DocumentCode
1187475
Title
The resolution of equation XA+XBX=HX and the pole assignment problem
Author
Benzaouia, Abdellah
Author_Institution
Lab. d´´Autom. et d´´Etude des Procedes, Univ. Cadi Ayyad, Marrakech, Morocco
Volume
39
Issue
10
fYear
1994
fDate
10/1/1994 12:00:00 AM
Firstpage
2091
Lastpage
2095
Abstract
This paper deals with the resolution of equation XA+XBX=HX, which plays a fundamental rule in the design of controllers of linear systems with constrained control by the use of the recently developed concept of positive invariance. It is also shown that this equation represents a partially pole assignment problem. Such resolution allows us to build a new method, called the inverse procedure, to design these controllers
Keywords
control system synthesis; discrete time systems; invariance; inverse problems; linear systems; matrix algebra; poles and zeros; controller design; discrete time systems; inverse procedure; linear systems; matrix algebra; pole assignment; positive invariance; Artificial intelligence; Covariance matrix; Eigenvalues and eigenfunctions; Equations; Error analysis; Feedback; Regulators; Sufficient conditions; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.328817
Filename
328817
Link To Document