Composite adaptive finite‐time fuzzy control for switched nonlinear systems with preassigned performance
Summary This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown external disturbance and performance requirement. First, by utilizing the compensation and prediction errors, the piecewise switched co...
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| Published in | International journal of adaptive control and signal processing Vol. 37; no. 3; pp. 771 - 789 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
01.03.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0890-6327 1099-1115 |
| DOI | 10.1002/acs.3546 |
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| Abstract | Summary
This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown external disturbance and performance requirement. First, by utilizing the compensation and prediction errors, the piecewise switched composite parameter update law is employed to improve the approximation accuracy of the unknown nonlinearity. Then, the improved fractional‐order filter and error compensation signal are introduced to cope with the influences caused by the explosive calculation and filter error, respectively. Meanwhile, the effect of the compound disturbances consisting of the unknown disturbances and approximation errors is reduced appropriately by designing the piecewise switched nonlinear disturbance observer. Moreover, stability analysis results prove that the proposed preassigned performance control scheme not only ensures that all states of the closed‐loop system are practical finite‐time bounded, but also that the tracking error converges to a preassigned area with a finite time. Ultimately, the simulation examples are given to demonstrate the effectiveness of the proposed control strategy. |
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| AbstractList | This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown external disturbance and performance requirement. First, by utilizing the compensation and prediction errors, the piecewise switched composite parameter update law is employed to improve the approximation accuracy of the unknown nonlinearity. Then, the improved fractional‐order filter and error compensation signal are introduced to cope with the influences caused by the explosive calculation and filter error, respectively. Meanwhile, the effect of the compound disturbances consisting of the unknown disturbances and approximation errors is reduced appropriately by designing the piecewise switched nonlinear disturbance observer. Moreover, stability analysis results prove that the proposed preassigned performance control scheme not only ensures that all states of the closed‐loop system are practical finite‐time bounded, but also that the tracking error converges to a preassigned area with a finite time. Ultimately, the simulation examples are given to demonstrate the effectiveness of the proposed control strategy. Summary This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown external disturbance and performance requirement. First, by utilizing the compensation and prediction errors, the piecewise switched composite parameter update law is employed to improve the approximation accuracy of the unknown nonlinearity. Then, the improved fractional‐order filter and error compensation signal are introduced to cope with the influences caused by the explosive calculation and filter error, respectively. Meanwhile, the effect of the compound disturbances consisting of the unknown disturbances and approximation errors is reduced appropriately by designing the piecewise switched nonlinear disturbance observer. Moreover, stability analysis results prove that the proposed preassigned performance control scheme not only ensures that all states of the closed‐loop system are practical finite‐time bounded, but also that the tracking error converges to a preassigned area with a finite time. Ultimately, the simulation examples are given to demonstrate the effectiveness of the proposed control strategy. |
| Author | Song, Shuai Sun, Peng Stojanovic, Vladimir Song, Xiaona |
| Author_xml | – sequence: 1 givenname: Peng surname: Sun fullname: Sun, Peng organization: Henan University of Science and Technology – sequence: 2 givenname: Xiaona orcidid: 0000-0001-8476-5112 surname: Song fullname: Song, Xiaona organization: Henan University of Science and Technology – sequence: 3 givenname: Shuai orcidid: 0000-0002-4780-0967 surname: Song fullname: Song, Shuai email: songshuai_1010@163.com organization: Henan University of Science and Technology – sequence: 4 givenname: Vladimir surname: Stojanovic fullname: Stojanovic, Vladimir organization: University of Kragujevac |
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| Copyright | 2022 John Wiley & Sons, Ltd. 2023 John Wiley & Sons Ltd. |
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This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the... This article investigates the composite adaptive fuzzy finite‐time prescribed performance control issue of switched nonlinear systems subject to the unknown... |
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| SubjectTerms | Adaptive control Approximation composite adaptive control Disturbance observers Error compensation finite‐time prescribed performance finite‐time stable fractional‐order filter Fuzzy control Mathematical analysis Nonlinear control Nonlinear systems Nonlinearity piecewise switched nonlinear disturbance observer Stability analysis Tracking errors |
| Title | Composite adaptive finite‐time fuzzy control for switched nonlinear systems with preassigned performance |
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