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
fDate :
10/1/1994 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
