Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems.

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Title: Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems.
Authors: Angulo, Marco Tulio1 darkbyte@gmail.com, Fridman, Leonid2 lfridman@unam.mx, Moreno, Jaime A.3 jmorenop@ii.unam.mx
Source: Automatica. Sep2013, Vol. 49 Issue 9, p2767-2773. 7p.
Subjects: Feedback control systems, Nonlinear systems, High-order derivatives (Mathematics), Smoothness of functions, Observability (Control theory), Problem solving
Abstract: Abstract: A novel methodology for designing multivariable High-Order Sliding-Mode (HOSM) controllers for disturbed feedback linearizable nonlinear systems is introduced. It provides for the finite-time stabilization of the origin of the state-space by using output feedback. Only the additional assumptions of algebraic strong observability and smooth enough matched disturbances are required. The control problem is solved in two consecutive steps: firstly, designing an observer based on the measured output and, secondly, designing of a full-state controller computed from a new virtual output with vector relative degree. The introduced notion of algebraic strong observability allows recovering the state of the system using the measured output and its derivatives. By estimating the required derivatives through the HOSM differentiator, a finite-time convergent observer is constructed. [Copyright &y& Elsevier]
Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Output-feedback finite-time stabilization of disturbed feedback linearizable nonlinear systems.
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  Data: <searchLink fieldCode="AR" term="%22Angulo%2C+Marco+Tulio%22">Angulo, Marco Tulio</searchLink><relatesTo>1</relatesTo><i> darkbyte@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Fridman%2C+Leonid%22">Fridman, Leonid</searchLink><relatesTo>2</relatesTo><i> lfridman@unam.mx</i><br /><searchLink fieldCode="AR" term="%22Moreno%2C+Jaime+A%2E%22">Moreno, Jaime A.</searchLink><relatesTo>3</relatesTo><i> jmorenop@ii.unam.mx</i>
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  Data: <searchLink fieldCode="JN" term="%22Automatica%22">Automatica</searchLink>. Sep2013, Vol. 49 Issue 9, p2767-2773. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22High-order+derivatives+%28Mathematics%29%22">High-order derivatives (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Smoothness+of+functions%22">Smoothness of functions</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+solving%22">Problem solving</searchLink>
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  Data: Abstract: A novel methodology for designing multivariable High-Order Sliding-Mode (HOSM) controllers for disturbed feedback linearizable nonlinear systems is introduced. It provides for the finite-time stabilization of the origin of the state-space by using output feedback. Only the additional assumptions of algebraic strong observability and smooth enough matched disturbances are required. The control problem is solved in two consecutive steps: firstly, designing an observer based on the measured output and, secondly, designing of a full-state controller computed from a new virtual output with vector relative degree. The introduced notion of algebraic strong observability allows recovering the state of the system using the measured output and its derivatives. By estimating the required derivatives through the HOSM differentiator, a finite-time convergent observer is constructed. [Copyright &y& Elsevier]
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  Group: Ab
  Data: <i>Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.automatica.2013.05.013
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        Text: English
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      – SubjectFull: High-order derivatives (Mathematics)
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      – SubjectFull: Smoothness of functions
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      – SubjectFull: Observability (Control theory)
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              Text: Sep2013
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