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This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

To overcome the obstructions imposed by high-dimensional bipedal models, we embed a stable walking motion in an attractive low-dimensional surface of the system's state space. The process begins with trajectory optimization to design an…

Dynamical Systems · Mathematics 2017-11-08 Xingye Da , Jessy Grizzle

To generate reliable motion for legged robots through trajectory optimization, it is crucial to simultaneously compute the robot's path and contact sequence, as well as accurately consider the dynamics in the problem formulation. In this…

Robotics · Computer Science 2025-10-29 Sangmin Kim , Hajun Kim , Gijeong Kim , Min-Gyu Kim , Hae-Won Park

In recent years, reinforcement learning (RL) based quadrupedal locomotion control has emerged as an extensively researched field, driven by the potential advantages of autonomous learning and adaptation compared to traditional control…

Robotics · Computer Science 2024-10-15 Maurya Gurram , Prakash Kumar Uttam , Shantipal S. Ohol

Controlling large-scale particle or robot systems is challenging because of their high dimensionality. We use a centralized stochastic approach that allows for optimal control at the cost of a central element instead of a decentralized…

Robotics · Computer Science 2021-08-25 Babak Salamat , Christopher Johannes Starck , Heiko Hamann

Developing robust locomotion for humanoid robots is a complex task due to the unstable nature of these robots and also to the unpredictability of the terrain. A robust locomotion planner is one of the fundamental components for generating…

Robotics · Computer Science 2019-09-17 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

A high order optimal control strategy implemented in the Koopman operator framework is proposed in this work. The new technique exploits the Koopman representation of the solution of the equations of motion to develop an energy optimal…

Optimization and Control · Mathematics 2022-07-15 Simone Servadio , Roberto Armellin , Richard Linares

Recent advancements in constrained kinematic control make it an attractive strategy for controlling robots with arbitrary geometry in challenging tasks. Most current works assume that the robot kinematic model is precise enough for the task…

Robotics · Computer Science 2023-09-21 Murilo Marques Marinho , Bruno Vilhena Adorno

Many methods exist for a bipedal robot to keep its balance while walking. In addition to step size and timing, other strategies are possible that influence the stability of the robot without interfering with the target direction and speed…

Robotics · Computer Science 2018-10-15 Philipp Allgeuer , Sven Behnke

Locomotion on dynamic rigid surface (i.e., rigid surface accelerating in an inertial frame) presents complex challenges for controller design, which are essential for deploying humanoid robots in dynamic real-world environments such as…

Robotics · Computer Science 2024-09-16 Yuan Gao , Victor Paredes , Yukai Gong , Zijian He , Ayonga Hereid , Yan Gu

The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the…

Optimization and Control · Mathematics 2025-09-10 George V. Haman , Anil V. Rao

The problem of robust distributed control arises in several large-scale systems, such as transportation networks and power grid systems. In many practical scenarios controllers might not have enough information to make globally optimal…

Systems and Control · Computer Science 2019-09-26 Luca Furieri , Maryam Kamgarpour

This letter considers control of a radially symmetric tripedal friction-driven robot. The robot features 3 servo motors mounted on a 3-D printed chassis 7 cm from the center of mass and separated 120 degrees. These motors drive limbs, which…

Robotics · Computer Science 2021-03-25 Mark Hermes , Taylor McLaughlin , Mitul Luhar , Quan Nguyen

This paper presents design and control innovations of wearable robots that tackle two barriers to widespread adoption of powered exoskeletons, namely restriction of human movement and versatile control of wearable co-robot systems. First,…

In this paper, we consider the problem of periodic optimal control of nonlinear systems subject to online changing and periodically time-varying economic performance measures using model predictive control (MPC). The proposed economic MPC…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Matthias A. Müller , Frank Allgöwer

In this work, we present the integrated structure-control design of a 2-DOF underactuated mechanical system, aiming to achieve a periodic motion of the end-effector. The desired behavior is generated via input-output linearization, followed…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Andrea Tilli , Alessandro Bosso , Elena Ruggiano , Alessandro Samorì

This paper presents a multi-contact motion adaptation framework that enables teleoperation of high degree-of-freedom (DoF) robots, such as quadrupeds and humanoids, for loco-manipulation tasks in multi-contact settings. Our proposed…

Robotics · Computer Science 2022-06-02 Quentin Rouxel , Kai Yuan , Ruoshi Wen , Zhibin Li

Quadruped robots have strong adaptability to extreme environments but may also experience faults. Once these faults occur, robots must be repaired before returning to the task, reducing their practical feasibility. One prevalent concern…

Robotics · Computer Science 2024-01-01 Xinyuan Wu , Wentao Dong , Hang Lai , Yong Yu , Ying Wen

This paper aims to present a stability control strategy for quadruped robot under lateral impact with the help of lateral trot. We firstly propose five necessary conditions for keeping balance. The classical four-neuron Central Pattern…

Robotics · Computer Science 2017-11-22 Qingsheng Luo , Chenyang Zhou , Yan Jia , Jianfeng Gao , Fangzheng Liu