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Model predictive control (MPC) is widely used for motion planning, particularly in autonomous driving. Real-time capability of the planner requires utilizing convex approximation of optimal control problems (OCPs) for the planner. However,…

Robotics · Computer Science 2025-12-04 Johannes Fischer , Marlon Steiner , Ömer Sahin Tas , Christoph Stiller

As autonomous vehicles move from a simplified research setting to practical use, there exists a large gap between the dynamic behavior of a human driving and an autonomous system. Risk-aware behavior needs to naturally develop in order to…

Robotics · Computer Science 2026-05-14 Jason Gibson , Bogdan Vlahov , Patrick Spieler , Evangelos A. Theodorou

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

In the realm of control systems, model predictive control (MPC) has exhibited remarkable potential; however, its reliance on accurate models and substantial computational resources has hindered its broader application, especially within…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Amin Vahidi-Moghaddam , Kaian Chen , Kaixiang Zhang , Zhaojian Li , Yan Wang , Kai Wu

Data-driven approaches to predict-then-optimize decision-making problems seek to mitigate the risk of uncertainty region misspecification in safety-critical settings. Current approaches, however, suffer from considering overly conservative…

Methodology · Statistics 2023-10-17 Yash Patel , Sahana Rayan , Ambuj Tewari

Balancing safety and efficiency when planning in crowded scenarios with uncertain dynamics is challenging where it is imperative to accomplish the robot's mission without incurring any safety violations. Typically, chance constraints are…

Robotics · Computer Science 2023-02-22 Khaled A. Mustafa , Oscar de Groot , Xinwei Wang , Jens Kober , Javier Alonso-Mora

In Model Predictive Control (MPC) formulations of trajectory tracking problems, infeasible reference trajectories and a-priori unknown constraints can lead to cumbersome designs, aggressive tracking, and loss of recursive feasibility. This…

Systems and Control · Electrical Eng. & Systems 2021-04-05 Ivo Batkovic , Mohammad Ali , Paolo Falcone , Mario Zanon

Designing a model predictive control (MPC) scheme that enables a mobile robot to safely navigate through an obstacle-filled environment is a complicated yet essential task in robotics. In this technical report, safety refers to ensuring…

Robotics · Computer Science 2025-08-12 Dennis Benders , Laura Ferranti , Johannes Köhler

In this article, we propose an optimization-based integrated behavior planning and motion control scheme, which is an interpretable and adaptable urban autonomous driving solution that complies with complex traffic rules while ensuring…

Robotics · Computer Science 2023-12-01 Haichao Liu , Kai Chen , Yulin Li , Zhenmin Huang , Jianghua Duan , Jun Ma

Safe motion planning for robotic systems in dynamic environments is nontrivial in the presence of uncertain obstacles, where estimation of obstacle uncertainties is crucial in predicting future motions of dynamic obstacles. The worst-case…

Robotics · Computer Science 2025-01-22 Jian Zhou , Yulong Gao , Ola Johansson , Björn Olofsson , Erik Frisk

For safe navigation in dynamic uncertain environments, robotic systems rely on the perception and prediction of other agents. Particularly, in occluded areas where cameras and LiDAR give no data, the robot must be able to reason about…

Robotics · Computer Science 2024-10-24 Roya Firoozi , Alexandre Mir , Gadi Sznaier Camps , Mac Schwager

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

This paper considers safe robot mission planning in uncertain dynamical environments. This problem arises in applications such as surveillance, emergency rescue, and autonomous driving. It is a challenging problem due to modeling and…

Robotics · Computer Science 2020-03-09 Yimeng Lu , Maryam Kamgarpour

Industrial manipulators are normally operated in cluttered environments, making safe motion planning important. Furthermore, the presence of model-uncertainties make safe motion planning more difficult. Therefore, in practice the speed is…

Robotics · Computer Science 2026-02-16 Bernhard Wullt , Johannes Köhler , Per Mattsson , Mikeal Norrlöf , Thomas B. Schön

Uncertainty in control and perception poses challenges for autonomous vehicle navigation in unstructured environments, leading to navigation failures and potential vehicle damage. This paper introduces a framework that minimizes control and…

Robotics · Computer Science 2023-06-27 Junwon Seo , Jungwi Mun , Taekyung Kim

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

Robotics · Computer Science 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

Robotics · Computer Science 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

Predictive safety filters enable the integration of potentially unsafe learning-based control approaches and humans into safety-critical systems. In addition to simple constraint satisfaction, many control problems involve additional…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Elias Milios , Kim Peter Wabersich , Felix Berkel , Lukas Schwenkel

This paper develops a data-driven learning framework for approximating the feasible region and invariant set of a nonlinear system under the nonlinear Model Predictive Control (MPC) scheme. The developed approach is based on the feasibility…

Optimization and Control · Mathematics 2020-12-16 Yuanqiang Zhou , Dewei Li , Yugeng Xi , Yunwen Xu

Robotic manipulators are essential for precise industrial pick-and-place operations, yet planning collision-free trajectories in dynamic environments remains challenging due to uncertainties such as sensor noise and time-varying delays.…