IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i9p1277-d1381201.html
   My bibliography  Save this article

Geometric Control and Structure-at-Infinity Control for Disturbance Rejection and Fault Compensation Regarding Buck Converter-Based LED Driver

Author

Listed:
  • Jesse Y. Rumbo-Morales

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Jair Gómez-Radilla

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Gerardo Ortiz-Torres

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Felipe D. J. Sorcia-Vázquez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Hector M. Buenabad-Arias

    (División Académica de Mecánica Industrial, Universidad Tecnológica Emiliano Zapata del Estado de Morelos, Av. Universidad Tecnológica No. 1, Col. Palo Escrito, Emiliano Zapata 62760, Mexico
    Centro de Investigación en Ingenierías y Ciencias Aplicadas de la UAEM, Cuernavaca 62209, Mexico)

  • Maria A. López-Osorio

    (Natural and Exact Sciences Department, University of Guadalajara, Ameca 46600, Mexico)

  • Carlos A. Torres-Cantero

    (Tecnológico Nacional de México Campus Colima, Av. Tecnológico # 1, Col. Liberación, Villa de Álvarez 28976, Mexico
    Facultad de Ingeniería Mecánica y Eléctrica, Universidad de Colima, Carretera Colima-Coquimatlan km 9, Valle de las Huertas, Coquimatlán 28400, Mexico)

  • Moises Ramos-Martinez

    (Computer Science and Engineering Department, University of Guadalajara, Ameca 46600, Mexico)

  • Mario A. Juárez

    (TecNM/ITS Irapuato, Irapuato 36821, Mexico)

  • Manuela Calixto-Rodriguez

    (División Académica de Mecánica Industrial, Universidad Tecnológica Emiliano Zapata del Estado de Morelos, Av. Universidad Tecnológica No. 1, Col. Palo Escrito, Emiliano Zapata 62760, Mexico)

  • Jorge A. Brizuela-Mendoza

    (Exact Sciences and Methodologies Department, University of Guadalajara, Ciudad Guzmán 49000, Mexico)

  • Jesús E. Valdez-Resendiz

    (School of Engineering and Sciences, Tecnologico de Monterrey, Av. Eugenio Garza Sada 2501 Sur, Tecnológico, Monterrey 64700, Mexico)

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, 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.

Suggested Citation

  • 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 &, 2024. "Geometric Control and Structure-at-Infinity Control for Disturbance Rejection and Fault Compensation Regarding Buck Converter-Based LED Driver," Mathematics, MDPI, vol. 12(9), pages 1-33, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1277-:d:1381201
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/9/1277/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/9/1277/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    2. Mingyu Lu & Jin Li & Defeng He, 2023. "Adaptive Active Disturbance Rejection Control for Path Tracking of Intelligent Vehicle," Mathematical Problems in Engineering, Hindawi, vol. 2023, pages 1-17, April.
    3. Gerardo Ortiz Torres & Jesse Yoe Rumbo Morales & Moises Ramos Martinez & Jorge Salvador Valdez-Martínez & Manuela Calixto-Rodriguez & Estela Sarmiento-Bustos & Carlos Alberto Torres Cantero & Hector M, 2023. "Active Fault-Tolerant Control Applied to a Pressure Swing Adsorption Process for the Production of Bio-Hydrogen," Mathematics, MDPI, vol. 11(5), pages 1-25, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Beibei Ai & Zhe Jia, 2024. "The Global Existence and Boundedness of Solutions to a Chemotaxis–Haptotaxis Model with Nonlinear Diffusion and Signal Production," Mathematics, MDPI, vol. 12(16), pages 1-11, August.
    2. Hui, Jiuwu, 2024. "Discrete-time integral terminal sliding mode load following controller coupled with disturbance observer for a modular high-temperature gas-cooled reactor," Energy, Elsevier, vol. 292(C).
    3. Yao, Meng & Wei, Guoliang & Guo, Xinchen, 2024. "Input-to-state stabilization of networked impulsive systems under communication constraints: A refined Lyapunov functional," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    4. Kun Li & Rongfeng Li & Longzhou Cao & Yuming Feng & Babatunde Oluwaseun Onasanya, 2023. "Periodically Intermittent Control of Memristor-Based Hyper-Chaotic Bao-like System," Mathematics, MDPI, vol. 11(5), pages 1-17, March.
    5. Hui, Jiuwu, 2024. "Coordinated discrete-time super-twisting sliding mode controller coupled with time-delay estimator for PWR-based nuclear steam supply system," Energy, Elsevier, vol. 301(C).
    6. Guo, Mengyu & Wang, Peiguang, 2024. "Finite-time stability of non-instantaneous impulsive systems with double state-dependent delays," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    7. Rumbo-Morales, Jesse Y. & Ortiz-Torres, Gerardo & Sarmiento-Bustos, Estela & Rosales, Antonio Márquez & Calixto-Rodriguez, Manuela & Sorcia-Vázquez, Felipe D.J. & Pérez-Vidal, Alan F. & Rodríguez-Cerd, 2024. "Purification and production of bio-ethanol through the control of a pressure swing adsorption plant," Energy, Elsevier, vol. 288(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1277-:d:1381201. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.