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Mathematics
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Modeling and Simulation in Engineering, 3rd Edition
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Modeling and Simulation in Engineering, 3rd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 9424

Special Issue Editors

Prof. Dr. Camelia Petrescu

E-Mail Website
Guest Editor
Department of Electrical Engineering, Technical University of Iasi, 700050 Iasi, Romania
Interests: finite element analysis; modeling and simulation; electrical engineering
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Valeriu David

E-Mail Website
Guest Editor
Department of Electrical Measurements and Materials, Faculty of Electrical Engineering, “Gheorghe Asachi” Technical University of Iasi, 700050 Iasi, Romania
Interests: measurements; survey of electric and magnetic fields; electromagnetic interference; biomedical measurements
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Advances in Information Technology and Computer Science in the last few decades have simplified the work of engineers in the design of new devices and systems, making modeling and simulation (M&S) a mandatory stage prior to the experimental setup. Thus, M&S has become part of the engineering culture.

This Special Issue is focused on presenting original research concerning mathematical models and simulation results based on advanced computer software.

The topics include, but are not limited to, the following:

  • Modeling in mathematical physics;
  • Behavioral analogies between different branches of physics;
  • Simulation software;
  • Numerical methods for partial differential equations;
  • Optimization methods;
  • Coupled problems;
  • Modeling, simulation and optimization of electromagnetic devices;
  • Simulation and optimization of electrical circuits;
  • Decision support systems;
  • Defining synthetic environments for engineering problems;
  • Design of experiments;
  • Models of measurement techniques;
  • Computational processes in modeling and simulation.

Prof. Dr. Camelia Petrescu
Prof. Dr. Valeriu David
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • simulation software
  • numerical solutions of multi-physics problems
  • advanced designing methods
  • models and analysis of electromagnetic devices
  • design of experiments and measurement techniques

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Further information on MDPI's Special Issue polices can be found here.

Related Special Issue

Published Papers (7 papers)

