Output-feedback finite-time stabilization of disturbed LTI systems

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Title: Output-feedback finite-time stabilization of disturbed LTI systems
Authors: Angulo, Marco Tulio1 darkbyte@gmail.com, Fridman, Leonid2 lfridman@unam.mx, Levant, Arie3 arie.levant@gmail.com
Source: Automatica. Apr2012, Vol. 48 Issue 4, p606-611. 6p.
Subjects: Linear time invariant systems, Robust optimization, Stochastic convergence, Affine algebraic groups, Group schemes (Mathematics), Feedback control systems
Abstract: Abstract: Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time. [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: <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="%22Levant%2C+Arie%22">Levant, Arie</searchLink><relatesTo>3</relatesTo><i> arie.levant@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Automatica%22">Automatica</searchLink>. Apr2012, Vol. 48 Issue 4, p606-611. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Linear+time+invariant+systems%22">Linear time invariant systems</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+optimization%22">Robust optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+convergence%22">Stochastic convergence</searchLink><br /><searchLink fieldCode="DE" term="%22Affine+algebraic+groups%22">Affine algebraic groups</searchLink><br /><searchLink fieldCode="DE" term="%22Group+schemes+%28Mathematics%29%22">Group schemes (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink>
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  Data: Abstract: Semi-global finite-time exact stabilization of linear time-invariant systems with matched disturbances is attained using a dynamic output feedback, provided the system is controllable, strongly observable and the disturbance has a bound affine in the state norm. The novel non-homogeneous high-order sliding-mode control strategy is based on the gain adaptation of both the controller and the differentiator included in the feedback. A robust criterion is developed for the detection of differentiator convergence to turn on the controller at a proper time. [Copyright &y& Elsevier]
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  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.2012.01.003
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        Text: English
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        StartPage: 606
    Subjects:
      – SubjectFull: Linear time invariant systems
        Type: general
      – SubjectFull: Robust optimization
        Type: general
      – SubjectFull: Stochastic convergence
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      – SubjectFull: Affine algebraic groups
        Type: general
      – SubjectFull: Group schemes (Mathematics)
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      – SubjectFull: Feedback control systems
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      – TitleFull: Output-feedback finite-time stabilization of disturbed LTI systems
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              Text: Apr2012
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              Y: 2012
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