Premium
Stabilization of polytopes of plants by their vertices
Author(s) -
Fonte Christophe,
Meddeb Houda,
Zasadzinski Michel
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4731
Subject(s) - polytope , mathematics , constructive , combinatorics , invariant (physics) , hermite polynomials , enhanced data rates for gsm evolution , discrete mathematics , pure mathematics , computer science , process (computing) , telecommunications , operating system , mathematical physics
Summary This paper aims to assess the stability of a polytope of linear systems by their vertices. These results are based on the Hermite‐Biehler and Edge theorems. A sufficient condition satisfying a constraint on the even (or odd) part of the closed‐loop characteristic polynomials associated with the stabilization of its vertices is proved. Finally, a constructive method to stabilize a polytope of plants with simultaneous and robust linear time‐invariant controllers is established.