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We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

The Hamiltonian formalism plays a central role in classical and quantum physics. Hamiltonians are the main tool for modelling the continuous time evolution of systems with conserved quantities, and they come equipped with many useful…

Machine Learning · Computer Science 2020-02-17 Peter Toth , Danilo Jimenez Rezende , Andrew Jaegle , Sébastien Racanière , Aleksandar Botev , Irina Higgins

We present a simple model-free control algorithm that is able to robustly learn and stabilize an unknown discrete-time linear system with full control and state feedback subject to arbitrary bounded disturbance and noise sequences. The…

Optimization and Control · Mathematics 2020-10-02 Dimitar Ho , John Doyle

In the real-world, self-driving vehicles are required to achieve steering maneuvers in both uncontrolled and uncertain environments while maintaining high levels of safety and passengers' comfort. Ignoring these requirements would…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Yasir K. Al-Nadawi , Hothaifa Al-Qassab , Daniel Kent , Su Pang , Vaibhav Srivastava , Hayder Radha

In many real-world settings, image observations of freely rotating 3D rigid bodies, such as satellites, may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Leonard

In this paper, we present a safe deep reinforcement learning system for automated driving. The proposed framework leverages merits of both rule-based and learning-based approaches for safety assurance. Our safety system consists of two…

Systems and Control · Electrical Eng. & Systems 2020-04-24 Ali Baheri , Subramanya Nageshrao , H. Eric Tseng , Ilya Kolmanovsky , Anouck Girard , Dimitar Filev

A recently proposed class of models attempts to learn latent dynamics from high-dimensional observations, like images, using priors informed by Hamiltonian mechanics. While these models have important potential applications in areas like…

Machine Learning · Statistics 2021-11-12 Irina Higgins , Peter Wirnsberger , Andrew Jaegle , Aleksandar Botev

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

Dynamical Systems · Mathematics 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan

Accurate state estimation plays a critical role in ensuring the robust control of humanoid robots, particularly in the context of learning-based control policies for legged robots. However, there is a notable gap in analytical research…

Robotics · Computer Science 2024-03-12 Zhicheng Wang , Wandi Wei , Ruiqi Yu , Jun Wu , Qiuguo Zhu

We present a three-step method to perform system identification and optimal control of non-linear systems. Our approach is mainly data driven and does not require active excitation of the system to perform system identification. In…

Systems and Control · Electrical Eng. & Systems 2020-09-16 Baptiste Schubnel , Rafael E. Carrillo , Pierre-Jean Alet , Andreas Hutter

Collision-free motion is essential for mobile robots. Most approaches to collision-free and efficient navigation with wheeled robots require parameter tuning by experts to obtain good navigation behavior. This study investigates the…

Robotics · Computer Science 2024-08-08 Hamid Taheri , Seyed Rasoul Hosseini , Mohammad Ali Nekoui

In many complex systems, elementary units live in a chaotic environment and need to adapt their strategies to perform a task, by extracting information from the environment and controlling the feedback loop on it. One of the main example of…

Disordered Systems and Neural Networks · Physics 2023-09-26 Samantha J. Fournier , Pierfrancesco Urbani

Physics-inspired neural networks (NNs), such as Hamiltonian or Lagrangian NNs, dramatically outperform other learned dynamics models by leveraging strong inductive biases. These models, however, are challenging to apply to many real world…

Machine Learning · Computer Science 2022-02-15 Nate Gruver , Marc Finzi , Samuel Stanton , Andrew Gordon Wilson

Swarm navigation in cluttered environments is a grand challenge in robotics. This work combines deep learning with first-principle physics through differentiable simulation to enable autonomous navigation of multiple aerial robots through…

Robotics · Computer Science 2025-06-24 Yuang Zhang , Yu Hu , Yunlong Song , Danping Zou , Weiyao Lin

Accurately predicting the dynamics of robotic systems is crucial for model-based control and reinforcement learning. The most common way to estimate dynamics is by fitting a one-step ahead prediction model and using it to recursively…

Machine Learning · Computer Science 2021-09-02 Nathan O. Lambert , Albert Wilcox , Howard Zhang , Kristofer S. J. Pister , Roberto Calandra

Modeling of conservative systems with neural networks is an area of active research. A popular approach is to use Hamiltonian neural networks (HNNs) which rely on the assumptions that a conservative system is described with Hamilton's…

Artificial Intelligence · Computer Science 2024-07-18 Katsiaryna Haitsiukevich , Alexander Ilin

It is well-known that inverse dynamics models can improve tracking performance in robot control. These models need to precisely capture the robot dynamics, which consist of well-understood components, e.g., rigid body dynamics, and effects…

Robotics · Computer Science 2022-05-30 Moritz Reuss , Niels van Duijkeren , Robert Krug , Philipp Becker , Vaisakh Shaj , Gerhard Neumann

Real-world physics can only be analytically modeled with a certain level of precision for modern intricate robotic systems. As a result, tracking aggressive trajectories accurately could be challenging due to the existence of residual…

Robotics · Computer Science 2026-04-16 Kexin Guo , Zihan Yang , Yuhang Liu , Jindou Jia , Xiang Yu

Data generated from dynamical systems with unknown dynamics enable the learning of state observers that are: robust to modeling error, computationally tractable to design, and capable of operating with guaranteed performance. In this paper,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Ankush Chakrabarty , Mouhacine Benosman

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers