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Analysis and design for singular discrete linear systems subject to actuator saturation
Author(s) -
Ji Xiaofu,
Sun Yukun,
Su Hongye
Publication year - 2011
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.307
Subject(s) - ellipsoid , linear matrix inequality , mathematics , invariant (physics) , control theory (sociology) , linear system , matrix (chemical analysis) , linear inequality , mathematical optimization , mathematical analysis , inequality , computer science , control (management) , artificial intelligence , physics , materials science , composite material , astronomy , mathematical physics
A method to estimate the domain of attraction for a singular discrete linear system under a saturated linear feedback is established. Simple conditions are derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. These conditions are expressed in terms of linear matrix inequalities. The largest contractively invariant ellipsoid can also be determined by solving an optimization problem with linear matrix inequality constraints. This result is extended to the design of feedback gain that results in the largest contractively invariant ellipsoid, which is also a linear matrix inequality optimization problem. A numerical example demonstrates the applicability and effectiveness of the presented method. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society