Hybrid modeling has gained substantial traction due to its capacity to combine machine learning techniques with the preservation of the model's physical essence. While these hybrid models have primarily tackled te...
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ISBN:
(数字)9798350382655
ISBN:
(纸本)9798350382662
Hybrid modeling has gained substantial traction due to its capacity to combine machine learning techniques with the preservation of the model's physical essence. While these hybrid models have primarily tackled temporal processes governed by ordinary differential equations (ODEs), the complexity of many real-world systems - mirroring diverse physical processes - surpasses this scope. This work examines hybrid modeling methods extensively applied to an intricate biological system governed by the reaction-diffusion equation, which is a partial differential equation (PDE), targeting the challenges arising from latent chemical mechanisms. The methodology introduces a hybrid modeling architecture that synergizes neural networks and mathematical methods to estimate varying parameters across both space and time within a class of moving boundary problems like reaction-diffusion, all while upholding boundary conditions. The training of the model is done using a backpropagation algorithm that efficiently updates these parameters while ensuring numerical stability. The hybrid model is applied to Reaction-Diffusion models, and the results discuss the accurate estimation of spatiotemporally varying diffusivity, and temporally varying cell proliferation rate and cell carrying density.
Fuzzy time series have demonstrated considerable prowess in addressing nebulous and indeterminate data. In order to enhance the predictive accuracy of the model, this research integrates fixed-point theory with time s...
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ISBN:
(数字)9798331504755
ISBN:
(纸本)9798331504762
Fuzzy time series have demonstrated considerable prowess in addressing nebulous and indeterminate data. In order to enhance the predictive accuracy of the model, this research integrates fixed-point theory with time series analysis, introducing the concepts of fractional functions, inverse fractional functions, and predictive functions, while also demonstrating the convergence of these predictive functions. Building on this foundation, the paper further refines the theory of fuzzy time series by establishing a fixed-point-based fuzzy time series model, which has been applied to forecast the enrollment numbers at the University of Alabama and the sales volume of new energy vehicles in China. The prediction results showed the models high accuracy, robust theoretical foundations, and broad applicability.
This article provides a comparative analysis of gradient descent and natural gradient descent in its own implementation in terms of accuracy and convergence rate on various data sets. The results of the experiments ob...
This article provides a comparative analysis of gradient descent and natural gradient descent in its own implementation in terms of accuracy and convergence rate on various data sets. The results of the experiments obtained make it possible to compare the effectiveness of both methods both in terms of classical metrics for evaluating mathematical models, and in terms of convergence rate and learning time. The findings of the study help to choose the optimal optimization method, depending on the requirements for accuracy and speed of work when building mathematical models
In increasingly complexsystems, it is becoming increasingly difficult to accurately identify the location of failures and the extent of their effects. Chaos engineering is a method to improve the reliability of the s...
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ISBN:
(数字)9788993215380
ISBN:
(纸本)9798331517939
In increasingly complexsystems, it is becoming increasingly difficult to accurately identify the location of failures and the extent of their effects. Chaos engineering is a method to improve the reliability of the system by causing failures to reveal the problems. In this study, we propose a method of reset control that suppresses the failure of a pneumatic control valve by simulating the failure of the valve, incorporating the concept of chaos engineering. In this study, in order to study a new control method for the control parts of the positioner, simulations are shown in which a chaotic signal is superimposed as a simulated disturbance on the input signal of a mathematical model of a pneumatic control valve with an electronic positioner. As an appropriate control method for control parts of the positioner, we apply the reset control, which autonomously generates pulses from the control deviation as a feedback control. The parameters of the reset control are adjusted for this model, and the simulation results show this reset control with these parameters can suppress failures caused by the superimposition of simulated chaotic signals.
This paper introduces NeuroPhysNet, a novel hybrid neural network architecture designed for enhanced prediction and control of cyber-physical systems (CPS). The increasing complexity and dynamic nature of CPS present ...
