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This paper presents a tutorial overview of path integral (PI) control approaches for stochastic optimal control and trajectory optimization. We concisely summarize the theoretical development of path integral control to compute a solution…

Robotics · Computer Science 2023-12-05 Muhammad Kazim , JunGee Hong , Min-Gyeom Kim , Kwang-Ki K. Kim

Vehicles with Automated Driving Systems (ADS) operate in a high-dimensional continuous system with multi-agent interactions. This continuous system features various types of traffic agents (non-homogeneous) governed by continuous-motion…

Robotics · Computer Science 2020-05-21 Bowen Weng , Sughosh J. Rao , Eeshan Deosthale , Scott Schnelle , Frank Barickman

Path Planning for stochastic hybrid systems presents a unique challenge of predicting distributions of future states subject to a state-dependent dynamics switching function. In this work, we propose a variant of Model Predictive Path…

Autonomous vehicles are the upcoming solution to most transportation problems such as safety, comfort and efficiency. The steering control is one of the main important tasks in achieving autonomous driving. Model predictive control (MPC) is…

Optimization and Control · Mathematics 2025-09-23 Yassine Kebbati , Vicenç Puig , Naima Ait-Oufroukh , Vincent Vigneron , Dalil Ichalal

In this paper, we present a novel Model Predictive Control method for autonomous robots subject to arbitrary forms of uncertainty. The proposed Risk-Aware Model Predictive Path Integral (RA-MPPI) control utilizes the Conditional…

Robotics · Computer Science 2022-09-27 Ji Yin , Zhiyuan Zhang , Panagiotis Tsiotras

We present an algorithm for safe robot navigation in complex dynamic environments using a variant of model predictive equilibrium point control. We use an optimization formulation to navigate robots gracefully in dynamic environments by…

Robotics · Computer Science 2023-03-20 Senthil Hariharan Arul , Jong Jin Park , Dinesh Manocha

Classical proportional--integral--derivative (PID) control is widely employed in industrial applications; however, achieving higher performance often motivates the adoption of model predictive control (MPC). Although gradient-based methods…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Teruki Kato , Koshi Oishi , Seigo Ito

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

In this paper we present distributed and adaptive algorithms for motion coordination of a group of m autonomous vehicles. The vehicles operate in a convex environment with bounded velocity and must service demands whose time of arrival,…

Robotics · Computer Science 2016-11-17 Marco Pavone , Emilio Frazzoli , Francesco Bullo

This paper introduces a local planner that synergizes the decision making and trajectory planning modules towards autonomous driving. The decision making and trajectory planning tasks are jointly formulated as a nonlinear programming…

Robotics · Computer Science 2024-12-02 Wenru Liu , Haichao Liu , Lei Zheng , Zhenmin Huang , Jun Ma

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

This paper studies the problem of control strategy synthesis for dynamical systems with differential constraints to fulfill a given reachability goal while satisfying a set of safety rules. Particular attention is devoted to goals that…

In this work, we present a novel approach to bias the driving style of an artificial race driver (ARD) for online time-optimal trajectory planning. Our method leverages a nonlinear model predictive control (MPC) framework that combines time…

Robotics · Computer Science 2025-08-11 Sebastiano Taddei , Mattia Piccinini , Francesco Biral

Safely interacting with other traffic participants is one of the core requirements for autonomous driving, especially in intersections and occlusions. Most existing approaches are designed for particular scenarios and require significant…

Robotics · Computer Science 2022-09-27 Yingbing Chen , Ren Xin , Jie Cheng , Qingwen Zhang , Xiaodong Mei , Ming Liu , Lujia Wang

The conventional Artificial Potential Field (APF) is fundamentally limited by the local minima issue and its inability to account for the kinematics of moving obstacles. This paper addresses the critical challenge of autonomous collision…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Nikita Vaibhav Pavle , Shrreya Rajneesh , Rakesh Kumar Sahoo , Manoranjan Sinha

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

Multi-modal behaviors exhibited by surrounding vehicles (SVs) can typically lead to traffic congestion and reduce the travel efficiency of autonomous vehicles (AVs) in dense traffic. This paper proposes a real-time parallel trajectory…

Robotics · Computer Science 2023-09-12 Lei Zheng , Rui Yang , Zengqi Peng , Haichao Liu , Michael Yu Wang , Jun Ma

The emergence of Autonomous Mobility-on-Demand (AMoD) services creates new opportunities to improve the efficiency and reliability of on-demand mobility systems. Unlike human-driven Mobility-on-Demand (MoD), AMoD enables fully centralized…

Emerging Technologies · Computer Science 2026-02-24 Xinling Li , Gioele Zardini

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll