun Liu , Hanyu Chen , Yan-an Yao

We propose a novel and efficient lifting approach for the optimal control of rigid-body systems with contacts to improve the convergence properties of Newton-type methods. To relax the high nonlinearity, we consider the state, acceleration,…

Optimization and Control · Mathematics 2022-10-25 Sotaro Katayama , Toshiyuki Ohtsuka

Real-time computation of optimal control is a challenging problem and, to solve this difficulty, many frameworks proposed to use learning techniques to learn (possibly sub-optimal) controllers and enable their usage in an online fashion.…

Model selection methods are used in different scientific contexts to represent a characteristic data set in terms of a reduced number of parameters. Apparently, these methods have not found their way into the literature on multibody systems…

Robotics · Computer Science 2017-05-30 Javier Ros , Xabier Iriarte , Aitor Plaza , Vicente Mata

Utilizing orthoses and exoskeleton technology in various applications and medical industries, particularly to help elderly and ordinary people in their daily activities is a new growing field for research institutes. In this paper, after…

Robotics · Computer Science 2021-08-12 S. Ali A. Moosavian , Mahdi Nabipour , Farshid Absalan , Vahid Akbari

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

This paper studies bipedal locomotion as a nonlinear optimization problem based on continuous and discrete dynamics, by simultaneously optimizing the remaining step duration, the next step duration and the foot location to achieve…

Robotics · Computer Science 2018-05-08 Wenbin Hu , Iordanis Chatzinikolaidis , Kai Yuan , Zhibin Li

This paper presents a trajectory generation method that optimizes a quadratic cost functional with respect to linear system dynamics and to linear input and state constraints. The method is based on continuous-time flatness-based trajectory…

Systems and Control · Computer Science 2012-11-27 Jean-Francois Stumper , Ralph Kennel

Skeletal muscles are living tissues that can undergo large deformations in short periods of time and that can be activated to produce force. In this paper we use the principles of continuum mechanics to propose a dynamic, fully non-linear,…

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