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Mathematics
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System Modeling, Control Theory, and Their Applications
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System Modeling, Control Theory, and Their Applications

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

Deadline for manuscript submissions: 31 October 2024 | Viewed by 3068

Special Issue Editors

Prof. Dr. Jorge A. Brizuela-Mendoza

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Guest Editor
Laboratorio de Matemáticas y Estadística, Universidad de Guadalajara, Av. Juárez 976, Col Centro 44100, Guadalajara, Jalisco, Mexico
Interests: linear matrix inequalities; linear parameter varying systems; linear systems; nonlinear control systems; position control; stability
Dr. Oscar Susano Dalmau Cedeño

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Guest Editor
Centro de Investigación en Matemáticas, A.C., Jalisco S/N, Col. Valenciana, Guanajuato CP 36023, Mexico
Interests: numerical optimization; machine learning and image processing
Special Issues, Collections and Topics in MDPI journals
Dr. Cesar Humberto Guzman Valdivia

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Guest Editor
Departamento de Ingeniería Mecatrónica, Universidad Politécnica de Aguscalientes, Edificio 2, Calle, Av. P.º San Gerardo 207-207, Aguascalientes 20342, Aguascalientes, Mexico
Interests: mechatronics; automation and robotics
Prof. Dr. Ricardo Eliu Lozoya-Ponce

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Guest Editor
Tecnológico Nacional de México campus Chihuahua, Chihuahua, Chihuahua C.P. 31130, Chihuahua, Mexico
Interests: power electronics; digital systems; dynamic and static systems

Special Issue Information

Dear Colleagues,

In the rapidly advancing landscape of science and technology, the escalating complexity of dynamic systems poses daily challenges, compelling the scientific community to unite in a concerted effort to enhance our understanding. This imperative collaboration gives rise to innovative approaches grounded in mathematical foundations that are aimed at surmounting the intricate hurdles inherent in the quest to refine essential products and services. Addressing real-world phenomena requires continuous development of mathematical approximations for dynamical systems, introducing additional complexities in their practical application.

In response to this demand, the field requires not only novel modeling techniques but also advanced control strategies to selectively manipulate these approximations for tangible benefits. This Special Issue is motivated by the pressing need to explore and disseminate advancements in System Modeling, Control Theory, and their diverse applications. We invite authors to contribute research articles that delve into the intricacies of Systems Modeling, Control Theory, and their real-world applications, underpinned by robust mathematical and analytical foundations.

Prof. Dr. Jorge A. Brizuela-Mendoza
Dr. Oscar Susano Dalmau Cedeño
Dr. Cesar Humberto Guzman Valdivia
Prof. Dr. Ricardo Eliu Lozoya-Ponce
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

  • non-linear dynamical systems
  • non-linear control systems
  • linear parameter-varying systems
  • Takagi–Sugeno systems
  • dynamical system modeling

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

Published Papers (2 papers)

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Research

16 pages, 1781 KiB  
Article
Data-Driven Modeling and Open-Circuit Voltage Estimation of Lithium-Ion Batteries
by Edgar D. Silva-Vera, Jesus E. Valdez-Resendiz, Gerardo Escobar, Daniel Guillen, Julio C. Rosas-Caro and Jose M. Sosa
Mathematics 2024, 12(18), 2880; https://doi.org/10.3390/math12182880 - 15 Sep 2024
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Abstract
This article presents a data-driven methodology for modeling lithium-ion batteries, which includes the estimation of the open-circuit voltage and state of charge. Using the proposed methodology, the dynamics of a battery cell can be captured without the need for explicit theoretical models. This [...] Read more.
This article presents a data-driven methodology for modeling lithium-ion batteries, which includes the estimation of the open-circuit voltage and state of charge. Using the proposed methodology, the dynamics of a battery cell can be captured without the need for explicit theoretical models. This approach only requires the acquisition of two easily measurable variables: the discharge current and the terminal voltage. The acquired data are used to build a linear differential system, which is algebraically manipulated to form a space-state representation of the battery cell. The resulting model was tested and compared against real discharging curves. Preliminary results showed that the battery’s state of charge can be computed with limited precision using a model that considers a constant open-circuit voltage. To improve the accuracy of the identified model, a modified recursive least-squares algorithm is implemented inside the data-driven method to estimate the battery’s open-circuit voltage. These last results showed a very precise tracking of the real battery discharging dynamics, including the terminal voltage and state of charge. The proposed data-driven methodology could simplify the implementation of adaptive control strategies in larger-scale solutions and battery management systems with the interconnection of multiple battery cells. Full article
(This article belongs to the Special Issue System Modeling, Control Theory, and Their Applications)
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33 pages, 2107 KiB  
Article
Geometric Control and Structure-at-Infinity Control for Disturbance Rejection and Fault Compensation Regarding Buck Converter-Based LED Driver
by Jesse Y. Rumbo-Morales, Jair Gómez-Radilla, Gerardo Ortiz-Torres, Felipe D. J. Sorcia-Vázquez, Hector M. Buenabad-Arias, Maria A. López-Osorio, Carlos A. Torres-Cantero, Moises Ramos-Martinez, Mario A. Juárez, Manuela Calixto-Rodriguez, Jorge A. Brizuela-Mendoza and Jesús E. Valdez-Resendiz
Mathematics 2024, 12(9), 1277; https://doi.org/10.3390/math12091277 - 23 Apr 2024
Cited by 1 | Viewed by 1129
Abstract
Currently, various light-emitting diode (LED) lighting systems are being developed because LEDs are one of the most used lighting sources for work environments, buildings, homes, and public roads in terms of some of their applications. Similarly, they have low energy consumption, quick responses, [...] Read more.
Currently, various light-emitting diode (LED) lighting systems are being developed because LEDs are one of the most used lighting sources for work environments, buildings, homes, and public roads in terms of some of their applications. Similarly, they have low energy consumption, quick responses, and excellent optimal performance in their operation. However, these systems still need to precisely regulate lighting, maintain stable voltage and current in the presence of faults and disturbances, and have a wide range of operations in the event of trajectory changes or monitoring tasks regarding the desired voltage and current. This work presents the design and application of two types of robust controllers (structure-at-infinity control and geometric control) applied to an LED driver using a buck converter. The controllers aim to follow the desired trajectories, attenuate disturbances at the power supply input, and compensate for faults in the actuator (MOSFET) to keep the capacitor voltage and inductor current stable. When comparing the results obtained with the two controllers, it was observed that both present excellent performance in the presence of constant disturbances. However, in scenarios in which variable faults and path changes are implemented, the structure-at-infinity control method shows an overimpulse of output voltage and current ranging from 39 to 42 volts and from 0.3 to 0.45 A, with a margin of error of 1%, and it can generate a failure in the LED driver using a buck converter. On the other hand, when using geometric control, the results are satisfactory, achieving attenuating constant disturbances and variable faults, reaching the desired voltage (40 v to 35 v) and current (0.3 to 0.25 A) with a margin of error of 0.05%, guaranteeing a system without overvoltages or the accelerated degradation of the components due to magnetic conductivity. Full article
(This article belongs to the Special Issue System Modeling, Control Theory, and Their Applications)
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