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With the imminent integration of Advanced Air Mobility (AAM) into the national airspace, ensuring the robustness of flight controllers in spatially congested metropolitan areas and in the presence of external disturba...
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ISBN:
(数字)9798331513283
ISBN:
(纸本)9798331513290
With the imminent integration of Advanced Air Mobility (AAM) into the national airspace, ensuring the robustness of flight controllers in spatially congested metropolitan areas and in the presence of external disturbances is of paramount importance. The complex interaction between atmospheric turbulence and tall buildings further exacerbates the effects of wind disturbances, posing significant safety challenges to aircraft stability and trajectory tracking. This study employs the high-fidelity urban wind field model using Computational Fluid Dynamics (CFD) which captures wind variations in urban environments. This model quantifies wind shear intensity and vorticity distributions, which are critical factors affecting flight performance. The failure of an autonomous fixed-wing aircraft to maintain its intended flight path within permissible deviation limits under extreme wind conditions is investigated. To address these challenges, a robust flight control system is developed to enhance trajectory tracking performance and mitigate the adverse effects of wind on the path following. The proposed controller is designed to ensure reliable operation despite the unpredictability of urban wind fields, contributing to safer and more resilient autonomous flight operations in complex metropolitan airspaces.
With the large-scale integration of distributed Photovoltaics (PV) and other renewable energy sources into the distribution grid, the proportion of grid-following inverters and nonlinear power electronic devices is co...
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ISBN:
(数字)9798350375855
ISBN:
(纸本)9798350375862
With the large-scale integration of distributed Photovoltaics (PV) and other renewable energy sources into the distribution grid, the proportion of grid-following inverters and nonlinear power electronic devices is continuously increasing. Current modeling of grid-following inverters presents two main issues: first, the derivation process is lengthy and error-prone, making it unsuitable for modelingcomplexcontrolsystems; second, the lack of precision can lead to incorrect stability assessments. To address these issues, this paper proposes a simplified admittance modeling method for PV inverters that considers frequency coupling between the AC side and the AC-DC interface. Based on this method, a positive and negative sequence admittance model for a three-phase single-stage grid-tied PV inverter is established, and the admittance analytical model is validated through simulations using PSCAD/EMTDC. Additionally, the impacts of the proportional and integral coefficients of the outer DC voltage loop and the current inner loops on impedance characteristics are analyzed in detail.
In this article, we study model-based Heavy-Duty Electric Vehicle (HDEV) range maximization under bounds for the discharge current, as imposed by the onboard Battery Management System (BMS). We present a computational...
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ISBN:
(数字)9798350373905
ISBN:
(纸本)9798350373912
In this article, we study model-based Heavy-Duty Electric Vehicle (HDEV) range maximization under bounds for the discharge current, as imposed by the onboard Battery Management System (BMS). We present a computational optimization framework that facilitates design of optimal controls for battery Equivalent Circuit Models (ECM) of different fidelities. The objective is to compare the different model predictions and assess the efficacy of simple control laws relative to more complex ones that attempt to exploit the battery's modeled characteristics. We confine our attention to windless flat-track conditions to isolate the effect of the Battery Energy System (BES). In numerical simulations, we focus on Lithium-Titanate Oxide (LTO) batteries, which have been found prime candidates for HDEV applications. The results show that the maximum range predictions, and the associated optimal control policies, depend substantially on the ECM utilized. However, for all models, good maximal range predictions are also obtained by using simple constant controls. This is consistent with Keller's theory of optimal pacing.
In a TCP/IP network, the TCP congestion control system (CC) ensures that network resources are shared efficiently and fairly between its users. Previously, TCP CC systems have been designed to cable hard from predefin...
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Nowadays, distributed systems consisting of a large number of simple devices are used to perform complex operations rather than advanced devices alone. Particularly, networked systems of nanoscale devices are called I...
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