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Title: Multimode Root locus for a Matrix with uncertainty using convex lowbar Hull

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.3106494· OSTI ID:21293330
 [1]
  1. Electrical Engineering Department Islamic University of Gaza, Gaza City (Palestinian Territory, Occupied)

The goal of this paper is to investigate the robust stability of the uncertain system based on the edge theorem and the Bhattacharyya and Keel algorithm. Firstly, the dynamic model for the system will be derived, then, Depending on the uncertainty, which appears in the elements of matrix A, the system will generates a set of interval matrices, secondly the procedures of the proposed algorithm to find convex hull of the system by Using the method of Andrew's Monotone Chain Algorithm will be implemented, and lastly root locus method will be utilized and applied to the exposed edges of the convex polygon and yet; the sharp and tight bounds of the eigenvalues of the proposed uncertain systems will be computed. An Electrical engineering system will be presented as practical example to validate the proposed method.

OSTI ID:
21293330
Journal Information:
AIP Conference Proceedings, Vol. 1107, Issue 1; Conference: CISA'09: 2. Mediterranean conference on intelligent systems and automation, Zarzis (Tunisia), 23-25 Mar 2009; Other Information: DOI: 10.1063/1.3106494; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English