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In this paper, we explore the space of running gaits for the bipedal robot Cassie. Our first contribution is to present an approach for optimizing gait efficiency across a spectrum of speeds with the aim of enabling extremely high-speed…

Robotics · Computer Science 2025-08-06 Devin Crowley , Jeremy Dao , Helei Duan , Kevin Green , Jonathan Hurst , Alan Fern

While ensuring stability for linear systems is well understood, it remains a major challenge for nonlinear systems. A general approach in such cases is to compute a combination of a Lyapunov function and an associated control policy.…

Machine Learning · Computer Science 2023-12-27 Junlin Wu , Andrew Clark , Yiannis Kantaros , Yevgeniy Vorobeychik

Bipedal robots demonstrate potential in navigating challenging terrains through dynamic ground contact. However, current frameworks often depend solely on proprioception or use manually designed visual pipelines, which are fragile in…

Robotics · Computer Science 2025-08-12 Minku Kim , Brian Acosta , Pratik Chaudhari , Michael Posa

Forward complete systems are guaranteed to have solutions that exist globally for all positive time. In this paper, a relaxed Lyapunov-like condition for forward completeness is presented for finite-dimensional systems defined on open sets…

Optimization and Control · Mathematics 2023-07-24 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

An interlaced method to learn and control nonlinear system dynamics from a set of demonstrations is proposed, under a constrained optimization framework for the unsupervised learning process. The nonlinear system is modelled as a mixture of…

Systems and Control · Electrical Eng. & Systems 2024-10-17 Yeyson A. Becerra-Mora , José Ángel Acosta

This paper presents a Non-Linear Model Predictive Controller for humanoid robot locomotion with online step adjustment capabilities. The proposed controller considers the Centroidal Dynamics of the system to compute the desired contact…

A novel dynamic model-based trajectory tracking control law is proposed for a four-wheel differentially driven mobile robot using a backstepping technique that guarantees the Lyapunov stability. The present work improves the work of…

Optimization and Control · Mathematics 2014-09-19 Jae-Yun Jun , Minh-Duc Hua , Faïz Benamar

Navigating a large-scaled robot in unknown and cluttered height-constrained environments is challenging. Not only is a fast and reliable planning algorithm required to go around obstacles, the robot should also be able to change its…

Robotics · Computer Science 2023-07-14 Zhongyu Li , Jun Zeng , Shuxiao Chen , Koushil Sreenath

Locomotion of legged machines faces the problems of model complexity and computational costs. Algorithms based on complex models and/or reinforcement learning exist to solve the walking control task. In this project, we aim to develop a…

Robotics · Computer Science 2018-05-17 Kendeas Theofanous

The remarkable athletic intelligence displayed by humans in complex dynamic movements such as dancing and gymnastics suggests that the balance mechanism in biological beings is decoupled from specific movement patterns. This decoupling…

Robotics · Computer Science 2024-04-15 Jiayi Li , Linqi Ye , Yi Cheng , Houde Liu , Bin Liang

Nonlinear model predictive locomotion controllers based on the reduced centroidal dynamics are nowadays ubiquitous in legged robots. These schemes, even if they assume an inherent simplification of the robot's dynamics, were shown to endow…

The Cassie bipedal robot designed by Agility Robotics is providing academics a common platform for sharing and comparing algorithms for locomotion, perception, and navigation. This paper focuses on feedback control for standing and walking…

Robotics · Computer Science 2018-09-20 Yukai Gong , Ross Hartley , Xingye Da , Ayonga Hereid , Omar Harib , Jiunn-Kai Huang , Jessy Grizzle

All practical systems often pose a problem of finite control capability, which can notably degrade the performance if not properly addressed. Since actuator input bounds are typically known, integrating actuator saturation considerations…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Ram Milan Kumar Verma , Shashi Ranjan Kumar , Hemendra Arya

Fixed-time stable dynamical systems are capable of achieving exact convergence to an equilibrium point within a fixed time that is independent of the initial conditions of the system. This property makes them highly appealing for designing…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Michael Tang , Miroslav Krstic , Jorge Poveda

This study presents a theoretical method for planning and controlling agile bipedal locomotion based on robustly tracking a set of non-periodic keyframe states. Based on centroidal momentum dynamics, we formulate a hybrid phase-space…

Robotics · Computer Science 2017-08-23 Ye Zhao , Benito R. Fernandez , Luis Sentis

Neural-based, data-driven analysis and control of dynamical systems have been recently investigated and have shown great promise, e.g. for safety verification or stability analysis. Indeed, not only do neural networks allow for an entirely…

Optimization and Control · Mathematics 2023-12-14 Virginie Debauche , Alec Edwards , Raphael M. Jungers , Alessandro Abate

Practical bipedal robot locomotion needs to be both energy efficient and robust to variability and uncertainty. In this paper, we build upon recent works in trajectory optimization for robot locomotion with two primary goals. First, we wish…

Robotics · Computer Science 2018-07-27 Nihar Talele , Katie Byl

This study introduces a robust planning framework that utilizes a model predictive control (MPC) approach, enhanced by incorporating signal temporal logic (STL) specifications. This marks the first-ever study to apply STL-guided trajectory…

Robotics · Computer Science 2024-11-20 Zhaoyuan Gu , Yuntian Zhao , Yipu Chen , Rongming Guo , Jennifer K. Leestma , Gregory S. Sawicki , Ye Zhao

This paper presents a visual-inertial-based control strategy to address the task space control problem of robot manipulators. To this end, an observer-based hybrid controller is employed to control end-effector motion. In addition, a hybrid…

Systems and Control · Electrical Eng. & Systems 2025-12-04 Seyed Hamed Hashemi , Jouni Mattila

Reinforcement learning (RL) has become the de facto method for achieving locomotion on humanoid robots in practice, yet stability analysis of the corresponding control policies is lacking. Recent work has attempted to merge control…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Zachary Olkin , William D. Compton , Aaron D. Ames
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