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We present a heuristic policy and performance bound for risk-sensitive convex stochastic control that generalizes linear-exponential-quadratic regulator (LEQR) theory. Our heuristic policy extends standard, risk-neutral model predictive…

Optimization and Control · Mathematics 2022-05-30 Nicholas Moehle

In this paper, we propose a novel Risk-Aware Local Trajectory Planner (RALTPER) for autonomous vehicles in complex environments characterized by Gaussian uncertainty. The proposed method integrates risk awareness and trajectory planning by…

Robotics · Computer Science 2024-08-13 Cheng Chi

Driving without considering the preferred separation distance from surrounding vehicles may cause discomfort for users. To address this limitation, we propose a planning framework that explicitly incorporates user preferences regarding the…

Robotics · Computer Science 2026-02-10 Yongjae Lim , Dabin Kim , H. Jin Kim

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

This paper presents a disturbance-aware framework that embeds robustness into minimum-lap-time trajectory optimization for motorsport. Two formulations are introduced. (i) Open-loop, horizon-based covariance propagation uses worst-case…

Robotics · Computer Science 2025-06-17 Martino Gulisano , Matteo Masoni , Marco Gabiccini , Massimo Guiggiani

We develop a dynamic trading strategy in the Linear Quadratic Regulator (LQR) framework. By including a price mean-reversion signal into the optimization program, in a trading environment where market impact is linear and stage costs are…

Statistics Theory · Mathematics 2021-11-04 Simon Clinet , Jean-François Perreton , Serge Reydellet

We develop optimal control strategies for autonomous vehicles (AVs) that are required to meet complex specifications imposed as rules of the road (ROTR) and locally specific cultural expectations of reasonable driving behavior. We formulate…

Contact-implicit trajectory optimization offers an appealing method of automatically generating complex and contact-rich behaviors for robot manipulation and locomotion. The scalability of such techniques has been limited, however, by the…

Robotics · Computer Science 2022-08-09 Vince Kurtz , Hai Lin

We present a scalable and effective multi-agent safe motion planner that enables a group of agents to move to their desired locations while avoiding collisions with obstacles and other agents, with the presence of rich obstacles,…

Robotics · Computer Science 2020-12-17 Jingkai Chen , Jiaoyang Li , Chuchu Fan , Brian Williams

For motion planning and control of autonomous vehicles to be proactive and safe, pedestrians' and other road users' motions must be considered. In this paper, we present a vehicle motion planning and control framework, based on Model…

Systems and Control · Computer Science 2019-03-20 Ivo Batkovic , Mario Zanon , Mohammad Ali , Paolo Falcone

In this paper, we study a novel episodic risk-sensitive Reinforcement Learning (RL) problem, named Iterated CVaR RL, which aims to maximize the tail of the reward-to-go at each step, and focuses on tightly controlling the risk of getting…

Machine Learning · Computer Science 2023-05-12 Yihan Du , Siwei Wang , Longbo Huang

Planning time-optimal trajectories for quadrotors in cluttered environments is a challenging, non-convex problem. This paper addresses minimizing the traversal time of a given collision-free geometric path without violating bounds on…

Robotics · Computer Science 2024-09-26 Katherine Mao , Igor Spasojevic , M. Ani Hsieh , Vijay Kumar

In this paper, we introduce a reduced order model-based reinforcement learning (MBRL) approach, utilizing the Iterative Linear Quadratic Regulator (ILQR) algorithm for the optimal control of nonlinear partial differential equations (PDEs).…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Aayushman Sharma , Suman Chakravorty

This paper presents an integrated motion planning system for autonomous vehicle (AV) parking in the presence of other moving vehicles. The proposed system includes 1) a hybrid environment predictor that predicts the motions of the…

Robotics · Computer Science 2022-04-28 Jessica Leu , Yebin Wang , Masayoshi Tomizuka , Stefano Di Cairano

Iterative linear quadradic regulator(iLQR) has become a benchmark method to deal with nonlinear stochastic optimal control problem. However, it does not apply to delay system. In this paper, we extend the iLQR theory and prove new theorem…

Optimization and Control · Mathematics 2020-02-19 Cheng Ju , Yan Qin , Chunjiang Fu

Continuous optimization based motion planners require specifying a maneuver class before calculating the optimal trajectory for that class. In traffic, the intentions of other participants are often unclear, presenting multiple maneuver…

Robotics · Computer Science 2024-10-10 Ömer Şahin Taş , Philipp Heinrich Brusius , Christoph Stiller

We propose a two-phase risk-averse architecture for controlling stochastic nonlinear robotic systems. We present Risk-Averse Nonlinear Steering RRT* (RANS-RRT*) as an RRT* variant that incorporates nonlinear dynamics by solving a nonlinear…

Robotics · Computer Science 2021-09-07 Sleiman Safaoui , Benjamin J. Gravell , Venkatraman Renganathan , Tyler H. Summers

This paper presents a pioneering approach to solving the linear quadratic regulation (LQR) and linear quadratic tracking (LQT) problems with constrained inputs using a novel off-policy continuous-time Q-learning framework. The proposed…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Duc Cuong Nguyen , Quang Huy Dao , Phuong Nam Dao

Overtaking is one of the most challenging tasks in driving, and the current solutions to autonomous overtaking are limited to simple and static scenarios. In this paper, we present a method for behaviour and trajectory planning for safe…

Robotics · Computer Science 2021-11-16 Jiyo Palatti , Andrei Aksjonov , Gokhan Alcan , Ville Kyrki

Human-level autonomous driving is an ever-elusive goal, with planning and decision making -- the cognitive functions that determine driving behavior -- posing the greatest challenge. Despite a proliferation of promising approaches, progress…

Robotics · Computer Science 2025-03-07 Marc Heim , Francisco Suarez-Ruiz , Ishraq Bhuiyan , Bruno Brito , Momchil S. Tomov
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