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We present a framework for bi-level trajectory optimization in which a system's dynamics are encoded as the solution to a constrained optimization problem and smooth gradients of this lower-level problem are passed to an upper-level…

The main contribution of this paper is a novel method for planning globally optimal trajectories for dynamical systems subject to polygonal constraints. The proposed method is a hybrid trajectory planning approach, which combines graph…

Systems and Control · Electrical Eng. & Systems 2021-08-11 Andreas B. Martinsen , Anastasios M. Lekkas , Sebastien Gros

Autonomous racing presents unique challenges due to its non-linear dynamics, the high speed involved, and the critical need for real-time decision-making under dynamic and unpredictable conditions. Most traditional Reinforcement Learning…

Robotics · Computer Science 2025-05-13 Benedict Hildisch , Edoardo Ghignone , Nicolas Baumann , Cheng Hu , Andrea Carron , Michele Magno

Flexible manufacturing processes demand robots to easily adapt to changes in the environment and interact with humans. In such dynamic scenarios, robotic tasks may be programmed through learning-from-demonstration approaches, where a…

Robotics · Computer Science 2019-08-21 Leonel Rozo

This paper proposes a fast and accurate trajectory planning algorithm for autonomous parking. Nominally, an optimal control problem should be formulated to describe this scheme, but the dimensionality of the optimal control problem is…

Robotics · Computer Science 2021-02-04 Bai Li , Tankut Acarman , Qi Kong , Youmin Zhang

We present a modular framework to benchmark new and existing methods for trajectory planning and control in high-acceleration maneuvers that push autonomous driving to the limits. Our framework includes time-optimal raceline generation,…

Motion planning is a key aspect of robotics. A common approach to address motion planning problems is trajectory optimization. Trajectory optimization can represent the high-level behaviors of robots through mathematical formulations.…

Robotics · Computer Science 2024-08-21 Fatemeh Rastgar

Iterative trajectory optimization techniques for non-linear dynamical systems are among the most powerful and sample-efficient methods of model-based reinforcement learning and approximate optimal control. By leveraging time-variant local…

Systems and Control · Electrical Eng. & Systems 2019-08-01 Onur Celik , Hany Abdulsamad , Jan Peters

The development of autonomous driving has boosted the research on autonomous racing. However, existing local trajectory planning methods have difficulty planning trajectories with optimal velocity profiles at racetracks with sharp corners,…

Robotics · Computer Science 2025-03-07 Zhouheng Li , Bei Zhou , Cheng Hu , Lei Xie , Hongye Su

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

This paper proposes an inverse optimal control method which enables a robot to incrementally learn a control objective function from a collection of trajectory segments. By saying incrementally, it means that the collection of trajectory…

Robotics · Computer Science 2022-02-03 Zihao Liang , Wanxin Jin , Shaoshuai Mou

The widespread application of autonomous driving technology has significantly advanced the field of autonomous racing. Model Predictive Contouring Control (MPCC) is a highly effective local trajectory planning method for autonomous racing.…

Robotics · Computer Science 2025-03-25 Zhouheng Li , Lei Xie , Cheng Hu , Hongye Su

This paper presents an adaptive lookahead pure-pursuit lateral controller for optimizing racing metrics such as lap time, average lap speed, and deviation from a reference trajectory in an autonomous racing scenario. We propose a greedy…

Robotics · Computer Science 2021-11-18 Varundev Sukhil , Madhur Behl

Training machine learning models inherently involves a resource-intensive and noisy iterative learning procedure that allows epoch-wise monitoring of the model performance. However, the insights gained from the iterative learning procedure…

Machine Learning · Computer Science 2025-05-22 Wenyu Wang , Zheyi Fan , Szu Hui Ng

We address the decision-making capability within an end-to-end planning framework that focuses on motion prediction, decision-making, and trajectory planning. Specifically, we formulate decision-making and trajectory planning as a…

Robotics · Computer Science 2024-12-03 Wenru Liu , Yongkang Song , Chengzhen Meng , Zhiyu Huang , Haochen Liu , Chen Lv , Jun Ma

Trajectory sampling in the Frenet(road-aligned) frame, is one of the most popular methods for motion planning of autonomous vehicles. It operates by sampling a set of behavioural inputs, such as lane offset and forward speed, before solving…

Robotics · Computer Science 2023-10-24 Jatan Shrestha , Simon Idoko , Basant Sharma , Arun Kumar Singh

Personalization is crucial for the widespread adoption of advanced driver assistance system. To match up with each user's preference, the online evolution capability is a must. However, conventional evolution methods learn from naturalistic…

Machine Learning · Computer Science 2025-07-15 Jia Hu , Mingyue Lei , Haoran Wang , Zeyu Liu , Fan Yang

We consider joint trajectory generation and tracking control for under-actuated robotic systems. A common solution is to use a layered control architecture, where the top layer uses a simplified model of system dynamics for trajectory…

Robotics · Computer Science 2023-07-27 Anusha Srikanthan , Fengjun Yang , Igor Spasojevic , Dinesh Thakur , Vijay Kumar , Nikolai Matni

Motion planning for autonomous vehicles requires spatio-temporal motion plans (i.e. state trajectories) to account for dynamic obstacles. This requires a trajectory tracking control process which faithfully tracks planned trajectories. In…

Robotics · Computer Science 2018-11-13 Peng Liu , Brian Paden , Umit Ozguner

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Tianqi Zheng , John Simpson-Porco , Enrique Mallada