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We present an algorithm, based on the Differential Dynamic Programming framework, to handle trajectory optimization problems in which the horizon is determined online rather than fixed a priori. This algorithm exhibits exact one-step…

Robotics · Computer Science 2021-11-18 Kyle Stachowicz , Evangelos A. Theodorou

In this work the problem of path planning for an autonomous vehicle that moves on a freeway is considered. The most common approaches that are used to address this problem are based on optimal control methods, which make assumptions about…

Robotics · Computer Science 2020-02-19 Konstantinos Makantasis , Maria Kontorinaki , Ioannis Nikolos

Predicting travel times of vehicles in urban settings is a useful and tangible quantity of interest in the context of intelligent transportation systems. We address the problem of travel time prediction in arterial roads using data sampled…

Artificial Intelligence · Computer Science 2017-11-17 Avinash Achar , Venkatesh Sarangan , R Rohith , Anand Sivasubramaniam

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

Optimization and Control · Mathematics 2010-02-11 Nadir Farhi

This paper presents a data-driven optimal control policy for a micro flapping wing unmanned aerial vehicle. First, a set of optimal trajectories are computed off-line based on a geometric formulation of dynamics that captures the nonlinear…

Robotics · Computer Science 2022-06-09 Tejaswi K. C. , Taeyoung Lee

World models have gained significant attention as a promising approach for autonomous driving. By emulating human-like perception and decision-making processes, these models can predict and adapt to dynamic environments. Existing methods…

Robotics · Computer Science 2025-12-03 Huiqian Li , Wei Pan , Haodong Zhang , Jin Huang , Zhihua Zhong

In this report, we apply the proposed "para-model" framework in order to control the trajectory of a dynamical system-based robot. The optimization of the dynamical performances in closed-loop is performed using a derivative-free…

Systems and Control · Computer Science 2016-10-04 Loïc Michel

Reverse parking maneuvers of a vehicle with trailer system is a challenging task to complete for human drivers due to the unstable nature of the system and unintuitive controls required to orientate the trailer properly. This paper hence…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Xincheng Cao , Haochong Chen , Bilin Aksun-Guvenc , Levent Guvenc , Brian Link , Peter J Richmond , Dokyung Yim , Shihong Fan , John Harber

Mathematical modelling is a cornerstone of computational biology. While mechanistic models might describe the interactions of interest of a system, they are often difficult to study. On the other hand, abstract models might capture key…

Dynamical Systems · Mathematics 2025-05-01 Lucas Jesus Morales-Moya

This paper proposes online sampling in the parameter space of a neural network for GPU-accelerated motion planning of autonomous vehicles. Neural networks are used as controller parametrization since they can handle nonlinear non-convex…

Robotics · Computer Science 2019-04-16 Mogens Graf Plessen

The paper is devoted to a free-time optimal control problem for sweeping processes. We develop a constructive finite-difference approximation procedure that allows us to establish necessary optimality conditions for discrete optimal…

Optimization and Control · Mathematics 2021-05-11 Tan H. Cao , Nathalie T. Khalil , Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen , Fernando Lobo Pereira

Consider a dynamical system $u \mapsto x, \dot{x} = f_{nl}(x,u)$ where $f_{nl}$ is a nonlinear (convex or nonconvex) function, or a combination of nonlinear functions that can eventually switch. We present, in this preliminary work, a…

Optimization and Control · Mathematics 2018-03-13 Loïc Michel

In this paper, we propose an integrated dynamical model of Connected and Automated Vehicles (CAVs) which incorporates CAV technologies and a microscopic car-following model to improve safety, efficiency and convenience. We rigorously…

Dynamical Systems · Mathematics 2024-05-28 H. Nick Zinat Matin , Y. Yeo , X. Gong , M. L. Delle Monache

When a vehicle drives on the road, its behaviors will be affected by surrounding vehicles. Prediction and decision should not be considered as two separate stages because all vehicles make decisions interactively. This paper constructs the…

Artificial Intelligence · Computer Science 2023-02-09 Xujie Song , Zexi Lin

This paper presents a framework for real-time optimal controlling of a heavy-duty skid-steered mobile platform for trajectory tracking. The importance of accurate real-time performance of the controller lies in safety considerations of…

Robotics · Computer Science 2025-10-06 Alvaro Paz , Pauli Mustalahti , Mohammad Dastranj , Jouni Mattila

Perimeter control maintains high traffic efficiency within protected regions by controlling transfer flows among regions to ensure that their traffic densities are below critical values. Existing approaches can be categorized as either…

Machine Learning · Computer Science 2023-06-01 Xiaocan Li , Ray Coden Mercurius , Ayal Taitler , Xiaoyu Wang , Mohammad Noaeen , Scott Sanner , Baher Abdulhai

This paper presents a review of the design and application of model predictive control strategies for Micro Aerial Vehicles and specifically multirotor configurations such as quadrotors. The diverse set of works in the domain is organized…

Robotics · Computer Science 2020-11-24 Huan Nguyen , Mina Kamel , Kostas Alexis , Roland Siegwart

This paper addresses novel applications to practical modeling of the newly developed theory of necessary optimality conditions in controlled sweeping/Moreau processes with free time and pointwise control and state constraints. Problems of…

Optimization and Control · Mathematics 2023-11-23 Boris S. Mordukhovich , Dao Nguyen , Trang Nguyen

This paper presents a novel approach to modeling human driving behavior, designed for use in evaluating autonomous vehicle control systems in a simulation environments. Our methodology leverages a hierarchical forward-looking, risk-aware…

Robotics · Computer Science 2024-08-20 Nathan Ludlow , Yiwei Lyu , John Dolan

A popular way to plan trajectories in dynamic urban scenarios for Autonomous Vehicles is to rely on explicitly specified and hand crafted cost functions, coupled with random sampling in the trajectory space to find the minimum cost…

Robotics · Computer Science 2022-10-14 Shubhankar Agarwal , Harshit Sikchi , Cole Gulino , Eric Wilkinson , Shivam Gautam