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Motivated by the need for formal guarantees on the stability and safety of controllers for challenging robot control tasks, we present a control design procedure that explicitly seeks to maximize the size of an invariant "funnel" that leads…

Robotics · Computer Science 2012-10-09 Anirudha Majumdar , Amir Ali Ahmadi , Russ Tedrake

Safety is closely related to set invariance for dynamical systems. However, synthesizing a safe invariant set and at the same time synthesizing the associated safe controller still remains challenging. In this note we introduce a simple…

Optimization and Control · Mathematics 2025-11-25 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Traversability assessment of deformable terrain is vital for safe rover navigation on planetary surfaces. Machine learning (ML) is a powerful tool for traversability prediction but faces predictive uncertainty. This uncertainty leads to…

Robotics · Computer Science 2024-09-04 Masafumi Endo , Tatsunori Taniai , Genya Ishigami

We consider the problem of generating motion plans for a robot that are guaranteed to succeed despite uncertainty in the environment, parametric model uncertainty, and disturbances. Furthermore, we consider scenarios where these plans must…

Robotics · Computer Science 2017-05-02 Anirudha Majumdar , Russ Tedrake

Unmanned Surface Vehicles technology (USVs) is an exciting topic that essentially deploys an algorithm to safely and efficiently performs a mission. Although reinforcement learning is a well-known approach to modeling such a task,…

Machine Learning · Computer Science 2020-03-24 Mohammad Etemad , Nader Zare , Mahtab Sarvmaili , Amilcar Soares , Bruno Brandoli Machado , Stan Matwin

This paper presents an approach for learning motion planners that are accompanied with probabilistic guarantees of success on new environments that hold uniformly for any disturbance to the robot's dynamics within an admissible set. We…

Robotics · Computer Science 2021-11-18 Ali Ekin Gurgen , Anirudha Majumdar , Sushant Veer

This paper presents a prescribed performance-based tracking control strategy for the atmospheric reentry flight of space vehicles subject to rapid maneuvers during flight mission. A time-triggered non-monotonic performance funnel is…

Optimization and Control · Mathematics 2023-08-02 Zongyi Guo , Xiyu Gu , Yonglin Han , Jianguo Guo , Thomas Berger

This work presents a computationally efficient approach to data-driven robust contracting controller synthesis for polynomial control-affine systems based on a sum-of-squares program. In particular, we consider the case in which a system…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Hamza El-Kebir , Melkior Ornik

We propose visual-inertial simultaneous localization and mapping that tightly couples sparse reprojection errors, inertial measurement unit pre-integrals, and relative pose factors with dense volumetric occupancy mapping. Hereby depth…

Robotics · Computer Science 2025-03-10 Jaehyung Jung , Simon Boche , Sebastián Barbas Laina , Stefan Leutenegger

This work presents a sum-of-squares (SOS) based framework to perform data-driven stabilization and robust control tasks on discrete-time linear systems where the full-state observations are corrupted by L-infinity bounded input,…

Optimization and Control · Mathematics 2023-03-31 Jared Miller , Tianyu Dai , Mario Sznaier

We consider the problem of designing an invariant set using only a finite set of input-state data collected from an unknown polynomial system in continuous time. We consider noisy data, i.e., corrupted by an unknown-but-bounded disturbance.…

Systems and Control · Electrical Eng. & Systems 2023-11-28 Alessandro Luppi , Andrea Bisoffi , Claudio De Persis , Pietro Tesi

This paper proposes a funnel control method under time-varying hard and soft output constraints. First, an online funnel planning scheme is designed that generates a constraint consistent funnel, which always respects hard (safety)…

Systems and Control · Electrical Eng. & Systems 2026-03-20 Farhad Mehdifar , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

This work proposes a continuum-based approach for the propagation of uncertainties in the initial conditions and parameters for the analysis and prediction of spacecraft re-entries. Using the continuity equation together with the re-entry…

Computational Engineering, Finance, and Science · Computer Science 2021-06-01 Mirko Trisolini , Camilla Colombo

While the traditional viewpoint in machine learning and statistics assumes training and testing samples come from the same population, practice belies this fiction. One strategy -- coming from robust statistics and optimization -- is thus…

Machine Learning · Statistics 2024-07-08 Maxime Cauchois , Suyash Gupta , Alnur Ali , John C. Duchi

This paper presents a machine learning approach to estimate the inertial parameters of a spacecraft in cases when those change during operations, e.g. multiple deployments of payloads, unfolding of appendages and booms, propellant…

Instrumentation and Methods for Astrophysics · Physics 2024-08-08 Konstantinos Platanitis , Miguel Arana-Catania , Leonardo Capicchiano , Saurabh Upadhyay , Leonard Felicetti

Unmanned Surface Vehicles (USVs) are pivotal in marine exploration, but their sensors' accuracy is compromised by the dynamic marine environment. Traditional calibration methods fall short in these conditions. This paper introduces a deep…

Robotics · Computer Science 2024-06-10 Yi Shen , Hao Liu , Chang Zhou , Wentao Wang , Zijun Gao , Qi Wang

In this paper, we study randomized methods for feedback design of uncertain systems. The first contribution is to derive the sample complexity of various constrained control problems. In particular, we show the key role played by the…

Systems and Control · Computer Science 2014-07-22 T. Alamo , R. Tempo , A. Luque , D. R. Ramirez

In this work, we introduce a novel Deep Learning-based method to perceive the environment of a vehicle based on radar scans while accounting for uncertainties in its predictions. The environment of the host vehicle is segmented into equally…

Machine Learning · Computer Science 2023-06-06 Marco Braun , Moritz Luszek , Jan Siegemund , Kevin Kollek , Anton Kummert

In this paper, we introduce a probabilistic approach to risk assessment of robot systems by focusing on the impact of uncertainties. While various approaches to identifying systematic hazards (e.g., bugs, design flaws, etc.) can be found in…

Robotics · Computer Science 2024-10-28 Woo-Jeong Baek , Tom P. Huck , Joschka Haas , Jonas Lewandrowski , Tamim Asfour , Torsten Kröger

Funnel synthesis refers to a procedure for synthesizing a time-varying controlled invariant set and an associated control law around a nominal trajectory. The computation of the funnel involves solving a continuous-time differential…

Optimization and Control · Mathematics 2025-10-28 Taewan Kim , Behçet Açıkmeşe
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