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The problem of optimal motion planing and control is fundamental in robotics. However, this problem is intractable for continuous-time stochastic systems in general and the solution is difficult to approximate if non-instantaneous nonlinear…

机器人学 · 计算机科学 2017-02-28 Mustafa Mukadam , Ching-An Cheng , Xinyan Yan , Byron Boots

Optimal control is often used in robotics for planning a trajectory to achieve some desired behavior, as expressed by the cost function. Most works in optimal control focus on finding a single optimal trajectory, which is then typically…

机器人学 · 计算机科学 2021-08-24 Teguh Santoso Lembono , Sylvain Calinon

Convex model predictive controls (MPCs) with a single rigid body model have demonstrated strong performance on real legged robots. However, convex MPCs are limited by their assumptions such as small rotation angle and pre-defined gait,…

机器人学 · 计算机科学 2022-09-28 Xuan Lin , Feng Xu , Alexander Schperberg , Dennis Hong

This paper reports on a new error-state Model Predictive Control (MPC) approach to connected matrix Lie groups for robot control. The linearized tracking error dynamics and the linearized equations of motion are derived in the Lie algebra.…

机器人学 · 计算机科学 2023-01-24 Sangli Teng , Dianhao Chen , William Clark , Maani Ghaffari

Model predictive control (MPC) has shown great success for controlling complex systems such as legged robots. However, when closing the loop, the performance and feasibility of the finite horizon optimal control problem (OCP) solved at each…

A great advantage of legged robots is their ability to operate on particularly difficult and obstructed terrain, which demands dynamic, robust, and precise movements. The study of obstacle courses provides invaluable insights into the…

机器人学 · 计算机科学 2024-08-27 Maximilian Albracht , Shivesh Kumar , Shubham Vyas , Frank Kirchner

Planning for legged-wheeled machines is typically done using trajectory optimization because of many degrees of freedom, thus rendering legged-wheeled planners prone to falling prey to bad local minima. We present a combined sampling and…

机器人学 · 计算机科学 2021-04-12 Edo Jelavic , Farbod Farshidian , Marco Hutter

Dynamic maneuvers for legged robots present a difficult challenge due to the complex dynamics and contact constraints. This paper introduces a versatile trajectory optimization framework for continuous-time multi-phase problems. We…

机器人学 · 计算机科学 2024-09-20 Ethan Chandler , Akshay Jaitly , Mahdi Agheli

This paper aims to develop a hierarchical nonlinear control algorithm, based on model predictive control (MPC), quadratic programming (QP), and virtual constraints, to generate and stabilize locomotion patterns in a real-time manner for…

机器人学 · 计算机科学 2020-04-16 Kaveh Akbari Hamed , Jeeseop Kim , Abhishek Pandala

This paper proposes a real-time model predictive control (MPC) scheme to execute multiple tasks using robots over a finite-time horizon. In industrial robotic applications, we must carefully consider multiple constraints for avoiding joint…

机器人学 · 计算机科学 2022-09-27 Jaemin Lee , Mingyo Seo , Andrew Bylard , Robert Sun , Luis Sentis

Thanks to recent advancements in accelerating non-linear model predictive control (NMPC), it is now feasible to deploy whole-body NMPC at real-time rates for humanoid robots. However, enforcing inequality constraints in real time for such…

机器人学 · 计算机科学 2024-10-23 Charles Khazoom , Seungwoo Hong , Matthew Chignoli , Elijah Stanger-Jones , Sangbae Kim

The configuration of most robotic systems lies in continuous transformation groups. However, in mobile robot trajectory tracking, many recent works still naively utilize optimization methods for elements in vector space without considering…

系统与控制 · 电气工程与系统科学 2024-03-13 Jiawei Tang , Shuang Wu , Bo Lan , Yahui Dong , Yuqiang Jin , Guangjian Tian , Wen-An Zhang , Ling Shi

This paper presents a system for enabling real-time synthesis of whole-body locomotion and manipulation policies for real-world legged robots. Motivated by recent advancements in robot simulation, we leverage the efficient parallelization…

机器人学 · 计算机科学 2024-09-17 Juan Alvarez-Padilla , John Z. Zhang , Sofia Kwok , John M. Dolan , Zachary Manchester

We propose a computationally efficient Learning Model Predictive Control (LMPC) scheme for constrained optimal control of a class of nonlinear systems where the state and input can be reconstructed using lifted outputs. For the considered…

最优化与控制 · 数学 2021-01-19 Siddharth H. Nair , Ugo Rosolia , Francesco Borrelli

Hierarchical inverse dynamics based on cascades of quadratic programs have been proposed for the control of legged robots. They have important benefits but to the best of our knowledge have never been implemented on a torque controlled…

机器人学 · 计算机科学 2015-08-10 Alexander Herzog , Nicholas Rotella , Sean Mason , Felix Grimminger , Stefan Schaal , Ludovic Righetti

A common approach to the generation of walking patterns for humanoid robots consists in adopting a layered control architecture. This paper proposes an architecture composed of three nested control loops. The outer loop exploits a robot…

In this paper, we present an approach for generating a variety of whole-body motions for a humanoid robot. We extend the available Model Predictive Control (MPC) approaches for walking on flat terrain to plan for both vertical motion of the…

Computing stabilizing and optimal control actions for legged locomotion in real time is difficult due to the nonlinear, hybrid, and high dimensional nature of these robots. The hybrid nature of the system introduces a combination of…

机器人学 · 计算机科学 2025-08-26 Zachary Olkin , Aaron D. Ames

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

机器人学 · 计算机科学 2024-11-01 Davide Celestini , Daniele Gammelli , Tommaso Guffanti , Simone D'Amico , Elisa Capello , Marco Pavone

This paper proposes a novel online motion planning approach to robot navigation based on nonlinear model predictive control. Common approaches rely on pure Euclidean optimization parameters. In robot navigation, however, state spaces often…

机器人学 · 计算机科学 2022-01-06 Christoph Rösmann , Artemi Makarow , Torsten Bertram