DocumentCode
2291961
Title
Robust stability of LTI discrete-time systems using sum-of-squares matrix polynomials
Author
Yanesi, Javad Lavaei ; Aghdam, Amir G.
Author_Institution
Dept. of Electr. & Comput. Eng., Concordia Univ., Montreal, Que.
fYear
2006
fDate
14-16 June 2006
Abstract
This paper deals with the robust stability of discrete-time systems with convex polytopic uncertainties. A necessary and sufficient condition for the robust stability of the system is presented, which states that the system is robust stable if and only if there exist three matrix polynomials to satisfy a specific relation. This existence condition can be easily converted to a semidefinite programming (SDP) problem, which can be solved using a number of available softwares
Keywords
discrete time systems; linear systems; polynomial matrices; robust control; LTI; convex polytopic uncertainty; discrete-time system; linear time invariant system; robust stability; semidefinite programming; sum-of-squares matrix polynomial; Councils; Eigenvalues and eigenfunctions; Java; Matrix converters; Polynomials; Robust stability; Robustness; Sufficient conditions; Symmetric matrices; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2006
Conference_Location
Minneapolis, MN
Print_ISBN
1-4244-0209-3
Electronic_ISBN
1-4244-0209-3
Type
conf
DOI
10.1109/ACC.2006.1657315
Filename
1657315
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