A Less Conservative LMI Condition for Robust D-Stability of Polynomial Matrix Polytopes-A Projection Approach

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This technical note investigates the problem of checking robust D-stability of a polytope of polynomial matrices. Finsler's projection lemma is taken to derive a new sufficient condition in terms of a linear matrix inequality (LMI) feasibility problem. The basic idea behind this condition is to lift the existing stability condition into the one of larger space by means of Finsler's lemma and, based on it, to introduce additional decision variables. Examples are given to show that the proposed condition can yield less conservative results than the previous one.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2011-04
Language
English
Article Type
Article
Citation

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, v.56, no.4, pp.868 - 873

ISSN
0018-9286
DOI
10.1109/TAC.2010.2101673
URI
http://hdl.handle.net/10203/272987
Appears in Collection
EE-Journal Papers(저널논문)
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