October 8, 2019 Thesis Open Access

DECHASA GEREMU EJERSO

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  <identifier identifierType="DOI">10.20372/nadre:16156</identifier>
  <creators>
    <creator>
      <creatorName>DECHASA GEREMU EJERSO</creatorName>
    </creator>
  </creators>
  <titles>
    <title>ROBUST STABILITY AND STABLIZATION OF LINEAR  UNCERTAIN DISCRETE - TIME SINGULAR SYSTEM</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2019</publicationYear>
  <dates>
    <date dateType="Issued">2019-10-08</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Thesis</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://nadre.ethernet.edu.et/record/16156</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.20372/nadre:16155</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="URL" relationType="IsPartOf">https://nadre.ethernet.edu.et/communities/20-25</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/odc-by">Open Data Commons Attribution License</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;Major Advisor: Boka Kumsa (PhD)&lt;/p&gt;

&lt;p&gt;Co- Advisor: Alemu Geleta (PhD)&lt;/p&gt;

&lt;p&gt;Abstract&lt;/p&gt;

&lt;p&gt;This thesis deals with the problems of robust stability and stabilization for uncertain discretetime singular systems. The parameter uncertainties are assumed to be time-invariant and normbounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time singular system to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time singular systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively. With these conditions, the problems of robust stability and robust stabilization are solved.&lt;/p&gt;

&lt;p&gt;Keywords: Discrete time, linear matrix inequality (LMI), parameter uncertainty, robust stability, robust stabilization, singular systems.&lt;/p&gt;</description>
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