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This paper concerns an application of a recently-developed nonlinear tracking technique to trajectory control of autonomous vehicles at traffic intersections. The technique uses a flow version of the Newton-Raphson method for controlling a…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Shashwat Shivam , Yorai Wardi , Magnus Egerstedt , Aris Kanellopoulos , Kyriakos G. Vamvoudakis

This paper presents a control technique for output tracking of reference signals in continuous-time dynamical systems. The technique is comprised of the following three elements: (i) output prediction which has to track the reference…

Optimization and Control · Mathematics 2019-10-03 Yorai Wardi , Carla Seatzu , Jorge Cortes , Magnus Egerstedt , Shashwat Shivam , Ian Buckley

We investigate the performance of a lightweight tracking controller, based on a flow version of the Newton-Raphson method, applied to a miniature blimp and a mid-size quadrotor. This tracking technique admits theoretical performance…

Robotics · Computer Science 2026-03-27 Evanns Morales-Cuadrado , Luke Baird , Yorai Wardi , Samuel Coogan

This paper studies the $\alpha$-stability property of differentially flat nonlinear dynamical systems. The results build off the recently introduced notion of $\alpha$-stability, which is particularly amenable to characterize the ability of…

Dynamical Systems · Mathematics 2026-05-29 Aadila Ali Sabry , Gennaro Notomista

We apply the Newton-Raphson flow tracking controller to aggressive quadrotor flight and demonstrate that it achieves good tracking performance over a suite of benchmark trajectories, beating the native trajectory tracking controller in the…

Robotics · Computer Science 2025-08-21 Evanns Morales-Cuadrado , Christian Llanes , Yorai Wardi , Samuel Coogan

The Newton-Raphson Controller, established on the output prediction and the Newton-Raphson algorithm, is shown to be effective in a variety of control applications. Although the stability condition of the controller for linear systems has…

Systems and Control · Electrical Eng. & Systems 2025-08-19 Kaicheng Niu , Yorai Wardi , Chaouki T. Abdallah

Newton-Raphson controller is a powerful prediction-based variable gain integral controller. Basically, the classical model-based Newton-Raphson controller requires two elements: the prediction of the system output and the derivative of the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Mi Zhou

This paper proposes a specialized autonomous driving system that takes into account the unique constraints and characteristics of automotive systems, aiming for innovative advancements in autonomous driving technology. The proposed system…

Robotics · Computer Science 2023-12-18 Eunbin Seo , Gwanjun Shin , Eunho Lee

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

Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly.…

A novel learning Model Predictive Control technique is applied to the autonomous racing problem. The goal of the controller is to minimize the time to complete a lap. The proposed control strategy uses the data from previous laps to improve…

Machine Learning · Computer Science 2017-11-10 Ugo Rosolia , Ashwin Carvalho , Francesco Borrelli

We present an approach to path following using so-called control funnel functions. Synthesizing controllers to "robustly" follow a reference trajectory is a fundamental problem for autonomous vehicles. Robustness, in this context, requires…

Robotics · Computer Science 2018-08-06 Hadi Ravanbakhsh , Sina Aghli , Christoffer Heckman , Sriram Sankaranarayanan

We propose a method to compute optimal control paths for autonomous vehicles deployed for the purpose of inferring a velocity field. In addition to being advected by the flow, the vehicles are able to effect a fixed relative speed with…

Optimization and Control · Mathematics 2015-12-09 Damon McDougall , Richard Moore

Motion detection is a fundamental but challenging task for autonomous driving. In particular scenes like highway, remote objects have to be paid extra attention for better controlling decision. Aiming at distant vehicles, we train a neural…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Ka Man Lo

In the path planning problem of autonomous application, the existing studies separately consider the path planning and trajectory tracking control of the autonomous vehicle and few of them have integrated the trajectory planning and…

Robotics · Computer Science 2019-05-10 Chao Huang , Boyuan Li , Masako Kishida

The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

Optimization and Control · Mathematics 2023-02-27 Benedetto Piccoli

To improve safety and energy efficiency, autonomous vehicles are expected to drive smoothly in most situations, while maintaining their velocity below a predetermined speed limit. However, some scenarios such as low road adherence or…

Systems and Control · Computer Science 2017-04-05 Florent Altché , Philip Polack , Arnaud de la Fortelle

This paper presents a -- Learning from Demonstration -- method to perform robot movement trajectories that can be defined as you go. This way unstructured tasks can be performed, without the need to know exactly all the tasks and start and…

Robotics · Computer Science 2020-10-16 Luis Trucios , Mahdi Tavakoli , Kim Adams

As the potential for autonomous vehicles to be integrated on a large scale into modern traffic systems continues to grow, ensuring safe navigation in dynamic environments is crucial for smooth integration. To guarantee safety and prevent…

Autonomous racing is a research field gaining large popularity, as it pushes autonomous driving algorithms to their limits and serves as a catalyst for general autonomous driving. For scaled autonomous racing platforms, the computational…

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