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Accurate models of robots' dynamics are critical for control, stability, motion optimization, and interaction. Semi-Parametric approaches to dynamics learning combine physics-based Parametric models with unstructured Non-Parametric…

Robotics · Computer Science 2020-01-29 Joshua Smith , Michael Mistry

Accurate, computationally efficient, and adaptive vehicle models are essential for autonomous vehicle control. Hybrid models that combine a nominal model with a Gaussian Process (GP)-based residual model have emerged as a promising…

Robotics · Computer Science 2026-02-17 Yaoyu Li , Chaosheng Huang , Jun Li

The goal of system identification is to learn about underlying physics dynamics behind the time-series data. To model the probabilistic and nonparametric dynamics model, Gaussian process (GP) have been widely used; GP can estimate the…

Machine Learning · Statistics 2018-11-22 Young-Jin Park , Han-Lim Choi

Sparse pseudo-point approximations for Gaussian process (GP) models provide a suite of methods that support deployment of GPs in the large data regime and enable analytic intractabilities to be sidestepped. However, the field lacks a…

Machine Learning · Statistics 2017-11-15 Thang D. Bui , Cuong V. Nguyen , Richard E. Turner

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

Robotics · Computer Science 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

This paper presents an adaptive high performance control method for autonomous miniature race cars. Racing dynamics are notoriously hard to model from first principles, which is addressed by means of a cautious nonlinear model predictive…

Systems and Control · Computer Science 2018-12-19 Lukas Hewing , Alexander Liniger , Melanie N. Zeilinger

Applying model predictive control on embedded systems remains challenging due to the high computational cost of solving optimal control problems. To address this limitation, computationally efficient Gaussian process approximations of the…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Alexander Rose , Lukas Theiner , Rolf Findeisen

The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, is often…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Thomas Beckers , Sandra Hirche

Recently, a novel linear model predictive control algorithm based on a physics-informed Gaussian Process has been introduced, whose realizations strictly follow a system of underlying linear ordinary differential equations with constant…

Optimization and Control · Mathematics 2025-05-01 Adrian Lepp , Jörn Tebbe , Andreas Besginow

This paper proposes a safe data-driven control framework for nonlinear systems with partially known dynamics. The method ensures stability and constraint satisfaction during online learning, assuming only a stabilizable linear approximation…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Stefano Tonini , Soroush Rastegarpour , Hamid Reza Feyzmahdavian , Nicola Bastianello , Karl Henrik Johansson

The sparse pseudo-input Gaussian process (SPGP) is a new approximation method for speeding up GP regression in the case of a large number of data points N. The approximation is controlled by the gradient optimization of a small set of M…

Machine Learning · Computer Science 2012-07-02 Edward Snelson , Zoubin Ghahramani

This article addresses the output regulation problem for a class of nonlinear systems using a data-driven approach. An output feedback controller is proposed that integrates a traditional control component with a data-driven learning…

Systems and Control · Electrical Eng. & Systems 2025-06-12 Telema Harry , Martin Guay , Shimin Wang , Richard D. Braatz

By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

Optimization and Control · Mathematics 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

This paper presents an adaptive online learning framework for systems with uncertain parameters to ensure safety-critical control in non-stationary environments. Our approach consists of two phases. The initial phase is centered on a novel…

Machine Learning · Computer Science 2024-03-06 Yu Zhang , Long Wen , Xiangtong Yao , Zhenshan Bing , Linghuan Kong , Wei He , Alois Knoll

We propose a learning-based trajectory tracking controller for autonomous robotic platforms whose motion can be described kinematically on $\mathrm{SE}(3)$. The controller is formulated in the dual quaternion framework and operates at the…

Robotics · Computer Science 2026-01-07 Omayra Yago Nieto , Alexandre Anahory Simoes , Juan I. Giribet , Leonardo Colombo

This paper proposes a novel framework for addressing the challenge of autonomous overtaking and obstacle avoidance, which incorporates the overtaking path planning into Gaussian Process-based model predictive control (GPMPC). Compared with…

Robotics · Computer Science 2021-01-26 Wenjun Liu , Chang Liu , Guang Chen , Peng Hang , Alois Knoll

We present a method for Temporal Difference (TD) learning that addresses several challenges faced by robots learning to navigate in a marine environment. For improved data efficiency, our method reduces TD updates to Gaussian Process…

Machine Learning · Computer Science 2018-10-03 John Martin , Jinkun Wang , Brendan Englot

This paper proposes a nonplanar model predictive control (MPC) framework for autonomous vehicles operating on nonplanar terrain. To approximate complex vehicle dynamics in such environments, we develop a geometry-aware modeling approach…

Robotics · Computer Science 2026-02-19 Ahmad Amine , Kabir Puri , Viet-Anh Le , Rahul Mangharam

Gaussian Processes (GPs) are expressive models for capturing signal statistics and expressing prediction uncertainty. As a result, the robotics community has gathered interest in leveraging these methods for inference, planning, and…

Robotics · Computer Science 2023-08-29 Francesco Crocetti , Jeffrey Mao , Alessandro Saviolo , Gabriele Costante , Giuseppe Loianno

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang