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In robot localisation and mapping, outliers are unavoidable when loop-closure measurements are taken into account. A single false-positive loop-closure can have a very negative impact on SLAM problems causing an inferior trajectory to be…

Robotics · Computer Science 2021-10-06 Milad Ramezani , Matias Mattamala , Maurice Fallon

Safety requirements in dynamical systems are commonly enforced with set invariance constraints over a safe region of the state space. Control barrier functions, which are Lyapunov-like functions for guaranteeing set invariance, are an…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Mohit Srinivasan , Matthew Abate , Gustav Nilsson , Samuel Coogan

Over the course of the past decade, a variety of randomized algorithms have been proposed for computing approximate least-squares (LS) solutions in large-scale settings. A longstanding practical issue is that, for any given input, the user…

Machine Learning · Statistics 2018-09-07 Miles E. Lopes , Shusen Wang , Michael W. Mahoney

We provide an asymptotically tight, computationally efficient approximation of the joint spectral radius of a set of matrices using sum of squares (SOS) programming. The approach is based on a search for an SOS polynomial that proves…

Optimization and Control · Mathematics 2008-03-23 Pablo A. Parrilo , Ali Jadbabaie

Soft robots have immense potential given their inherent safety and adaptability, but challenges in soft actuator forces and design constraints have limited scaling up soft robots to larger sizes. Electrothermal shape memory alloy (SMA)…

This paper introduces a general framework for risk-sensitive bandits that integrates the notions of risk-sensitive objectives by adopting a rich class of distortion riskmetrics. The introduced framework subsumes the various existing…

Machine Learning · Statistics 2025-03-13 Meltem Tatlı , Arpan Mukherjee , Prashanth L. A. , Karthikeyan Shanmugam , Ali Tajer

Knowledge of how a body is oriented relative to the world is frequently invaluable information in the field of robotics. An attitude estimator that fuses 3-axis gyroscope, accelerometer and magnetometer data into a quaternion orientation…

Robotics · Computer Science 2018-09-28 Philipp Allgeuer , Sven Behnke

This study presents an integrated framework for enhancing the safety and operational efficiency of robotic arms in laparoscopic surgery by addressing key challenges in collision detection and minimum distance estimation. By combining…

Robotics · Computer Science 2026-01-23 Sarvin Ghiasi , Majid Roshanfar , Jake Barralet , Liane S. Feldman , Amir Hooshiar

Industrial human-robot collaborative systems must be validated thoroughly with regard to safety. The sooner potential hazards for workers can be exposed, the less costly is the implementation of necessary changes. Due to the complexity of…

Robotics · Computer Science 2021-11-30 Tom P. Huck , Christoph Ledermann , Torsten Kröger

The vast majority of existing Distributed Computing literature about mobile robotic swarms considers computability issues: characterizing the set of system hypotheses that enables problem solvability. By contrast, the focus of this work is…

Computational Geometry · Computer Science 2021-05-21 Adam Heriban , Sébastien Tixeuil

Accurately modeling the friction torque in robotic joints has long been challenging due to the request for a robust mathematical description. Traditional model-based approaches are often labor-intensive, requiring extensive experiments and…

This paper continues to develop a fault tolerant extension of the sparse grid combination technique recently proposed in [B. Harding and M. Hegland, ANZIAM J., 54 (CTAC2012), pp. C394-C411]. The approach is novel for two reasons, first it…

Numerical Analysis · Mathematics 2014-04-11 Brendan Harding , Markus Hegland , Jay Larson , James Southern

What is considered safe for a robot operator during physical human-robot collaboration (HRC) is specified in corresponding HRC standards (e.g., ISO/TS 15066). The regime that allows collisions between the moving robot and the operator,…

Robotics · Computer Science 2025-03-07 Lukas Rustler , Matej Misar , Matej Hoffmann

Sum-of-squares (SOS) optimization provides a computationally tractable framework for certifying polynomial nonnegativity. If the considered problem is convex, the SOS problem can be transcribed into and solved by semi-definite programs.…

Optimization and Control · Mathematics 2026-04-14 Jan Olucak , Torbjørn Cunis

The coordinated assurance of interrelated critical properties, such as system safety and cyber-security, is one of the toughest challenges in critical systems engineering. In this chapter, we summarise approaches to the coordinated…

In this paper a new method for geometric robot calibration is introduced, which uses a calibration plate with precisely known distances between its measuring points. The relative measurement between two points on the calibration plate is…

Robotics · Computer Science 2025-10-30 Bernhard Rameder , Hubert Gattringer , Andreas Mueller

Making a product conform to the functional requirements indicated by the customer suppose to be able to manage the manufacturing process chosen to realise the parts. A simulation step is generally performed to verify that the expected…

Computational Engineering, Finance, and Science · Computer Science 2007-11-15 Frédéric Vignat , François Villeneuve

In this paper, we propose an approximate projected consensus algorithm for a network to cooperatively compute the intersection of convex sets. Instead of assuming the exact convex projection proposed in the literature, we allow each node to…

Systems and Control · Computer Science 2012-05-29 Youcheng Lou , Guodong Shi , Karl Henrik Johansson , Yiguang Hong

This paper investigates the direct application of standardized designs on the robot for conducting robot hand-eye calibration by employing 3D scanners with collaborative robots. The well-established geometric features of the robot flange…

Robotics · Computer Science 2024-07-30 Xudong Han , Ning Guo , Yu Jie , He Wang , Fang Wan , Chaoyang Song

We introduce an approximation method to solve an optimal control problem via the Lagrange dual of its weak formulation. It is based on a sum-of-squares representation of the Hamiltonian, and extends a previous method from polynomial…

Optimization and Control · Mathematics 2021-10-15 Eloïse Berthier , Justin Carpentier , Alessandro Rudi , Francis Bach