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In this work we present a trajectory Optimization framework for whole-body motion planning through contacts. We demonstrate how the proposed approach can be applied to automatically discover different gaits and dynamic motions on a…

Robotics · Computer Science 2016-07-18 Michael Neunert , Farbod Farshidian , Alexander W. Winkler , Jonas Buchli

Loco-manipulation planning skills are pivotal for expanding the utility of robots in everyday environments. These skills can be assessed based on a system's ability to coordinate complex holistic movements and multiple contact interactions…

Robotics · Computer Science 2023-08-21 Jean-Pierre Sleiman , Farbod Farshidian , Marco Hutter

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

Online planning of whole-body motions for legged robots is challenging due to the inherent nonlinearity in the robot dynamics. In this work, we propose a nonlinear MPC framework, the BiConMP which can generate whole body trajectories online…

Robotics · Computer Science 2022-09-16 Avadesh Meduri , Paarth Shah , Julian Viereck , Majid Khadiv , Ioannis Havoutis , Ludovic Righetti

In the control of bipedal locomotion, linear velocity of the center of mass has been widely accepted as a primary variable for summarizing a robot's state vector. The ubiquitous massless-legged linear inverted pendulum (LIP) model is based…

Robotics · Computer Science 2021-05-04 Yukai Gong , Jessy Grizzle

Model Predictive Control (MPC) approaches are widely used in robotics, since they guarantee feasibility and allow the computation of updated trajectories while the robot is moving. They generally require heuristic references for the…

Robotics · Computer Science 2023-01-09 Angelo Bratta , Michele Focchi , Niraj Rathod , Claudio Semini

Generating robust locomotion for a humanoid robot in the presence of disturbances is difficult because of its high number of degrees of freedom and its unstable nature. In this paper, we used the concept of Divergent Component of…

Robotics · Computer Science 2021-12-23 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

This paper presents a novel contact-implicit trajectory optimization method using an analytically solvable contact model to enable planning of interactions with hard, soft, and slippery environments. Specifically, we propose a novel contact…

Robotics · Computer Science 2020-07-23 Iordanis Chatzinikolaidis , Yangwei You , Zhibin Li

When balancing, a humanoid robot can be easily subjected to unexpected disturbances like external pushes. In these circumstances, reactive movements as steps become a necessary requirement in order to avoid potentially harmful falling…

Robotics · Computer Science 2017-07-31 Stefano Dafarra , Francesco Romano , Gabriele Nava , Francesco Nori

Feedback motion planning over cell decompositions provides a robust method for generating collision-free robot motion with formal guarantees. However, existing algorithms often produce paths with unnecessary bending, leading to slower…

Robotics · Computer Science 2026-04-16 Aref Amiri , Steven M. LaValle

In this paper, we analyze the effects of contact models on contact-implicit trajectory optimization for manipulation. We consider three different approaches: (1) a contact model that is based on complementarity constraints, (2) a smooth…

Robotics · Computer Science 2019-01-31 Aykut Ozgun Onol , Philip Long , Taskin Padir

When do locomotion controllers require reasoning about nonlinearities? In this work, we show that a whole-body model-predictive controller using a simple linear time-invariant approximation of the whole-body dynamics is able to execute…

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada

Reduced-order template models like the Linear Inverted Pendulum (LIP) and Spring-Loaded Inverted Pendulum (SLIP) are widely used tools for controlling high-dimensional humanoid robots. However, connections between templates and whole-body…

Robotics · Computer Science 2019-09-24 Vince Kurtz , Rafael Rodrigues da Silva , Patrick M. Wensing , Hai Lin

Torque control algorithms which consider robot dynamics and contact constraints are important for creating dynamic behaviors for humanoids. As computational power increases, algorithms tend to also increase in complexity. However, it is not…

Robotics · Computer Science 2017-01-31 Sean Mason , Nicholas Rotella , Stefan Schaal , Ludovic Righetti

This study presents an enhanced theoretical formulation for bipedal hierarchical control frameworks under uneven terrain conditions. Specifically, owing to the inherent limitations of the Linear Inverted Pendulum Model (LIPM) in handling…

Robotics · Computer Science 2025-04-04 Yapeng Shi , Sishu Li , Yongqiang Wu , Junjie Liu , Xiaokun Leng , Xizhe Zang , Songhao Piao

One of the essential aspects of humanoid robot running is determining the limb-swinging trajectories. During the flight phases, where the ground reaction forces are not available for regulation, the limb swinging trajectories are…

Robotics · Computer Science 2025-09-04 Sait Sovukluk , Robert Schuller , Johannes Englsberger , Christian Ott

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

Bipedal robots are essentially unstable because of their complex kinematics as well as high dimensional state space dynamics, hence control and generation of stable walking is a complex subject and still one of the active topics in the…

Robotics · Computer Science 2019-06-06 Mohammadreza Kasaei , Nuno Lau , Artur Pereira

This paper combines the fast Zero-Moment-Point (ZMP) approaches that work well in practice with the broader range of capabilities of a Trajectory Optimization formulation, by optimizing over body motion, footholds and Center of Pressure…

Robotics · Computer Science 2017-05-31 Alexander W Winkler , Farbod Farshidian , Diego Pardo , Michael Neunert , Jonas Buchli