Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs
This paper presents a novel control strategy based on an uncertainty estimator for a class of fractional-order nonlinear systems characterized by a polynomial input. The proposed strategy allows the system to be controlled without resorting to transformations or approximate linearization. This is ac...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/12/836 |
| _version_ | 1797380972865388544 |
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| author | Juan Javier Montesinos-García Jorge Luis Barahona-Avalos Jesús Linares-Flores José Antonio Juárez-Abad |
| author_facet | Juan Javier Montesinos-García Jorge Luis Barahona-Avalos Jesús Linares-Flores José Antonio Juárez-Abad |
| author_sort | Juan Javier Montesinos-García |
| collection | DOAJ |
| description | This paper presents a novel control strategy based on an uncertainty estimator for a class of fractional-order nonlinear systems characterized by a polynomial input. The proposed strategy allows the system to be controlled without resorting to transformations or approximate linearization. This is accomplished by using a fractional-order sliding-mode observer, whose task is to estimate certain portions of the state of the nonlinear system of a non-integer order, thus allowing the control law to counteract these elements to steer the system towards a desired behavior. To validate the performance of the proposed strategy, it was implemented, both in simulation and experimentally, to regulate the temperature of the cold side of a thermoelectric module fed by a DC/DC electronic power converter of the step-down type, a system that is known to have a nonlinear polynomial-type control input. |
| first_indexed | 2024-03-08T20:45:36Z |
| format | Article |
| id | doaj.art-4e58089e490a455c9b5beb5621bbbd91 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-08T20:45:36Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-4e58089e490a455c9b5beb5621bbbd912023-12-22T14:09:55ZengMDPI AGFractal and Fractional2504-31102023-11-0171283610.3390/fractalfract7120836Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control InputsJuan Javier Montesinos-García0Jorge Luis Barahona-Avalos1Jesús Linares-Flores2José Antonio Juárez-Abad3Instituto de Electrónica y Mecatrónica, Universidad Tecnólogica de la Mixteca, Km 2.5 Carretera a Acatlima, Huajuapan de León, Oaxaca 69000, MexicoInstituto de Electrónica y Mecatrónica, Universidad Tecnólogica de la Mixteca, Km 2.5 Carretera a Acatlima, Huajuapan de León, Oaxaca 69000, MexicoInstituto de Electrónica y Mecatrónica, Universidad Tecnólogica de la Mixteca, Km 2.5 Carretera a Acatlima, Huajuapan de León, Oaxaca 69000, MexicoInstituto de Electrónica y Mecatrónica, Universidad Tecnólogica de la Mixteca, Km 2.5 Carretera a Acatlima, Huajuapan de León, Oaxaca 69000, MexicoThis paper presents a novel control strategy based on an uncertainty estimator for a class of fractional-order nonlinear systems characterized by a polynomial input. The proposed strategy allows the system to be controlled without resorting to transformations or approximate linearization. This is accomplished by using a fractional-order sliding-mode observer, whose task is to estimate certain portions of the state of the nonlinear system of a non-integer order, thus allowing the control law to counteract these elements to steer the system towards a desired behavior. To validate the performance of the proposed strategy, it was implemented, both in simulation and experimentally, to regulate the temperature of the cold side of a thermoelectric module fed by a DC/DC electronic power converter of the step-down type, a system that is known to have a nonlinear polynomial-type control input.https://www.mdpi.com/2504-3110/7/12/836fractional-orderobserver-based controlthermoelectric module |
| spellingShingle | Juan Javier Montesinos-García Jorge Luis Barahona-Avalos Jesús Linares-Flores José Antonio Juárez-Abad Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs Fractal and Fractional fractional-order observer-based control thermoelectric module |
| title | Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs |
| title_full | Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs |
| title_fullStr | Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs |
| title_full_unstemmed | Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs |
| title_short | Uncertainty Observer-Based Control for a Class of Fractional- Order Non-Linear Systems with Non-Linear Control Inputs |
| title_sort | uncertainty observer based control for a class of fractional order non linear systems with non linear control inputs |
| topic | fractional-order observer-based control thermoelectric module |
| url | https://www.mdpi.com/2504-3110/7/12/836 |
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