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We present a sampling-based kinodynamic planning framework for a bipedal robot in complex environments. Unlike other footstep planner which typically plan footstep locations and the biped dynamics in separate steps, we handle both…

Robotics · Computer Science 2018-07-11 Junhyeok Ahn , Orion Campbell , Donghyun Kim , Luis Sentis

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…

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key idea is to develop a new control-theoretic regularizer for dynamics fitting rooted in the notion of…

Systems and Control · Computer Science 2018-11-13 Sumeet Singh , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

While quadruped robots usually have good stability and load capacity, bipedal robots offer a higher level of flexibility / adaptability to different tasks and environments. A multi-modal legged robot can take the best of both worlds. In…

Robotics · Computer Science 2022-02-25 Chen Yu , Andre Rosendo

Envisioned applications for humanoid robots call for the design of balancing and walking controllers. While promising results have been recently achieved, robust and reliable controllers are still a challenge for the control community…

Optimization and Control · Mathematics 2017-07-18 Gabriele Nava , Francesco Romano , Francesco Nori , Daniele Pucci

Overcoming robotics challenges in the real world requires resilient control systems capable of handling a multitude of environments and unforeseen events. Evolutionary optimization using simulations is a promising way to automatically…

Robotics · Computer Science 2019-04-12 Jørgen Nordmoen , Tønnes F. Nygaard , Kai Olav Ellefsen , Kyrre Glette

Stabilization of a coupled system consisting of a parabolic partial differential equation and an elliptic partial differential equation is considered. Even in the situation when the parabolic equation is exponentially stable on its own, the…

Optimization and Control · Mathematics 2023-09-04 Ala' Alalabi , Kirsten Morris

We consider a single non-holonomic Dubins-like robot traveling with a constant longitudinal speed in an a priori unknown and unsteady planar environment. The robot should detect, locate, and track the boundary of a dynamic environmental…

Optimization and Control · Mathematics 2015-04-09 Alexey S. Matveev , Michael C. Hoy , Kirill S. Ovchinnikov , Alexander M. Anisimov , Andrey V. Savkin

This paper proposes a novel learning-based approach for achieving exponential stabilization of nonlinear control-affine systems. We leverage the Control Contraction Metrics (CCMs) framework to co-synthesize Neural Contraction Metrics (NCMs)…

Systems and Control · Electrical Eng. & Systems 2024-03-27 Muhammad Zakwan , Liang Xu , Giancarlo Ferrari-Trecate

In this paper, we aim to improve the robustness of dynamic quadrupedal locomotion through two aspects: 1) fast model predictive foothold planning, and 2) applying LQR to projected inverse dynamic control for robust motion tracking. In our…

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

Safe path and gait planning are essential for bipedal robots to navigate complex real-world environments. The prevailing approaches often plan the path and gait separately in a hierarchical fashion, potentially resulting in unsafe movements…

Robotics · Computer Science 2024-03-27 Chengyang Peng , Victor Paredes , Ayonga Hereid

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stability of the closed-loop system. An example of parabolic PDE…

Analysis of PDEs · Mathematics 2019-01-09 A Terrand-Jeanne , Vincent Andrieu , Valérie Dos Santos Martins , C. -Z Xu

In this paper, we address the rigid body pose stabilization problem using dual quaternion formalism. We propose a hybrid control strategy to design a switching control law with hysteresis in such a way that the global asymptotic stability…

Optimization and Control · Mathematics 2017-03-01 Hugo T. M. Kussaba , Luis F. C. Figueredo , João Y. Ishihara , Bruno V. Adorno

This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

Robotics · Computer Science 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen

This paper presents advancements in the functionalities of the Recupera-Reha lower extremity exoskeleton robot. The exoskeleton features a series-parallel hybrid design characterized by multiple kinematic loops resulting in 148 degrees of…

Model Predictive Control (MPC) is a popular strategy for controlling robots but is difficult for systems with contact due to the complex nature of hybrid dynamics. To implement MPC for systems with contact, dynamic models are often…

Robotics · Computer Science 2023-11-08 Nathan J. Kong , Chuanzheng Li , Aaron M. Johnson

Bipedal running is a difficult task to realize in robots, since the trunk is underactuated and control is limited by intermittent ground contacts. Stabilizing the trunk becomes even more challenging if the terrain is uneven and causes…

Robotics · Computer Science 2020-06-09 Özge Drama , Alexander Badri-Spröwitz

This paper presents a control law for stabilization and trajectory tracking of a multicopter subject to safety constraints. The proposed approach guarantees forward invariance of a prescribed safety set while ensuring smooth tracking…

Systems and Control · Electrical Eng. & Systems 2025-10-09 Jhon Manuel Portella Delgado , Ankit Goel

The Pyragas method of feedback control has attracted much interest as a method of stabilising unstable periodic orbits in a number of situations. We show that a time-delayed feedback control similar to the Pyragas method can be used to…

Chaotic Dynamics · Physics 2009-11-13 Claire M. Postlethwaite