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Research

13 pages, 5557 KiB  
Article
Second-Order Terminal Sliding Mode Control for Trajectory Tracking of a Differential Drive Robot
by Tuan Ngoc Tran Cao, Binh Thanh Pham, No Tan Nguyen, Duc-Lung Vu and Nguyen-Vu Truong
Mathematics 2024, 12(17), 2657; https://doi.org/10.3390/math12172657 - 27 Aug 2024
Viewed by 583
Abstract
This paper proposes a second-order terminal sliding mode (2TSM) approach to the trajectory tracking of the differential drive mobile robot (DDMR). Within this cascaded control scheme, the 2TSM dynamic controller, at the innermost loop, tracks the robot’s velocity quantities while a kinematic controller, [...] Read more.
This paper proposes a second-order terminal sliding mode (2TSM) approach to the trajectory tracking of the differential drive mobile robot (DDMR). Within this cascaded control scheme, the 2TSM dynamic controller, at the innermost loop, tracks the robot’s velocity quantities while a kinematic controller, at the outermost loop, regulates the robot’s positions. In this manner, chattering is greatly attenuated, and finite-time convergence is guaranteed by the second-order TSM manifold, which involves higher-order derivatives of the state variables, resulting in an inherently robust as well as fast and better tracking precision. The simulation results demonstrate the merit of the proposed control methods. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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14 pages, 2173 KiB  
Article
Backstepping and Novel Sliding Mode Trajectory Tracking Controller for Wheeled Mobile Robots
by Hangjie Huang and Jinfeng Gao
Mathematics 2024, 12(10), 1458; https://doi.org/10.3390/math12101458 - 8 May 2024
Cited by 1 | Viewed by 1001
Abstract
A novel variable structure controller based on sliding mode is developed for addressing the trajectory tracking challenge encountered by wheeled mobile robots. Firstly, the trajectory tracking error model under the global coordinate system is established according to the kinematic model of the wheeled [...] Read more.
A novel variable structure controller based on sliding mode is developed for addressing the trajectory tracking challenge encountered by wheeled mobile robots. Firstly, the trajectory tracking error model under the global coordinate system is established according to the kinematic model of the wheeled mobile robot. Secondly, the novel sliding mode algorithm and backstepping method are introduced to design the motion controller of the system, respectively. Different sliding mode surfaces are formulated to guarantee rapid and stable convergence of the system’s trajectory tracking error to zero. Ultimately, comparative simulation trials validate the controller’s ability to swiftly and consistently follow the reference trajectory. In contrast to traditional controllers, this controller shows rapid convergence, minimal error, and robustness. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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19 pages, 716 KiB  
Article
Optimizing Propellant Distribution for Interorbital Transfers
by J. De Curtò and I. De Zarzà
Mathematics 2024, 12(6), 900; https://doi.org/10.3390/math12060900 - 19 Mar 2024
Viewed by 1030
Abstract
The advent of space exploration missions, especially those aimed at establishing a sustainable presence on the Moon and beyond, necessitates the development of efficient propulsion and mission planning techniques. This study presents a comprehensive analysis of chemical and electric propulsion systems for spacecraft, [...] Read more.
The advent of space exploration missions, especially those aimed at establishing a sustainable presence on the Moon and beyond, necessitates the development of efficient propulsion and mission planning techniques. This study presents a comprehensive analysis of chemical and electric propulsion systems for spacecraft, focusing on optimizing propellant distribution for missions involving transfers from Low-Earth Orbit (LEO) to Geostationary Orbit (GEO) and the Lunar surface. Using mathematical modeling and optimization algorithms, we calculate the delta-v requirements for key mission segments and determine the propellant mass required for each propulsion method. The results highlight the trade-offs between the high thrust of chemical propulsion and the high specific impulse of electric propulsion. An optimization model is developed to minimize the total propellant mass, considering a hybrid approach that leverages the advantages of both propulsion types. This research contributes to the field of aerospace engineering by providing insights into propulsion system selection and mission planning for future exploration missions to the Moon, Mars, and Venus. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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24 pages, 7537 KiB  
Article
A Microscopic Traffic Model Incorporating Vehicle Vibrations Due to Pavement Condition
by Faryal Ali, Zawar Hussain Khan, Khurram Shehzad Khattak, Thomas Aaron Gulliver and Ahmed B. Altamimi
Mathematics 2023, 11(24), 4911; https://doi.org/10.3390/math11244911 - 9 Dec 2023
Viewed by 1403
Abstract
A microscopic traffic flow model is developed that incorporates vehicle vibrations due to pavement condition. The Intelligent Driver (ID) model employs a fixed exponent so traffic behavior is the same regardless of the road condition. Thus, it ignores the underlying physics. To address [...] Read more.
A microscopic traffic flow model is developed that incorporates vehicle vibrations due to pavement condition. The Intelligent Driver (ID) model employs a fixed exponent so traffic behavior is the same regardless of the road condition. Thus, it ignores the underlying physics. To address this limitation, the proposed model employs the Pavement Condition Index (PCI) in describing traffic behavior. The performance of both models is evaluated on a 3000 m circular road using the Euler numerical discretization technique. The results show that the performance of the proposed model varies with the pavement condition (PCI), as expected. Furthermore, the traffic flow increases with vehicle speed. The oscillations in speed and density with the proposed model decrease as the PCI increases, and are larger when the speed is higher. Consequently, the results with the proposed model align more closely with reality as they are based on the PCI, and so are a more accurate representation of traffic behavior. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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22 pages, 1420 KiB  
