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Trajectory planning in automated driving typically focuses on satisfying safety and comfort requirements within the vehicle's onboard sensor range. This paper introduces a method that leverages anticipatory road data, such as speed limits,…

Systems and Control · Electrical Eng. & Systems 2024-06-26 Andres Alvarez Prado , Vladislav Nenchev , Christian Rathgeber

We formulate an optimization of a bicycle ascent time under the constraints of the average, maximum, and minimum powers. In contrast to the first part of this study, we do not restrict the departure to flying starts with an initial speed…

Classical Physics · Physics 2025-07-28 Len Bos , Michael A. Slawinski , Raphaël A. Slawinski , Theodore Stanoev

Robust optimal or min-max model predictive control (MPC) approaches aim to guarantee constraint satisfaction over a known, bounded uncertainty set while minimizing a worst-case performance bound. Traditionally, these methods compute a…

Systems and Control · Electrical Eng. & Systems 2025-09-04 J. Wehbeh , E. C. Kerrigan

This paper proposes a non-linear Model Predictive Contouring Control (MPCC) for obstacle avoidance in automated vehicles driven at the limit of handling. The proposed controller integrates motion planning, path tracking and vehicle…

Robotics · Computer Science 2023-08-15 Alberto Bertipaglia , Mohsen Alirezaei , Riender Happee , Barys Shyrokau

In this paper, we formulate a novel trajectory optimization scheme that takes into consideration the state uncertainty of the robot and obstacle into its collision avoidance routine. The collision avoidance under uncertainty is modeled here…

Optimization and Control · Mathematics 2018-06-27 Dhaivat Bhatt , Akash Garg , Bharath Gopalakrishnan , K. Madhava Krishna

Robotic systems must be able to quickly and robustly make decisions when operating in uncertain and dynamic environments. While Reinforcement Learning (RL) can be used to compute optimal policies with little prior knowledge about the…

Robotics · Computer Science 2016-09-13 Yunpeng Pan , Xinyan Yan , Evangelos Theodorou , Byron Boots

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

This paper proposes an Adaptive Robust Model Predictive Control strategy for lateral control in lane keeping problems, where we continuously learn an unknown, but constant steering angle offset present in the steering system. Longitudinal…

Systems and Control · Computer Science 2018-12-03 Monimoy Bujarbaruah , Xiaojing Zhang , H. Eric Tseng , Francesco Borrelli

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

In the pursuit of real-time motion planning, a commonly adopted practice is to compute a trajectory by running a planning algorithm on a simplified, low-dimensional dynamical model, and then employ a feedback tracking controller that tracks…

Systems and Control · Computer Science 2019-07-30 Sumeet Singh , Mo Chen , Sylvia L. Herbert , Claire J. Tomlin , Marco Pavone

This paper proposes to combine a 10Hz motion planner based on a kinematic bicycle Model Predictive Control (MPC) and a 100Hz closed-loop Proportional-Integral-Derivative (PID) controller to cope with normal driving situations. Its novelty…

Optimization and Control · Mathematics 2018-04-24 Philip Polack , Florent Altché , Brigitte d'Andréa-Novel , Arnaud de La Fortelle

This work presents a new sufficient condition for synthesizing nonlinear controllers that yield bounded closed-loop tracking error transients despite the presence of unmatched uncertainties that are concurrently being learned online. The…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Samuel G. Gessow , Brett T. Lopez

This paper presents a robust path following control method for vehicles that explicitly considers steering resistance dynamics to improve tracking accuracy. Conventional methods typically treat the steering angle as a direct control input;…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Rentaro Iwai , Natsuki Hikasa , Hiroshi Okajima

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

Drift vehicle control offers valuable insights to support safe autonomous driving in extreme conditions, which hinges on tracking a particular path while maintaining the vehicle states near the drift equilibrium points (DEP). However,…

Robotics · Computer Science 2025-02-10 Bei Zhou , Cheng Hu , Jun Zeng , Zhouheng Li , Johannes Betz , Lei Xie , Hongye Su

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

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

An MPC controller uses a model of the dynamical system to plan an optimal control strategy for a finite horizon, which makes its performance intrinsically tied to the quality of the model. When faults occur, the compromised model will…

Systems and Control · Electrical Eng. & Systems 2026-03-31 David Laranjinho , Daniel Silvestre

In mixed-autonomy traffic networks, autonomous vehicles (AVs) are required to make sequential routing decisions under uncertainty caused by dynamic and heterogeneous interactions with human-driven vehicles (HDVs). Early-stage greedy…

Optimization and Control · Mathematics 2025-05-12 Yu Bai , Yiming Li , Xi Xiong

This paper investigates the problem of trajectory planning for autonomous vehicles at unsignalized intersections, specifically focusing on scenarios where the vehicle lacks the right of way and yet must cross safely. To address this issue,…

Robotics · Computer Science 2025-03-24 Adam Kollarčík adn Zdeněk Hanzálek