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Dynamic locomotion in rough terrain requires accurate foot placement, collision avoidance, and planning of the underactuated dynamics of the system. Reliably optimizing for such motions and interactions in the presence of imperfect and…

Robotics · Computer Science 2022-08-18 Ruben Grandia , Fabian Jenelten , Shaohui Yang , Farbod Farshidian , Marco Hutter

Model predictive control allows solving complex control tasks with control and state constraints. However, an optimal control problem must be solved in real-time to predict the future system behavior, which is hardly possible on embedded…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Jan Olucak , Walter Fichter , Torbjørn Cunis

In a world designed for legs, quadrupeds, bipeds, and humanoids have the opportunity to impact emerging robotics applications from logistics, to agriculture, to home assistance. The goal of this survey is to cover the recent progress toward…

Robotics · Computer Science 2022-11-22 Patrick M. Wensing , Michael Posa , Yue Hu , Adrien Escande , Nicolas Mansard , Andrea Del Prete

We introduce a real-time, constrained, nonlinear Model Predictive Control for the motion planning of legged robots. The proposed approach uses a constrained optimal control algorithm known as SLQ. We improve the efficiency of this algorithm…

Robotics · Computer Science 2018-01-31 Farbod Farshidian , Edo Jelavić , Asutosh Satapathy , Markus Giftthaler , Jonas Buchli

Precise trajectory tracking for legged robots can be challenging due to their high degrees of freedom, unmodeled nonlinear dynamics, or random disturbances from the environment. A commonly adopted solution to overcome these challenges is to…

Robotics · Computer Science 2025-09-01 Jing Cheng , Yasser G. Alqaham , Amit K. Sanyal , Zhenyu Gan

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…

Robotics · Computer Science 2024-08-27 Maximilian Albracht , Shivesh Kumar , Shubham Vyas , Frank Kirchner

Performing highly agile dynamic motions, such as jumping or running on uneven stepping stones has remained a challenging problem in legged robot locomotion. This paper presents a framework that combines trajectory optimization and model…

Robotics · Computer Science 2022-09-20 Chuong Nguyen , Lingfan Bao , Quan Nguyen

In this paper, we present an efficient Dynamic Programing framework for optimal planning and control of legged robots. First we formulate this problem as an optimal control problem for switched systems. Then we propose a multi--level…

Systems and Control · Computer Science 2018-01-31 Farbod Farshidian , Michael Neunert , Alexander W. Winkler , Gonzalo Rey , Jonas Buchli

Traditional approaches to quadruped control frequently employ simplified, hand-derived models. This significantly reduces the capability of the robot since its effective kinematic range is curtailed. In addition, kinodynamic constraints are…

Legged robot locomotion requires the planning of stable reference trajectories, especially while traversing uneven terrain. The proposed trajectory optimization framework is capable of generating dynamically stable base and footstep…

Robotics · Computer Science 2021-03-24 Oguzhan Cebe , Carlo Tiseo , Guiyang Xin , Hsiu-chin Lin , Joshua Smith , Michael Mistry

Humanoid robots are machines built with an anthropomorphic shape. Despite decades of research into the subject, it is still challenging to tackle the robot locomotion problem from an algorithmic point of view. For example, these machines…

Robotics · Computer Science 2020-04-28 Stefano Dafarra

In this paper, we propose a novel approach on controlling wheel-legged quadrupedal robots using pose optimization and force control via quadratic programming (QP). Our method allows the robot to leverage the whole-body motion and the wheel…

Robotics · Computer Science 2022-03-11 Junheng Li , Junchao Ma , Quan Nguyen

Convex optimization is crucial in controlling legged robots, where stability and optimal control are vital. Many control problems can be formulated as convex optimization problems, with a convex cost function and constraints capturing…

Optimization and Control · Mathematics 2023-07-04 Prathamesh Saraf , Mustafa Shaikh , Myron Phan

Optimal control problem is typically solved by first finding the value function through Hamilton-Jacobi equation (HJE) and then taking the minimizer of the Hamiltonian to obtain the control. In this work, instead of focusing on the value…

Optimization and Control · Mathematics 2021-09-10 Alain Bensoussan , Jiayue Han , Sheung Chi Phillip Yam , Xiang Zhou

Robotic perception models, such as Deep Neural Networks (DNNs), are becoming more computationally intensive and there are several models being trained with accuracy and latency trade-offs. However, modern latency accuracy trade-offs largely…

Robotics · Computer Science 2022-07-14 Bineet Ghosh , Masaad Khan , Adithya Ashok , Sandeep Chinchali , Parasara Sridhar Duggirala

Accurate control of robots at high speeds requires a control system that can take into account the kinodynamic interactions of the robot with the environment. Prior works on learning inverse kinodynamic (IKD) models of robots have shown…

Robotics · Computer Science 2022-08-04 Pranav Atreya , Haresh Karnan , Kavan Singh Sikand , Xuesu Xiao , Sadegh Rabiee , Joydeep Biswas

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…

Robotics · Computer Science 2025-08-26 Zachary Olkin , Aaron D. Ames

Learning to make decisions from observed data in dynamic environments remains a problem of fundamental importance in a number of fields, from artificial intelligence and robotics, to medicine and finance. This paper concerns the problem of…

Machine Learning · Statistics 2018-06-04 Jack Umenberger , Thomas B. Schön

This paper presents a data-driven strategy to streamline the deployment of model-based controllers in legged robotic hardware platforms. Our approach leverages a model-free safe learning algorithm to automate the tuning of control gains,…

Robotics · Computer Science 2023-10-27 Daniel Widmer , Dongho Kang , Bhavya Sukhija , Jonas Hübotter , Andreas Krause , Stelian Coros

In this work we adapt a prediction-correction algorithm for continuous time-varying convex optimization problems to solve dynamic programs arising from Model Predictive Control. In particular, the prediction step tracks the evolution of the…

Systems and Control · Electrical Eng. & Systems 2019-11-25 Santiago Paternain , Manfred Morari , Alejandro Ribeiro
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