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A fundamental challenge in learning to control an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. In this work, we formulate a mathematical definition of what it means to safely learn…

最优化与控制 · 数学 2020-11-25 Amir Ali Ahmadi , Abraar Chaudhry , Vikas Sindhwani , Stephen Tu

We consider a discrete-time dynamical system in a car-following context. The system was recently introduced to parsimoniously model human driving behavior based on utility maximization. The parameters of the model were calibrated using…

系统与控制 · 电气工程与系统科学 2025-09-16 Suzhou Huang , Jian Hu

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

最优化与控制 · 数学 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

In the real-world, self-driving vehicles are required to achieve steering maneuvers in both uncontrolled and uncertain environments while maintaining high levels of safety and passengers' comfort. Ignoring these requirements would…

系统与控制 · 电气工程与系统科学 2020-03-16 Yasir K. Al-Nadawi , Hothaifa Al-Qassab , Daniel Kent , Su Pang , Vaibhav Srivastava , Hayder Radha

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

动力系统 · 数学 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

机器人学 · 计算机科学 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

Safety validation of autonomous driving systems is extremely challenging due to the high risks and costs of real-world testing as well as the rarity and diversity of potential failures. To address these challenges, we train a denoising…

机器人学 · 计算机科学 2025-06-11 Juanran Wang , Marc R. Schlichting , Harrison Delecki , Mykel J. Kochenderfer

This paper proposes a novel framework for the distributionally robust input and state estimation (DRISE) for autonomous vehicles operating under model uncertainties and measurement outliers. The proposed framework improves the input and…

最优化与控制 · 数学 2025-04-15 Kasra Azizi , Kumar Anurag , Wenbin Wan

In this document, we deal with the stabilization problem of slow-fast systems (or singularly perturbed Ordinary Differential Equations) at a non-hyperbolic point. The class of systems studied here have the following properties: 1) they have…

系统与控制 · 计算机科学 2017-04-26 H. Jardon-Kojakhmetov , Jacquelien M. A. Scherpen , D. del Puerto-Flores

Differential flatness serves as a powerful tool for controlling continuous time nonlinear systems in problems such as motion planning and trajectory tracking. A similar notion, called difference flatness, exists for discrete-time systems.…

系统与控制 · 电气工程与系统科学 2025-11-17 Ashutosh Jindal , Florentina Nicolau , David Martin Diego , Ravi Banavar

Recently, a framework for controller design of sampled-data nonlinear systems via their approximate discrete-time models has been proposed in the literature. In this paper we develop novel tools that can be used within this framework and…

最优化与控制 · 数学 2007-05-23 Dragan Nesic , Antonio Loria

Deep neural network controllers for autonomous driving have recently benefited from significant performance improvements, and have begun deployment in the real world. Prior to their widespread adoption, safety guarantees are needed on the…

机器学习 · 计算机科学 2019-09-24 Rhiannon Michelmore , Matthew Wicker , Luca Laurenti , Luca Cardelli , Yarin Gal , Marta Kwiatkowska

In this paper we first study the fixed-time stabilizability of discrete-time switched linear control systems. Using a geometric approach, we derive conditions under which such systems can be stabilized within a prescribed number of steps,…

最优化与控制 · 数学 2026-04-30 Picchiotti Flavio , Thiago Alves Lima , Girard Antoine

In this paper, we develop a mechanical system inspired microscopic traffic model to characterize the longitudinal interaction dynamics among a chain of vehicles. In particular, we extend our prior work on mass-spring-damper-clutch based…

系统与控制 · 电气工程与系统科学 2020-12-08 Mohammad R. Hajidavalloo , Zhaojian Li , Dong Chen , Ali Louati , Shuo Feng , Wubing B. Qin

This paper introduces an optimization problem (P) and a solution strategy to design variable-speed-limit controls for a highway that is subject to traffic congestion and uncertain vehicle arrival and departure. By employing a finite…

最优化与控制 · 数学 2020-09-08 Dan Li , Dariush Fooladivanda , Sonia Martinez

Stability guarantees are crucial when ensuring a fully autonomous robot does not take undesirable or potentially harmful actions. Unfortunately, global stability guarantees are hard to provide in dynamical systems learned from data,…

Stabilizing vertical dynamics for on-road and off-road vehicles is an important research area that has been looked at mostly from the point of view of ride comfort. The advent of autonomous vehicles now shifts the focus more towards…

机器人学 · 计算机科学 2024-09-24 Ameya Salvi , John Coleman , Jake Buzhardt , Venkat Krovi , Phanindra Tallapragada

Precise vehicle state estimation is crucial for safe and reliable autonomous driving. The number of measurable states and their precision offered by the onboard vehicle sensor system are often constrained by cost. For instance, measuring…

Learning stable dynamics from observed time-series data is an essential problem in robotics, physical modeling, and systems biology. Many of these dynamics are represented as an inputs-output system to communicate with the external…

动力系统 · 数学 2023-01-18 Yuji Okamoto , Ryosuke Kojima

Modeling dynamics is often the first step to making a vehicle autonomous. While on-road autonomous vehicles have been extensively studied, off-road vehicles pose many challenging modeling problems. An off-road vehicle encounters highly…