Stabilization of a chaotic oscillator via a class of integral controllers under input saturation
Abstract This work presents the straightforward design of an integral controller with an anti-windup structure to prevent undesirable behavior when actuator saturation is considered, and the proposed controller improves the performance of the closed-loop dynamics of a class of nonlinear oscillators....
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-04-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-33201-3 |
| _version_ | 1827966328724520960 |
|---|---|
| author | Ricardo Aguilar-López Juan L. Mata-Machuca |
| author_facet | Ricardo Aguilar-López Juan L. Mata-Machuca |
| author_sort | Ricardo Aguilar-López |
| collection | DOAJ |
| description | Abstract This work presents the straightforward design of an integral controller with an anti-windup structure to prevent undesirable behavior when actuator saturation is considered, and the proposed controller improves the performance of the closed-loop dynamics of a class of nonlinear oscillators. The proposed integral controller has an adaptive control gain, which includes the absolute value of the named control error to turn off the integral action when it is saturated. Closed-loop stability analysis is performed under the Lyapunov theory framework, where it can be concluded that the system behaves in an asymptotically stable way. The proposed methodology is successfully applied to a Rikitake-type oscillator, considering a single input-single output (SISO) structure for regulation and tracking trajectory purposes. For comparison, an equivalent fixed gain integral controller is also implemented to analyze the corresponding anti-windup properties of the proposed control structure. Numerical experiments are conducted, showing the superior performance of the proposed controller. |
| first_indexed | 2024-04-09T17:48:12Z |
| format | Article |
| id | doaj.art-6bb71ceb833e4e88b96ef48ffee9531f |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T17:48:12Z |
| publishDate | 2023-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-6bb71ceb833e4e88b96ef48ffee9531f2023-04-16T11:12:50ZengNature PortfolioScientific Reports2045-23222023-04-0113111210.1038/s41598-023-33201-3Stabilization of a chaotic oscillator via a class of integral controllers under input saturationRicardo Aguilar-López0Juan L. Mata-Machuca1Department of Biotechnology and Bioengineering, CINVESTAVUPIITA, Department of Advanced Technologies, Instituto Politecnico NacionalAbstract This work presents the straightforward design of an integral controller with an anti-windup structure to prevent undesirable behavior when actuator saturation is considered, and the proposed controller improves the performance of the closed-loop dynamics of a class of nonlinear oscillators. The proposed integral controller has an adaptive control gain, which includes the absolute value of the named control error to turn off the integral action when it is saturated. Closed-loop stability analysis is performed under the Lyapunov theory framework, where it can be concluded that the system behaves in an asymptotically stable way. The proposed methodology is successfully applied to a Rikitake-type oscillator, considering a single input-single output (SISO) structure for regulation and tracking trajectory purposes. For comparison, an equivalent fixed gain integral controller is also implemented to analyze the corresponding anti-windup properties of the proposed control structure. Numerical experiments are conducted, showing the superior performance of the proposed controller.https://doi.org/10.1038/s41598-023-33201-3 |
| spellingShingle | Ricardo Aguilar-López Juan L. Mata-Machuca Stabilization of a chaotic oscillator via a class of integral controllers under input saturation Scientific Reports |
| title | Stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| title_full | Stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| title_fullStr | Stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| title_full_unstemmed | Stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| title_short | Stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| title_sort | stabilization of a chaotic oscillator via a class of integral controllers under input saturation |
| url | https://doi.org/10.1038/s41598-023-33201-3 |
| work_keys_str_mv | AT ricardoaguilarlopez stabilizationofachaoticoscillatorviaaclassofintegralcontrollersunderinputsaturation AT juanlmatamachuca stabilizationofachaoticoscillatorviaaclassofintegralcontrollersunderinputsaturation |