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The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

Optimization and Control · Mathematics 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

Fast and reliable trajectory planning is a key requirement of autonomous vehicles. In this paper we introduce a novel technique for planning the route of an autonomous vehicle on a straight rural road using the Spin model checker. We show…

Robotics · Computer Science 2021-10-26 Daumantas Pagojus , Alice Miller , Bernd Porr , Ivaylo Valkov

A major challenge in autonomous driving is designing control architectures that guarantee safety in all relevant driving scenarios. Given a safe desired reference trajectory for the vehicle, a trajectory following controller has to ensure…

Systems and Control · Electrical Eng. & Systems 2023-08-08 Robert Jacumet , Christian Rathgeber , Vladislav Nenchev

This work presents a motion planning framework for robotic manipulators that computes collision-free paths directly in image space. The generated paths can then be tracked using vision-based control, eliminating the need for an explicit…

Robotics · Computer Science 2025-07-04 Sreejani Chatterjee , Abhinav Gandhi , Berk Calli , Constantinos Chamzas

Safe autonomous navigation is an essential and challenging problem for robots operating in highly unstructured or completely unknown environments. Under these conditions, not only robotic systems must deal with limited localisation…

Robotics · Computer Science 2020-05-27 Èric Pairet , Juan David Hernández , Marc Carreras , Yvan Petillot , Morteza Lahijanian

Reference tracking systems involve a plant that is stabilized by a local feedback controller and a command center that indicates the reference set-point the plant should follow. Typically, these systems are subject to limitations such as…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Maria Angelica Arroyo , Luis Felipe Giraldo

We present a safe-by-design approach to path planning and control for nonlinear systems. The planner uses a low fidelity model of the plant to compute reference trajectories by solving an MPC problem, while the plant being controlled…

Systems and Control · Electrical Eng. & Systems 2019-10-03 He Yin , Monimoy Bujarbaruah , Murat Arcak , Andrew Packard

This paper proposes to combine a 10Hz motion planner based on a kinematic bicycle Model Predictive Control (MPC) and a 100Hz closed-loop Proportional-Integral-Derivative (PID) controller to cope with normal driving situations. Its novelty…

Optimization and Control · Mathematics 2018-04-24 Philip Polack , Florent Altché , Brigitte d'Andréa-Novel , Arnaud de La Fortelle

Generating safe motion plans in real-time is a key requirement for deploying robot manipulators to assist humans in collaborative settings. In particular, robots must satisfy strict safety requirements to avoid self-damage or harming nearby…

Robotics · Computer Science 2023-02-16 Jonathan Michaux , Qingyi Chen , Yongseok Kwon , Ram Vasudevan

This paper presents a method for constrained motion planning from vision, which enables a robot to move its end-effector over an observed surface, given start and destination points. The robot has no prior knowledge of the surface shape,…

Robotics · Computer Science 2020-06-23 T. Pardi , V. Ortenzi , C. Fairbairn , T. Pipe , A. M. Ghalamzan E. , R. Stolkin

Motion planning schemes are used for planning motions of a manipulator from an initial pose to a final pose during a task execution. A motion planning scheme generally comprises of a trajectory planning method and an inverse kinematic…

Robotics · Computer Science 2025-12-04 Shifa Sulaiman , Amarnath H , Simon Bogh , Naresh Marturi

The problem of computing the reachable set for a given system is a quintessential question in nonlinear control theory. While previous work has yielded a plethora of approximate and analytical methods for determining such a set, these…

Optimization and Control · Mathematics 2020-12-29 Melkior Ornik

Terrain traversability analysis is a fundamental issue to achieve the autonomy of a robot at off-road environments. Geometry-based and appearance-based methods have been studied in decades, while behavior-based methods exploiting learning…

Robotics · Computer Science 2022-01-21 Zeyu Zhu , Nan Li , Ruoyu Sun , Huijing Zhao , Donghao Xu

This paper develops a control approach with correctness guarantees for the simultaneous operation of lane keeping and adaptive cruise control. The safety specifications for these driver assistance modules are expressed in terms of set…

Optimization and Control · Mathematics 2017-05-09 Xiangru Xu , Jessy W. Grizzle , Paulo Tabuada , Aaron D. Ames

In autonomous systems, a motion planner generates reference trajectories which are tracked by a low-level controller. For safe operation, the motion planner should account for inevitable controller tracking error when generating avoidance…

Robotics · Computer Science 2019-11-06 Hadi Ravanbakhsh , Forrest Laine , Sanjit A. Seshia

Designing controllers with provable formal guarantees has become an urgent requirement for cyber-physical systems in safety-critical scenarios. Beyond addressing scalability in high-dimensional implementations, controller synthesis…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Jianqiang Ding , Dingran Yuan , Shankar A. Deka

Machine learning models are often used to decide who receives a loan, a job interview, or a public benefit. Models in such settings use features without considering their actionability. As a result, they can assign predictions that are…

Machine Learning · Computer Science 2024-05-02 Avni Kothari , Bogdan Kulynych , Tsui-Wei Weng , Berk Ustun

Trajectory planning under uncertainty is an active research topic. Previous works predict state and state estimation uncertainties along trajectories to check for collision safety. They assume either stochastic or bounded sensing…

Robotics · Computer Science 2020-12-18 Akshay Shetty , Grace Xingxin Gao

This study proposes the application of a backcasting approach to a mobility model with the aim of defining an optimal decarbonization roadmap. The selected decision variable is the introduction of a fleet of shared autonomous vehicles. The…

Systems and Control · Electrical Eng. & Systems 2025-09-25 Théotime Héraud , Vinith Lakshmanan , Antonio Sciarretta

This paper presents a switched model reference admittance control framework to achieve safe and compliant human-robot collaboration through reference trajectory shaping. The proposed method generates variable admittance parameters according…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Chayan Kumar Paul , Bhabani Shankar Dey , Indra Narayan Kar