Article
Drone-Based Decentralized Truck Platooning with UWB Sensing and Control
by I. de Zarzà, J. de Curtò, Juan Carlos Cano and Carlos T. Calafate
Mathematics 2023, 11(22), 4627; https://doi.org/10.3390/math11224627 - 13 Nov 2023
Cited by 1 | Viewed by 1333
Abstract
Truck platooning is a promising approach for reducing fuel consumption, improving road safety, and optimizing transport logistics. This paper presents a drone-based decentralized truck platooning system that leverages the advantages of Ultra-Wideband (UWB) technology for precise positioning, robust communication, and real-time control. Our [...] Read more.
Truck platooning is a promising approach for reducing fuel consumption, improving road safety, and optimizing transport logistics. This paper presents a drone-based decentralized truck platooning system that leverages the advantages of Ultra-Wideband (UWB) technology for precise positioning, robust communication, and real-time control. Our approach integrates UWB sensors on both trucks and drones, creating a scalable and resilient platooning system that can handle dynamic traffic conditions and varying road environments. The decentralized nature of the proposed system allows for increased flexibility and adaptability compared to traditional centralized platooning approaches. The core platooning algorithm employs multi-objective optimization, taking into account fuel efficiency, travel time, and safety. We propose a strategy for the formation and management of platoons based on UWB sensor data with an emphasis on maintaining optimal inter-vehicle secure distances and compatibility between trucks. Simulation results demonstrate the effectiveness of our approach in achieving efficient and stable platooning while addressing the challenges posed by real-world traffic scenarios. The proposed drone-based decentralized platooning system with UWB technology paves the way for the next generation of intelligent transportation systems that are more efficient, safer, and environment friendly. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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19 pages, 1893 KiB  
Article
UWB and MB-OFDM for Lunar Rover Navigation and Communication
by J. de Curtò, I. de Zarzà and Carlos T. Calafate
Mathematics 2023, 11(18), 3835; https://doi.org/10.3390/math11183835 - 7 Sep 2023
Cited by 6 | Viewed by 1895
Abstract
This paper presents a comprehensive study of ultra-wideband (UWB) and multi-band orthogonal frequency-division multiplexing (MB-OFDM) technologies for lunar rover navigation and communication in challenging terrains. Lunar missions pose unique challenges, such as signal propagation in the lunar environment, terrain elevation, and rover movement [...] Read more.
This paper presents a comprehensive study of ultra-wideband (UWB) and multi-band orthogonal frequency-division multiplexing (MB-OFDM) technologies for lunar rover navigation and communication in challenging terrains. Lunar missions pose unique challenges, such as signal propagation in the lunar environment, terrain elevation, and rover movement constraints. To address these challenges, we propose a hybrid communication and navigation system that leverages UWB technology for high-precision positioning and MB-OFDM for robust and high-throughput communication. We develop a realistic simulation framework that incorporates terrain elevation, obstacles, and rover movement constraints, along with a simple fading model for communication. Simulation results demonstrate the effectiveness of the proposed system in navigating lunar rovers to their target locations while maintaining reliable communication links with a lunar lander. A novel approach based on game theory for rover navigation is also presented. The study provides valuable insights into the design and optimization of communication and navigation systems for future lunar missions, paving the way for seamless integration of advanced terrestrial technologies in extraterrestrial environments. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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14 pages, 304 KiB  
Article
Operational Matrix of New Shifted Wavelet Functions for Solving Optimal Control Problem
by Gufran Abass and Suha Shihab
Mathematics 2023, 11(14), 3040; https://doi.org/10.3390/math11143040 - 8 Jul 2023
Cited by 2 | Viewed by 1240
Abstract
This paper is devoted to proposing an approximate numerical algorithm based on the use of the state parameterization technique in order to find the solution to the optimal control problem (OCP). An explicit formula for new shifted wavelet (NSW) functions is constructed. A [...] Read more.
This paper is devoted to proposing an approximate numerical algorithm based on the use of the state parameterization technique in order to find the solution to the optimal control problem (OCP). An explicit formula for new shifted wavelet (NSW) functions is constructed. A new formula that expresses the first-order derivative of the NSW in terms of their original NSW is established. The development of our suggested numerical algorithms begins with the extraction of a new operational matrix of derivative from this derivative formula. The expansion’s convergence study is performed in detail, and some illustrative examples of OCP are displayed. The proposed algorithm is compared with the exact one and some other methods in the literature. This confirms the accuracy and the high efficiency of the presented algorithm. Full article
(This article belongs to the Special Issue Modeling and Simulation in Engineering, 3rd Edition)
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