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Optimal Control for legged robots has gone through a paradigm shift from position-based to torque-based control, owing to the latter's compliant and robust nature. In parallel to this shift, the community has also turned to Deep…

Robotics · Computer Science 2024-09-04 Shivam Sood , Ge Sun , Peizhuo Li , Guillaume Sartoretti

Online approximation of an infinite horizon optimal path-following strategy for a kinematic unicycle is considered. The solution to the optimal control problem is approximated using an approximate dynamic programming technique that uses…

Systems and Control · Computer Science 2013-10-02 Patrick Walters , Rushikesh Kamalapurkar , Lindsey Andrews , Warren E. Dixon

One of the fundamental challenges in realizing the potential of legged robots is generating plans to traverse challenging terrains. Control actions must be carefully selected so the robot will not crash or slip. The high dimensionality of…

Robotics · Computer Science 2022-05-24 Hersh Sanghvi , Camillo Jose Taylor

We introduce a machine-learning framework to learn the hyperparameter sequence of first-order methods (e.g., the step sizes in gradient descent) to quickly solve parametric convex optimization problems. Our computational architecture…

Optimization and Control · Mathematics 2024-12-23 Rajiv Sambharya , Bartolomeo Stellato

Highly dynamic tasks that require large accelerations and precise tracking usually rely on accurate models and/or high gain feedback. While kinematic optimization allows for efficient representation and online generation of hitting…

Robotics · Computer Science 2019-03-19 Okan Koc , Guilherme Maeda , Jan Peters

Aerial robots can enhance their safe and agile navigation in complex and cluttered environments by efficiently exploiting the information collected during a given task. In this paper, we address the learning model predictive control problem…

Robotics · Computer Science 2024-01-10 Guanrui Li , Alex Tunchez , Giuseppe Loianno

Learning controllers that reproduce legged locomotion in nature has been a long-time goal in robotics and computer graphics. While yielding promising results, recent approaches are not yet flexible enough to be applicable to legged systems…

Robotics · Computer Science 2022-07-26 Daniel Ordonez-Apraez , Antonio Agudo , Francesc Moreno-Noguer , Mario Martin

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

We propose a method for designing policies for convex stochastic control problems characterized by random linear dynamics and convex stage cost. We consider policies that employ quadratic approximate value functions as a substitute for the…

Optimization and Control · Mathematics 2023-11-10 Alan Yang , Stephen Boyd

Trajectory optimization considers the problem of deciding how to control a dynamical system to move along a trajectory which minimizes some cost function. Differential Dynamic Programming (DDP) is an optimal control method which utilizes a…

Systems and Control · Computer Science 2017-01-10 David D. Fan , Evangelos A. Theodorou

The performances of braking control systems for robotic platforms, e.g., assisted and autonomous vehicles, airplanes and drones, are deeply influenced by the road-tire friction experienced during the maneuver. Therefore, the availability of…

Robotics · Computer Science 2022-11-07 F. Crocetti , G. Costante , M. L. Fravolini , P. Valigi

This paper mainly studies the accurate height jumping control of wheeled-bipedal robots based on torque planning and energy consumption optimization. Due to the characteristics of underactuated, nonlinear estimation, and instantaneous…

Robotics · Computer Science 2026-05-06 Yulun Zhuang , Yuan Xu , Binxin Huang , Mandan Chao , Guowei Shi , Xin Yang , Kuangen Zhang , Chenglong Fu

A multi-joint enabled robot requires extensive mathematical calculations to determine the end effector's position with respect to the other connective joints involved and their corresponding frames in a specific coordinate system. If a…

Robotics · Computer Science 2024-08-01 Abid Shahriar

Legged robots are increasingly entering new domains and applications, including search and rescue, inspection, and logistics. However, for such systems to be valuable in real-world scenarios, they must be able to autonomously and robustly…

Robotics · Computer Science 2025-01-30 Ilyass Taouil , Giulio Turrisi , Daniel Schleich , Victor Barasuol , Claudio Semini , Sven Behnke

To achieve highly dynamic jumps of legged robots, it is essential to control the rotational dynamics of the robot. In this paper, we aim to improve the jumping performance by proposing a unified model for planning highly dynamic jumps that…

Robotics · Computer Science 2021-09-13 Ke Wang , Guiyang Xin , Songyan Xin , Michael Mistry , Sethu Vijayakumar , Petar Kormushev

As autonomous robots move into complex, dynamic real-world environments, they must learn to navigate safely in real time, yet anticipating all possible behaviors is infeasible. We propose a composable, model-free reinforcement learning…

Robotics · Computer Science 2026-02-16 Xinhuan Sang , Abdelrahman Abdelgawad , Roberto Tron

Robust and high-precision quantum control is extremely important but challenging for the functionization of scalable quantum computation. In this paper, we show that this hard problem can be translated to a supervised machine learning task…

Quantum Physics · Physics 2019-04-24 Re-Bing Wu , Haijin Ding , Daoyi Dong , Xiaoting Wang

We present a versatile nonlinear model predictive control (NMPC) formulation for quadrupedal locomotion. Our formulation jointly optimizes a base trajectory and a set of footholds over a finite time horizon based on simplified dynamics…

Robotics · Computer Science 2022-07-22 Dongho Kang , Flavio De Vincenti , Stelian Coros

Precise positioning and fast traversal times are crucial in achieving high productivity and scale in machining. This paper compares two optimization-based predictive control approaches that achieve high performance. In the first approach,…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Alexander Liniger , Luca Varano , Alisa Rupenyan , John Lygeros

Online optimal control of quadrupedal robots would enable them to plan their movement in novel scenarios. Linear Model Predictive Control (LMPC) has emerged as a practical approach for real-time control. In LMPC, an optimization problem…

Robotics · Computer Science 2025-07-22 Chun-Ming Yang , Pranav A. Bhounsule