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Learning stable dynamics from observed time-series data is an essential problem in robotics, physical modeling, and systems biology. Many of these dynamics are represented as an inputs-output system to communicate with the external…

Dynamical Systems · Mathematics 2023-01-18 Yuji Okamoto , Ryosuke Kojima

The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

This work provides a framework for data-driven control of discrete time systems with unknown input-output dynamics and outputs controllable by the inputs. This framework leads to stable and robust real-time control of the system such that a…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Amit K. Sanyal

Learning to navigate in dynamic and complex open-world environments is a critical yet challenging capability for autonomous robots. Existing approaches often rely on cascaded modular frameworks, which require extensive hyperparameter tuning…

Robotics · Computer Science 2025-12-25 Wenzhe Cai , Jiaqi Peng , Yuqiang Yang , Yujian Zhang , Meng Wei , Hanqing Wang , Yilun Chen , Tai Wang , Jiangmiao Pang

In this paper, we propose novel learning frameworks to tackle optimal control problems by applying the Pontryagin maximum principle and then solving for a Hamiltonian dynamical system. Applying the Pontryagin maximum principle to the…

Optimization and Control · Mathematics 2024-08-13 Chandrajit Bajaj , Minh Nguyen

Robots and self-driving vehicles face a number of challenges when navigating through real environments. Successful navigation in dynamic environments requires prioritizing subtasks and monitoring resources. Animals are under similar…

Robotics · Computer Science 2019-09-17 Jinwei Xing , Xinyun Zou , Jeffrey L. Krichmar

Recent research has demonstrated Reservoir Computing's capability to model various chaotic dynamical systems, yet its application to Hamiltonian systems remains relatively unexplored. This paper investigates the effectiveness of Reservoir…

Computational Engineering, Finance, and Science · Computer Science 2025-07-18 Abrari Noor Hasmi , Hadi Susanto

The design of control engineering applications usually requires a model that accurately represents the dynamics of the real system. In addition to classical physical modeling, powerful data-driven approaches are increasingly used. However,…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Annika Junker , Julia Timmermann , Ansgar Trächtler

The popularity of mobile robots has been steadily growing, with these robots being increasingly utilized to execute tasks previously completed by human workers. For bipedal robots to see this same success, robust autonomous navigation…

Robotics · Computer Science 2022-10-10 Octavian A. Donca , Chayapol Beokhaimook , Ayonga Hereid

Autonomous shipping has recently gained much interest in the research community. However, little research focuses on inland - and port navigation, even though this is identified by countries such as Belgium and the Netherlands as an…

Learning complex trajectories from demonstrations in robotic tasks has been effectively addressed through the utilization of Dynamical Systems (DS). State-of-the-art DS learning methods ensure stability of the generated trajectories;…

Robotics · Computer Science 2024-12-10 Andreas Sochopoulos , Michael Gienger , Sethu Vijayakumar

We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments cluttered with obstacles having arbitrary convex shapes. The proposed navigation approach relies on a hybrid feedback to guarantee global…

Robotics · Computer Science 2022-08-05 Mayur Sawant , Soulaimane Berkane , Ilia Polusin , Abdelhamid Tayebi

Stable dynamical systems are a flexible tool to plan robotic motions in real-time. In the robotic literature, dynamical system motions are typically planned without considering possible limitations in the robot's workspace. This work…

Robotics · Computer Science 2020-03-26 Matteo Saveriano , Dongheui Lee

Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate prior physical knowledge when learning the dynamical equations of Hamiltonian systems. Hereby, the symplectic system structure is preserved despite the…

Machine Learning · Computer Science 2023-06-07 Eva Dierkes , Christian Offen , Sina Ober-Blöbaum , Kathrin Flaßkamp

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

Robotics · Computer Science 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

Model-based control is a popular paradigm for robot navigation because it can leverage a known dynamics model to efficiently plan robust robot trajectories. However, it is challenging to use model-based methods in settings where the…

Robotics · Computer Science 2019-07-19 Somil Bansal , Varun Tolani , Saurabh Gupta , Jitendra Malik , Claire Tomlin

We present an algorithm for robust model predictive control with consideration of uncertainty and safety constraints. Our framework considers a nonlinear dynamical system subject to disturbances from an unknown but bounded uncertainty set.…

Optimization and Control · Mathematics 2021-04-23 Dongchan Lee , Konstantin Turitsyn , Jean-Jacques Slotine

We propose a learning-based robust predictive control algorithm that compensates for significant uncertainty in the dynamics for a class of discrete-time systems that are nominally linear with an additive nonlinear component. Such systems…

Systems and Control · Electrical Eng. & Systems 2022-12-05 Rohan Sinha , James Harrison , Spencer M. Richards , Marco Pavone

Determining the Hamiltonian of a quantum system is essential for understanding its dynamics and validating its behavior. Hamiltonian learning provides a data-driven approach to reconstruct the generator of the dynamics from measurements on…

Safe and smooth robot motion around obstacles is an essential skill for autonomous robots, especially when operating around people and other robots. Conventionally, due to real-time operation requirements and onboard computation…

Robotics · Computer Science 2022-12-06 Ömür Arslan