Mathematical Modeling and Simulation in Automatic Control

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

Deadline for manuscript submissions: 31 October 2024 | Viewed by 2189

Special Issue Editors


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Guest Editor
Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara-Ameca Km 45.5, Ameca 46600, Jalisco, Mexico
Interests: MATLAB simulation; control theory; control and instrumentation; electrical & electronics engineering; system modelling; fault diagnosis; control systems engineering

E-Mail Website
Guest Editor
Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara-Ameca Km 45.5, Ameca 46600, Mexico
Interests: nonlinear control systems; adaptive control; fault diagnosis; fault tolerant control; linear systems; partial differential equations

E-Mail Website
Guest Editor
Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara-Ameca Km 45.5, Ameca 46600, Mexico
Interests: control theory; system modelling; automation & robotics; fault tolerant control; fault diagnosis; systems dynamics; MATLAB simulation

Special Issue Information

Dear Colleagues,

Today, automatic control is fully involved in our daily life and is an area of engineering that highly involves mathematics. In general, the design procedures of control systems are based on the mathematical models of the systems these were designed to control. These mathematical models, described using linear or nonlinear differential equations, are obtained by analyzing the systems' natural behavior, e.g., physics, chemistry, or biology, or by implementing system identification techniques. Mathematical models are mainly used to simulate and analyze the system's dynamic behavior, perform cause–effect tests, evaluate linear or nonlinear control algorithms, and predict dynamics, among other applications. With the increase in these applications and the high degree of automation technology integration, simulation has become an important role in automatic control system design. New modeling, simulation, and control techniques are needed to meet the challenges of automatic control. It remains an important and challenging problem to be solved in a theoretical and practical way. In this context, we invite the submission of high-quality novel contributions related to mathematical modeling and the simulation of complex dynamical systems, development of new control algorithms, new mathematical tools applied to control systems, and real-time applications of control systems.

Topics of interest include, but are not limited to, the following: mathematical modeling of dynamical systems; linear parameter-varying systems; developing theories in linear control, nonlinear control, or fault-tolerant control; system identification of complex systems, simulation, and control of complex systems; controllers' tunning methods based on metaheuristic algorithms. Contributions of both theoretical and practical research are welcome.

Prof. Dr. Felipe D.J. Sorcia-Vázquez
Prof. Dr. Jesse Yoe Rumbo-Morales
Prof. Dr. Gerardo Ortiz-Torres
Guest Editors

Manuscript Submission Information

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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

  • linear control
  • nonlinear control
  • fault diagnosis and tolerant control
  • control in power electronics
  • control in electromechanical and mechatronics systems
  • process control
  • embedded systems in control
  • modeling and simulation of mechanical structures
  • neural networks and artificial intelligence
  • fractional order modeling and control

Published Papers (2 papers)

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Research

23 pages, 5408 KiB  
Article
An Adaptation of a Sliding Mode Classical Observer to a Fractional-Order Observer for Disturbance Reconstruction of a UAV Model: A Riemann–Liouville Fractional Calculus Approach
by Miguel Angel Hernández-Pérez, Gustavo Delgado-Reyes, Vicente Borja-Jaimes, Jorge Salvador Valdez-Martínez and Marisol Cervantes-Bobadilla
Mathematics 2023, 11(24), 4876; https://doi.org/10.3390/math11244876 - 05 Dec 2023
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Abstract
This paper proposes a modification of a Sliding Mode Classical Observer (SMCO) to adapt it to the fractional approach. This adaptation involves using a set of definitions based on fractional calculus theory, particularly the approach developed by Riemann–Liouville, resulting in a Sliding Mode [...] Read more.
This paper proposes a modification of a Sliding Mode Classical Observer (SMCO) to adapt it to the fractional approach. This adaptation involves using a set of definitions based on fractional calculus theory, particularly the approach developed by Riemann–Liouville, resulting in a Sliding Mode Fractional Observer (SMFO). Both observers are used to perform disturbance reconstruction considered additive in a Quadrotor Unmanned Aerial Vehicle (UAV) model. Then, this work presents the fractional-order sliding mode observer’s mathematical formulation and integration into the Quadrotor UAV model. To validate the quality of the disturbance reconstruction process of the proposed SMFO observer scheme, numerical simulations are carried out, where a reconstruction quality indicator (BQR) is proposed based on the analysis of performance indices such as the Mean Square Error (MSE), the First Probability Moment (FPM), and Second Probability Moment (SPM), which were obtained for both the SMCO and the SMFO. The simulation results demonstrate the efficacy of the proposed observer in accurately reconstructing disturbances under various environmental conditions. Comparative analyses with SMCO highlight the advantages of the fractional-order approach in terms of reconstruction accuracy and improvement of its transitory performance. Finally, the presented SMFO offers a promising avenue for enhancing the reliability and precision of disturbance estimation, ultimately contributing to the advancement of robust control strategies for Quadrotor UAV systems. Full article
(This article belongs to the Special Issue Mathematical Modeling and Simulation in Automatic Control)
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19 pages, 3109 KiB  
Article
On the State-Feedback Controller Design for Polynomial Linear Parameter-Varying Systems with Pole Placement within Linear Matrix Inequality Regions
by Jorge A. Brizuela-Mendoza, Juan Carlos Mixteco-Sánchez, Maria A. López-Osorio, Gerardo Ortiz-Torres, Felipe D. J. Sorcia-Vázquez, Ricardo Eliú Lozoya-Ponce, Moises B. Ramos-Martínez, Alan F. Pérez-Vidal, Jesse Y. Rumbo Morales, Cesar H. Guzmán-Valdivia, Mayra G. Mena-Enriquez and Carlos Alberto Torres-Cantero
Mathematics 2023, 11(22), 4696; https://doi.org/10.3390/math11224696 - 19 Nov 2023
Viewed by 742
Abstract
The present paper addresses linear parameter-varying systems with high-order time-varying parameter dependency known as polynomial LPV systems and their controller design. Throughout this work, a procedure ensuring a state-feedback controller from a parameterized linear matrix inequality (PLMI) solution is presented. As the main [...] Read more.
The present paper addresses linear parameter-varying systems with high-order time-varying parameter dependency known as polynomial LPV systems and their controller design. Throughout this work, a procedure ensuring a state-feedback controller from a parameterized linear matrix inequality (PLMI) solution is presented. As the main contribution of this paper, the controller is designed by considering the time-varying parameter rate as a tuning parameter with a continuous control gain in such a way that the closed-loop eigenvalues lie in a complex plane subset, with high-order time-varying parameters defining the system dynamics. Simulation results are presented, aiming to show the effectiveness of the proposed controller design. Full article
(This article belongs to the Special Issue Mathematical Modeling and Simulation in Automatic Control)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Title: Improving the rotor stiffness and voltage harmonic distortion of an axial flux permanent magnet generator using electromechanical models
Authors: Javier de la Cruz-Soto
Affiliation: ITSON
Abstract: The improvement of the current technology to produce and distribute renewable energy is more important every day. It allows both isolated and grid-tied electricity users to get an alternative to having clean and affordable energy. Small wind turbine technology faces challenges in achieving a reliable system to reach competitive prices. In this work, the stiffness of the rotor and its effect on the voltage harmonics distortion is analyzed in an axial flux permanent magnet generator. Changes in the mechanical design are proposed to avoid the negative impact of the stiffness in the voltage waveform. The electromagnetic model of the generator is study to verify the impact on the voltage waveform. A prototype is manufactured to test the improvements to the design.

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