Premium
LMI based stability and stabilization of second‐order linear repetitive processes
Author(s) -
Dabkowski Pawel,
Gałkowski Krzysztof,
Datta Biswa,
Rogers Eric
Publication year - 2010
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.171
Subject(s) - control theory (sociology) , stability (learning theory) , class (philosophy) , matrix (chemical analysis) , mathematics , transformation (genetics) , state space , order (exchange) , state (computer science) , state space representation , transformation matrix , control (management) , computer science , algorithm , artificial intelligence , statistics , economics , physics , biochemistry , chemistry , materials science , kinematics , finance , classical mechanics , machine learning , composite material , gene
This paper develops new results on the stability and control of a class of linear repetitive processes described by a second‐order matrix discrete or differential equation. These are developed by transformation of the second‐order dynamics to those of an equivalent first‐order descriptor state‐space model, thus avoiding the need to invert a possibly ill‐conditioned leading coefficient matrix in the original model. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society