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The ability to robustly and efficiently control the dynamics of nonlinear systems lies at the heart of many current technological challenges, ranging from drug delivery systems to ensuring flight safety. Most such scenarios are too complex…

Fluid Dynamics · Physics 2021-02-16 Radu Cimpeanu , Susana N. Gomes , Demetrios T. Papageorgiou

Given a finite-dimensional time continuous control system and $\varepsilon>0$, we address the question of the existence of controls that maintain the corresponding state trajectories in the $\varepsilon$-neighborhood of any prescribed path…

Optimization and Control · Mathematics 2025-11-18 Manuel Rissel , Marius Tucsnak

A complete model of the motion of a quadcopter along a smooth spatial trajectory is presented. Based on the model, a robust algorithm is proposed for controlling a quadcopter using measurements of linear coordinates and yaw angle. By…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Stanislav Kim , Anton Pyrkin , Oleg Borisov

Humans can robustly follow a visual trajectory defined by a sequence of images (i.e. a video) regardless of substantial changes in the environment or the presence of obstacles. We aim at endowing similar visual navigation capabilities to…

Optimal sampled-data control of a nonlinear system is considered with the stable-manifold approach and extensive use of numerical techniques. The idea is to notice the Hamiltonian system associated with the considered optimal control…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Yasuaki Oishi , Noboru Sakamoto

This work presents a distributed method for multi-vehicle coordination based on nonlinear model predictive control (NMPC) and dual decomposition. Our approach allows the vehicles to coordinate in tight spaces (e.g., busy highway lanes or…

Robotics · Computer Science 2024-06-11 Roya Firoozi , Laura Ferranti , Xiaojing Zhang , Sebastian Nejadnik , Francesco Borrelli

Classical penalty methods solve a sequence of unconstrained problems that put greater and greater stress on meeting the constraints. In the limit as the penalty constant tends to $\infty$, one recovers the constrained solution. In the exact…

Numerical Analysis · Mathematics 2012-01-18 Hua Zhou , Kenneth Lange

Underwater vehicles are employed in the exploration of dynamic environments where tuning of a specific controller for each task would be time-consuming and unreliable as the controller depends on calculated mathematical coefficients in…

Systems and Control · Electrical Eng. & Systems 2021-01-14 Wilmer Ariza Ramirez , Zhi Q. Leong , Hung D. Nguyen , S. G. Jayasinghe

We study control systems invariant under a Lie group with application to the problem of nonlinear trajectory planning. A theory of symmetry reduction of exterior differential systems is employed to demonstrate how symmetry reduction and…

Differential Geometry · Mathematics 2015-10-21 Jose De Dona , Naghmana Tehseen , Peter J Vassiliou

In this paper, the problem of tracking desired longitudinal and lateral motions for a vehicle is addressed. Let us point out that a "good" modeling is often quite difficult or even impossible to obtain. It is due for example to parametric…

Systems and Control · Computer Science 2017-05-10 Lghani Menhour , Brigitte d'Andréa-Novel , Michel Fliess , Dominique Gruyer , Hugues Mounier

As the demands of autonomous mobile robots are increasing in recent years, the requirement of the path planning/navigation algorithm should not be content with the ability to reach the target without any collisions, but also should try to…

Robotics · Computer Science 2021-10-05 Jian Zhang

Motion planning for underwater vehicles must consider the effect of ocean currents. We present an efficient method to compute reachability and cost between sample points in sampling-based motion planning that supports long-range planning…

Robotics · Computer Science 2020-05-11 Kwun Yiu Cadmus To , Ki Myung Brian Lee , Chanyeol Yoo , Stuart Anstee , Robert Fitch

The paper describes a receding horizon control design framework for continuous-time stochastic nonlinear systems subject to probabilistic state constraints. The intention is to derive solutions that are implementable in real-time on…

Systems and Control · Computer Science 2012-11-20 Shridhar K. Shah , Herbert G. Tanner , Chetan D. Pahlajani

In this paper, we present a game-theoretic feedback terminal guidance law for an autonomous, unpowered hypersonic pursuit vehicle that seeks to intercept an evading ground target whose motion is constrained in a one-dimensional space. We…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Yoonjae Lee , Efstathios Bakolas , Maruthi R. Akella

Self-navigation in non-coordinating crowded environments is formidably challenging within multi-agent systems consisting of non-holonomic robots operating through local sensing. Our primary objective is the development of a novel, rapid,…

Robotics · Computer Science 2024-01-18 Veejay Karthik J , Leena Vachhani

It is essential in many applications to impose a scalable coordinated motion control on a large group of mobile robots, which is efficient in tasks requiring repetitive execution, such as environmental monitoring. In this paper, we design a…

Robotics · Computer Science 2021-04-12 Weijia Yao , Hector Garcia de Marina , Zhiyong Sun , Ming Cao

The paper deals with the design of nonlinear adaptive cruise controllers for vehicular platoons operating on an open road or a ring-road. The constructed feedback controllers are nonlinear functions of the distance between successive…

Systems and Control · Electrical Eng. & Systems 2020-07-15 Iasson Karafyllis , Dionysis Theodosis , Markos Papageorgiou

In this article we propose a reactive constrained navigation scheme, with embedded obstacles avoidance for an Unmanned Aerial Vehicle (UAV), for enabling navigation in obstacle-dense environments. The proposed navigation architecture is…

Robotics · Computer Science 2022-07-05 Björn Lindqvist , Sina Sharif Mansouri , Jakub Haluška , George Nikolakopoulos

Gaze input, as a modality inherently conveying user intent, offers intuitive and immersive experiences in extended reality (XR). With eye-tracking now being a standard feature in modern XR headsets, gaze has been extensively applied to…

Human-Computer Interaction · Computer Science 2025-10-09 Yichuan Zhang , Liangyuting Zhang , Xuning Hu , Yong Yue , Hai-Ning Liang

This paper presents a novel model-reference reinforcement learning algorithm for the intelligent tracking control of uncertain autonomous surface vehicles with collision avoidance. The proposed control algorithm combines a conventional…

Systems and Control · Electrical Eng. & Systems 2020-08-18 Qingrui Zhang , Wei Pan , Vasso Reppa
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