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Since physical theories employ mathematical models to describe and predict physical phenomena, our knowledge depends on the models available to that end. To increase their scope we present a particular type of simplified models, serial…

Classical Physics · Physics 2021-07-29 Marijan Ribaric , Luka Sustersic

While Approximate Dynamic Programming has successfully been used in many applications involving discrete states and inputs such as playing the games of Tetris or chess, it has not been used in many continuous state and input space…

Systems and Control · Computer Science 2019-02-19 Angel Romero , Paul N. Beuchat , Yvonne R. Stürz , Roy S. Smith , John Lygeros

In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow. The microscopic model is…

Numerical Analysis · Mathematics 2016-12-14 Antoine Tordeux , Guillaume Costeseque , Michael Herty , Armin Seyfried

Engineering and applied sciences use models of increasing complexity to simulate the behaviour of manufactured and physical systems. Propagation of uncertainties from the input to a response quantity of interest through such models may…

Computation · Statistics 2016-06-29 K. Konakli , B. Sudret

This paper proposes an adaptive lattice-based motion planning solution to address the problem of generating feasible trajectories for systems, represented by a linearly parameterizable non-linear model operating within a cluttered…

Robotics · Computer Science 2025-08-20 Abhishek Dhar , Sarthak Mishra , Spandan Roy , Daniel Axehill

The control of small-scale helicopter is a MIMO problem. To use of classical control approach to formally solve a MIMO problem, one needs to come up with multidimensional Root Locus diagram to tune the control parameters. The problem with…

Robotics · Computer Science 2008-07-01 A. Budiyono , T. Sudiyanto

This paper demonstrates the applicability of the safe model predictive control (SMPC) framework to autonomous driving scenarios, focusing on the design of adaptive cruise control (ACC) and automated lane-change systems. Building on the SMPC…

Systems and Control · Electrical Eng. & Systems 2025-05-12 Francesco Prignoli , Ying Shuai Quan , Mohammad Jeddi , Jonas Sjöberg , Paolo Falcone

Nonequilibrium electron dynamics in solids is an important subject from both fundamental and technological points of view. The recent development of laser technology has enabled us to study ultrafast electron dynamics in the time domain.…

Materials Science · Physics 2020-11-04 Shunsuke A. Sato

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

Systems and Control · Computer Science 2023-08-01 Ronan Keane , H. Oliver Gao

In this paper, a sampling-based Stochastic Model Predictive Control algorithm is proposed for discrete-time linear systems subject to both parametric uncertainties and additive disturbances. One of the main drivers for the development of…

Dynamical systems describe the changes in processes that arise naturally from their underlying physical principles, such as the laws of motion or the conservation of mass, energy or momentum. These models facilitate a causal explanation for…

Methodology · Statistics 2023-10-11 Michelle Carey , James O. Ramsay

In many recent applications when new materials and technologies are developed it is important to describe and simulate new nonlinear and nonlocal diffusion transport processes. A general class of such models deals with nonlocal fractional…

Numerical Analysis · Mathematics 2024-12-20 Raimondas Ciegis , Petr Vabishchevich

Model Predictive Control (MPC) is among the most widely adopted and reliable methods for robot control, relying critically on an accurate dynamics model. However, existing dynamics models used in the gradient-based MPC are limited by…

Robotics · Computer Science 2025-08-11 Jan Węgrzynowski , Piotr Kicki , Grzegorz Czechmanowski , Maciej Krupka , Krzysztof Walas

A classical reduced order model for dynamical problems involves spatial reduction of the problem size. However, temporal reduction accompanied by the spatial reduction can further reduce the problem size without losing accuracy much, which…

Numerical Analysis · Mathematics 2019-10-04 Youngsoo Choi , Peter Brown , Bill Arrighi , Robert Anderson

This contribution relates to the simulation of the flow around the tip of a helicopter rotor blade in hovering flight conditions. We here propose a new methodology of framework adaptation, using a comprehensive rotor code and high-fidelity…

Fluid Dynamics · Physics 2018-05-02 Antoine Joulain , Damien Desvigne , David Alfano , Thomas Leweke

In trajectory planning and control design for unmanned air vehicles, highly simplified models are typically used to represent the vehicle dynamics and the operating environment. The goal of this work is to perform real-time, but realistic…

Fluid Dynamics · Physics 2019-02-06 Behdad Davoudi , Ehsan Taheri , Karthik Duraisamy , Balaji Jayaraman , Ilya Kolmanovsky

Since the expense of the numerical integration of large scale dynamical systems is often computationally prohibitive, model reduction methods, which approximate such systems by simpler and much lower order ones, are often employed to reduce…

Numerical Analysis · Mathematics 2018-10-25 Yuto Miyatake

This paper presents a review of the design and application of model predictive control strategies for Micro Aerial Vehicles and specifically multirotor configurations such as quadrotors. The diverse set of works in the domain is organized…

Robotics · Computer Science 2020-11-24 Huan Nguyen , Mina Kamel , Kostas Alexis , Roland Siegwart

A general controller scheme for stabilizing a non-linear system, which has its origin from the linear system theory, is proposed in this paper. The proposed controller can stabilize the non-linear system subjected to initial conditions. An…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Justin Jacob , Navin Khaneja

This book provides a solution to the control and motion planning design for an octocopter system. It includes a particular choice of control and motion planning algorithms which is based on the authors' previous research work, so it can be…

Robotics · Computer Science 2022-12-05 Nedim Osmic , Adnan Tahirovic , Bakir Lacevic
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