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On Necessary and Sufficient Conditions to Design Luenberger Observer for Descriptor Systems With Unknown Inputs.

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Title: On Necessary and Sufficient Conditions to Design Luenberger Observer for Descriptor Systems With Unknown Inputs.
Authors: Paitandi, Mamoni1 (AUTHOR), Gupta, Mahendra Kumar2 (AUTHOR) mkgupta@iitbbs.ac.in
Source: International Journal of Robust & Nonlinear Control. 5/25/2026, Vol. 36 Issue 8, p4648-4664. 17p.
Subjects: Descriptor systems, Observability (Control theory), Linear time invariant systems
Abstract: Linear time‐invariant descriptor systems with unknown inputs, not necessarily regular, are studied. The existence conditions for a Luenberger observer for this system are addressed in terms of the system coefficient matrices. Novel necessary and sufficient conditions for the existence of a Luenberger observer have been derived. The proposed rank criteria are milder than those existing in the previous literature. Orthogonal transformations are used to ensure numerical stability. Using the proposed conditions, techniques to design two different reduced‐order Luenberger observers are proposed. Numerical and physical examples illustrate the application. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 192939048
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On Necessary and Sufficient Conditions to Design Luenberger Observer for Descriptor Systems With Unknown Inputs.
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  Data: <searchLink fieldCode="AR" term="%22Paitandi%2C+Mamoni%22">Paitandi, Mamoni</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gupta%2C+Mahendra+Kumar%22">Gupta, Mahendra Kumar</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mkgupta@iitbbs.ac.in</i>
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  Data: <searchLink fieldCode="DE" term="%22Descriptor+systems%22">Descriptor systems</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+time+invariant+systems%22">Linear time invariant systems</searchLink>
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  Data: Linear time‐invariant descriptor systems with unknown inputs, not necessarily regular, are studied. The existence conditions for a Luenberger observer for this system are addressed in terms of the system coefficient matrices. Novel necessary and sufficient conditions for the existence of a Luenberger observer have been derived. The proposed rank criteria are milder than those existing in the previous literature. Orthogonal transformations are used to ensure numerical stability. Using the proposed conditions, techniques to design two different reduced‐order Luenberger observers are proposed. Numerical and physical examples illustrate the application. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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: 10.1002/rnc.70399
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 4648
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      – SubjectFull: Descriptor systems
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
      – SubjectFull: Linear time invariant systems
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      – TitleFull: On Necessary and Sufficient Conditions to Design Luenberger Observer for Descriptor Systems With Unknown Inputs.
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            NameFull: Paitandi, Mamoni
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            NameFull: Gupta, Mahendra Kumar
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            – D: 25
              M: 05
              Text: 5/25/2026
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              Y: 2026
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              Value: 36
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            – TitleFull: International Journal of Robust & Nonlinear Control
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