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This paper proposes a nonplanar model predictive control (MPC) framework for autonomous vehicles operating on nonplanar terrain. To approximate complex vehicle dynamics in such environments, we develop a geometry-aware modeling approach…

Robotics · Computer Science 2026-02-19 Ahmad Amine , Kabir Puri , Viet-Anh Le , Rahul Mangharam

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang

In this paper, we present a data-driven Model Predictive Controller that leverages a Gaussian Process to generate optimal motion policies for connected autonomous vehicles in regions with uncertainty in the wireless channel. The…

Systems and Control · Electrical Eng. & Systems 2021-06-24 Hassan Jafarzadeh , Cody Fleming

An important issue in model-based control design is that an accurate dynamic model of the system is generally nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Yuhan Liu , Pengyu Wang , Roland Tóth

Over the last few years, sampling-based stochastic optimal control (SOC) frameworks have shown impressive performances in reinforcement learning (RL) with applications in robotics. However, such approaches require a large amount of samples…

Systems and Control · Computer Science 2014-12-10 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

This paper presents an off-policy Gaussian Predictive Control (GPC) framework aimed at solving optimal control problems with a smaller computational footprint, thereby facilitating real-time applicability while ensuring critical safety…

Robotics · Computer Science 2026-03-19 Shiva Kumar Tekumatla , Varun Gampa , Siavash Farzan

Autonomous racing control is a challenging research problem as vehicles are pushed to their limits of handling to achieve an optimal lap time; therefore, vehicles exhibit highly nonlinear and complex dynamics. Difficult-to-model effects,…

Robotics · Computer Science 2023-06-28 Shaoshu Su , Ce Hao , Catherine Weaver , Chen Tang , Wei Zhan , Masayoshi Tomizuka

We propose a modeling framework for stochastic systems, termed Gaussian behaviors, that describes finite-length trajectories of a system as a Gaussian process. The proposed model naturally quantifies the uncertainty in the trajectories, yet…

Systems and Control · Electrical Eng. & Systems 2026-04-02 András Sasfi , Ivan Markovsky , Alberto Padoan , Florian Dörfler

An important issue in quadcopter control is that an accurate dynamic model of the system is nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based estimation is an…

Systems and Control · Electrical Eng. & Systems 2021-12-23 Yuhan Liu , Roland Tóth

This paper addresses autonomous racing by introducing a real-time nonlinear model predictive controller (NMPC) coupled with a moving horizon estimator (MHE). The racing problem is solved by an NMPC-based off-line trajectory planner that…

Optimization and Control · Mathematics 2025-10-08 Yassine Kebbati , Andreas Rauh , Naima Ait-Oufroukh , Dalil Ichalal , Vincent Vigneron

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

We investigate the problem of coordinating human-driven vehicles in road intersections without any traffic lights or signs by issuing speed advices. The vehicles in the intersection are assumed to move along an a priori known path and to be…

Optimization and Control · Mathematics 2019-04-01 Alexander Katriniok , Stefan Kojchev , Erjen Lefeber , Henk Nijmeijer

By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

Optimization and Control · Mathematics 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

This work presents a novel Learning Model Predictive Control (LMPC) strategy for autonomous racing at the handling limit that can iteratively explore and learn unknown dynamics in high-speed operational domains. We start from existing LMPC…

Robotics · Computer Science 2024-08-22 Haoru Xue , Edward L. Zhu , John M. Dolan , Francesco Borrelli

Model Predictive Control (MPC) of an unknown system that is modelled by Gaussian Process (GP) techniques is studied in this paper. Using GP, the variances computed during the modelling and inference processes allow us to take model…

Systems and Control · Computer Science 2016-12-06 Gang Cao , Edmund M-K Lai , Fakhrul Alam

Resolving edge-cases in autonomous driving, head-to-head autonomous racing is getting a lot of attention from the industry and academia. In this study, we propose a game-theoretic model predictive control (MPC) approach for head-to-head…

Robotics · Computer Science 2021-06-09 Chanyoung Jung , Seungwook Lee , Hyunki Seong , Andrea Finazzi , David Hyunchul Shim

This work presents proximally optimal predictive control algorithm, which is essentially a model-based lateral controller for steered autonomous vehicles that selects an optimal steering command within the neighborhood of previous steering…

Robotics · Computer Science 2023-05-16 Chinmay Vilas Samak , Tanmay Vilas Samak , Sivanathan Kandhasamy

Trajectory optimization of a controlled dynamical system is an essential part of autonomy, however many trajectory optimization techniques are limited by the fidelity of the underlying parametric model. In the field of robotics, a lack of…

Systems and Control · Computer Science 2017-02-17 Manan Gandhi , Yunpeng Pan , Evangelos Theodorou

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

Optimization and Control · Mathematics 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

This paper develops a probabilistic anticipation algorithm for dynamic objects observed by an autonomous robot in an urban environment. Predictive Gaussian mixture models are used due to their ability to probabilistically capture continuous…

Robotics · Computer Science 2013-09-04 Frank Havlak , Mark Campbell