Adaptive Super‐Twisting Terminal Sliding Mode Observer‐Based Stabilizer for Uncertain Nonlinear Time‐Delay Systems With Unmatched Disturbances
ABSTRACT The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to unmatched external disturbances. A terminal sliding mode controller based on an adaptive super‐twisting terminal sliding mode observer is developed...
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Published in | International journal of adaptive control and signal processing Vol. 39; no. 5; pp. 1091 - 1099 |
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Format | Journal Article |
Language | English |
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Hoboken, USA
John Wiley & Sons, Inc
01.05.2025
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Abstract | ABSTRACT
The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to unmatched external disturbances. A terminal sliding mode controller based on an adaptive super‐twisting terminal sliding mode observer is developed by using the linear matrix inequality (LMI) technique. Under the proposed scheme, the closed‐loop system converges to origin in finite time as the matching condition is satisfied and converges to the uniform ultimate bound in the effects of unmatched external disturbances. The design of the observer and the stabilizer does not require the upper bound of uncertainties and external disturbances. The chattering phenomenon is eliminated. The observer and the stabilizer can be efficiently designed from the solutions of LMIs. Simulation results illustrate the effectiveness of the proposed control scheme. |
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AbstractList | The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to unmatched external disturbances. A terminal sliding mode controller based on an adaptive super‐twisting terminal sliding mode observer is developed by using the linear matrix inequality (LMI) technique. Under the proposed scheme, the closed‐loop system converges to origin in finite time as the matching condition is satisfied and converges to the uniform ultimate bound in the effects of unmatched external disturbances. The design of the observer and the stabilizer does not require the upper bound of uncertainties and external disturbances. The chattering phenomenon is eliminated. The observer and the stabilizer can be efficiently designed from the solutions of LMIs. Simulation results illustrate the effectiveness of the proposed control scheme. ABSTRACT The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to unmatched external disturbances. A terminal sliding mode controller based on an adaptive super‐twisting terminal sliding mode observer is developed by using the linear matrix inequality (LMI) technique. Under the proposed scheme, the closed‐loop system converges to origin in finite time as the matching condition is satisfied and converges to the uniform ultimate bound in the effects of unmatched external disturbances. The design of the observer and the stabilizer does not require the upper bound of uncertainties and external disturbances. The chattering phenomenon is eliminated. The observer and the stabilizer can be efficiently designed from the solutions of LMIs. Simulation results illustrate the effectiveness of the proposed control scheme. |
Author | Pai, Ming‐Chang |
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Cites_doi | 10.1016/j.neucom.2019.12.005 10.1080/21642583.2014.913510 10.1177/1077546314538991 10.1016/j.automatica.2010.05.017 10.1007/s40435-022-01037-w 10.1016/j.automatica.2013.01.051 10.1016/j.amc.2022.127216 10.1002/asjc.2202 10.1002/rnc.6617 10.1002/asjc.2624 10.1016/S0005-1098(99)00038-2 10.1016/j.jfranklin.2013.04.004 10.1109/ACCESS.2018.2877398 10.1016/0005-1098(69)90071-5 10.1002/asjc.1902 10.1177/0142331217731621 10.3390/math9101128 10.1080/03772063.2020.1756935 10.1002/asjc.1073 10.1002/asjc.2647 10.1201/9781498701822 10.1007/978-0-8176-4893-0 10.1002/acs.2857 10.1007/s12555-009-0405-3 10.1109/5.4400 10.1109/TFUZZ.2023.3284917 10.1007/978-3-030-41709-3 10.1002/acs.3491 10.1016/S1474-6670(17)35358-2 10.1002/acs.2445 10.1177/0142331216650021 10.1002/asjc.2022 10.1109/9.774126 |
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Notes | Funding The author would like to thank The Ministry of Science and Technology of the Republic of China for financial support through Grant No. MOST 111‐2221‐E‐252‐002. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
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The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to... The aim of this paper is to propose a novel adaptive observer‐based stabilizer for a class of uncertain nonlinear time‐delay systems subject to unmatched... |
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SubjectTerms | adaptive super‐twisting terminal sliding mode observer chattering phenomenon Control systems Disturbances Linear matrix inequalities linear matrix inequality (LMI) Simulation Sliding mode control terminal sliding mode controller Twisting unmatched external disturbances Upper bounds |
Title | Adaptive Super‐Twisting Terminal Sliding Mode Observer‐Based Stabilizer for Uncertain Nonlinear Time‐Delay Systems With Unmatched Disturbances |
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