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A path-following collision-avoidance model predictive control (MPC) method is proposed which approximates obstacle shapes as convex polygons. Collision-avoidance is ensured by means of the signed distance function which is calculated…

Systems and Control · Electrical Eng. & Systems 2021-03-26 Simon Helling , Christian Roduner , Thomas Meurer

We propose a Model Predictive Control (MPC) for collision avoidance between an autonomous agent and dynamic obstacles with uncertain predictions. The collision avoidance constraints are imposed by enforcing positive distance between convex…

Robotics · Computer Science 2022-08-09 Siddharth H. Nair , Eric H. Tseng , Francesco Borrelli

Trajectory planning in dense, interactive traffic scenarios presents significant challenges for autonomous vehicles, primarily due to the uncertainty of human driver behavior and the non-convex nature of collision avoidance constraints.…

Systems and Control · Electrical Eng. & Systems 2025-10-30 Erik Börve , Nikolce Murgovski , Leo Laine

This paper proposes a new set of conditions for exactly representing collision avoidance constraints within optimization-based motion planning algorithms. The conditions are continuously differentiable and therefore suitable for use with…

Robotics · Computer Science 2023-02-21 James Guthrie

In practice, navigation of mobile robots in confined environments is often done using a spatially discrete cost-map to represent obstacles. Path following is a typical use case for model predictive control (MPC), but formulating constraints…

Robotics · Computer Science 2025-07-15 Michael Schröder , Eric Schöneberg , Daniel Görges , Hans D. Schotten

To be applicable to real world scenarios trajectory planning schemes for mobile autonomous systems must be able to efficiently deal with obstacles in the area of operation. In the context of optimization based trajectory planning and…

Optimization and Control · Mathematics 2021-04-27 Max Lutz , Thomas Meurer

This paper proposes a motion control scheme for robots operating in a dynamic environment with concave obstacles. A Model Predictive Controller (MPC) is constructed to drive the robot towards a goal position while ensuring collision…

Robotics · Computer Science 2023-03-29 Albin Dahlin , Yiannis Karayiannidis

In order for automated mobile vehicles to navigate in the real world with minimal collision risks, it is necessary for their planning algorithms to consider uncertainties from measurements and environmental disturbances. In this paper, we…

Robotics · Computer Science 2022-12-19 Nathan Goulet , Qian Wang , Beshah Ayalew

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

This paper details an approach to linearise differentiable but non-convex collision avoidance constraints tailored to convex shapes. It revisits introducing differential collision avoidance constraints for convex objects into an optimal…

Optimization and Control · Mathematics 2025-05-19 Dries Dirckx , Wilm Decré , Jan Swevers

This paper presents a method for local motion planning in unstructured environments with static and moving obstacles, such as humans. Given a reference path and speed, our optimization-based receding-horizon approach computes a local…

Robotics · Computer Science 2020-10-21 Bruno Brito , Boaz Floor , Laura Ferranti , Javier Alonso-Mora

This article addresses the obstacle avoidance problem for setpoint stabilization and path-following tasks in complex dynamic 2D environments that go beyond conventional scenes with isolated convex obstacles. A combined motion planner and…

Robotics · Computer Science 2023-12-11 Albin Dahlin , Yiannis Karayiannidis

This article proposes a novel control architecture using a centralized nonlinear model predictive control (CNMPC) scheme for controlling multiple micro aerial vehicles (MAVs). The control architecture uses an augmented state system to…

Robotics · Computer Science 2021-09-03 Björn Lindqvist , Sina Sharif Mansouri , Pantelis Sopasakis , George Nikolakopoulos

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

Optimization and Control · Mathematics 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

In this paper, we present an on-board vision-based approach for avoidance of moving obstacles in dynamic environments. Our approach relies on an efficient obstacle detection and tracking algorithm based on depth image pairs, which provides…

Robotics · Computer Science 2020-02-14 Jiahao Lin , Hai Zhu , Javier Alonso-Mora

Autonomous driving requires reliable collision avoidance in dynamic environments. Nonlinear Model Predictive Controllers (NMPCs) are suitable for this task, but struggle in time-critical scenarios requiring high frequency. To meet this…

Systems and Control · Electrical Eng. & Systems 2025-12-17 Ricardo Tapia , Iman Soltani

In this paper, we present a Model Predictive Control (MPC) framework based on path velocity decomposition paradigm for autonomous driving. The optimization underlying the MPC has a two layer structure wherein first, an appropriate path is…

Robotics · Computer Science 2018-03-09 Mithun Babu , Yash Oza , Arun Kumar Singh , K. Madhava Krishna , Shanti Medasani

Reference tracking and obstacle avoidance rank among the foremost challenging aspects of autonomous driving. This paper proposes control designs for solving reference tracking problems in autonomous driving tasks while considering static…

Systems and Control · Electrical Eng. & Systems 2024-05-06 Maryam Nezami , Dimitrios S. Karachalios , Georg Schildbach , Hossam S. Abbas

In this paper, a novel closed-loop control framework for autonomous obstacle avoidance on a curve road is presented. The proposed framework provides two main functionalities; (i) collision free trajectory planning using MPC and (ii) a…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Shayan Taherian , Shilp Dixit , Umberto Montanaro , Saber Fallah

This paper presents a novel approach for collision avoidance in optimal and model predictive control, in which the environment is represented by a large number of points and the robot as a union of padded polygons. The conditions that none…

Robotics · Computer Science 2026-03-24 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Rashmi Dabir , Moritz Diehl
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