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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

Designing provably safe control is a core problem in trustworthy autonomy. However, most prior work in this regard assumes either that the system dynamics are known or deterministic, or that the state and action space are finite,…

Robotics · Computer Science 2026-02-04 Xinhang Ma , Junlin Wu , Yiannis Kantaros , Yevgeniy Vorobeychik

We study the problem of devising a closed-loop strategy to control the position of a robot that is tracking a possibly moving target. The robot is capable of obtaining noisy measurements of the target's position. The key idea in active…

Robotics · Computer Science 2016-11-09 Zhonghshun Zhang , Pratap Tokekar

In this paper, we address the problem of safe trajectory planning for autonomous search and exploration in constrained, cluttered environments. Guaranteeing safe (collision-free) trajectories is a challenging problem that has garnered…

Robotics · Computer Science 2023-05-02 Cameron Lerch , Dayi Dong , Ian Abraham

This paper develops a probabilistic anticipation algorithm for dynamic objects observed by an autonomous robot in an urban environment. Predictive Gaussian mixture models are used due to their ability to probabilistically capture continuous…

Robotics · Computer Science 2013-09-04 Frank Havlak , Mark Campbell

Neural Radiance Fields and Gaussian Splatting have recently transformed computer vision by enabling photo-realistic representations of complex scenes. However, they have seen limited application in real-world robotics tasks such as…

Autonomous racing creates challenging control problems, but Model Predictive Control (MPC) has made promising steps toward solving both the minimum lap-time problem and head-to-head racing. Yet, accurate models of the system are necessary…

Systems and Control · Electrical Eng. & Systems 2023-11-06 Tommaso Benciolini , Chen Tang , Marion Leibold , Catherine Weaver , Masayoshi Tomizuka , Wei Zhan

Mobile robots have become more and more popular in large-scale and crowded environments, such as airports, shopping malls, etc. However, due to sparse landmarks and crowd noise, localization in this environment is a great challenge.…

Robotics · Computer Science 2023-03-21 Kuanqi Cai , Weinan Chen , Chaoqun Wang , Hong Zhang , Max Q. -H. Meng

We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

Machine Learning · Statistics 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

In classical reinforcement learning, when exploring an environment, agents accept arbitrary short term loss for long term gain. This is infeasible for safety critical applications, such as robotics, where even a single unsafe action may…

Machine Learning · Computer Science 2017-01-30 Matteo Turchetta , Felix Berkenkamp , Andreas Krause

We tackle safe trajectory planning under Gaussian mixture model (GMM) uncertainty. Specifically, we use a GMM to model the multimodal behaviors of obstacles' uncertain states. Then, we develop a mixed-integer conic approximation to the…

Robotics · Computer Science 2025-03-11 Kai Ren , Heejin Ahn , Maryam Kamgarpour

We study an informative path-planning problem where the goal is to minimize the time required to learn a spatially varying entity. We use Gaussian Process (GP) regression for learning the underlying field. Our goal is to ensure that the GP…

Robotics · Computer Science 2020-03-10 Varun Suryan , Pratap Tokekar

Computed-torque control requires a very precise dynamical model of the robot for compensating the manipulator dynamics. This allows reduction of the controller's feedback gains resulting in disturbance attenuation and other advantages.…

Systems and Control · Computer Science 2018-11-19 Thomas Beckers , Jonas Umlauft , Sandra Hirche

We present $\mathcal{CL}_1$-$\mathcal{GP}$, a control framework that enables safe simultaneous learning and control for systems subject to uncertainties. The two main constituents are contraction theory-based $\mathcal{L}_1$…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Aditya Gahlawat , Arun Lakshmanan , Lin Song , Andrew Patterson , Zhuohuan Wu , Naira Hovakimyan , Evangelos Theodorou

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

We propose a model predictive control approach for autonomous vehicles that exploits learned Gaussian processes for predicting human driving behavior. The proposed approach employs the uncertainty about the GP's prediction to achieve…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Johanna Bethge , Maik Pfefferkorn , Alexander Rose , Jan Peters , Rolf Findeisen

This paper addresses the problem of planning a safe (i.e., collision-free) trajectory from an initial state to a goal region when the obstacle space is a-priori unknown and is incrementally revealed online, e.g., through line-of-sight…

Robotics · Computer Science 2018-04-17 Lucas Janson , Tommy Hu , Marco Pavone

Safely exploring environments with a-priori unknown constraints is a fundamental challenge that restricts the autonomy of robots. While safety is paramount, guarantees on sufficient exploration are also crucial for ensuring autonomous task…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Manish Prajapat , Johannes Köhler , Matteo Turchetta , Andreas Krause , Melanie N. Zeilinger

In this paper, we study extensions to the Gaussian Processes (GPs) continuous occupancy mapping problem. There are two classes of occupancy mapping problems that we particularly investigate. The first problem is related to mapping under…

Robotics · Computer Science 2017-06-05 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

It is a challenging task for ground robots to autonomously navigate in harsh environments due to the presence of non-trivial obstacles and uneven terrain. This requires trajectory planning that balances safety and efficiency. The primary…

Robotics · Computer Science 2025-08-12 Wei Zhang , Yinchuan Wang , Wangtao Lu , Pengyu Zhang , Xiang Zhang , Yue Wang , Chaoqun Wang
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