Title :
The exact model-matching problem for linear time-varying systems: an algebraic approach
Author :
Marinescu, Bogdan ; Bourlès, Henri
fDate :
1/1/2003 12:00:00 AM
Abstract :
The exact model-matching problem is formulated and solved for linear time-varying systems. The condition for the existence of a proper solution, which is well known in the time-invariant case, is proven here to still be valid in the time-varying case. The properness is characterized using the Smith-MacMillan form at infinity, recently defined by the authors for the transfer matrices with time-varying coefficients.
Keywords :
adaptive control; matrix algebra; time-varying systems; Smith-MacMillan form; algebraic approach; exact model-matching problem; linear time-varying systems; time-varying coefficients; transfer matrices; Control systems; Cost accounting; Flexible AC transmission systems; H infinity control; Industrial plants; Linear systems; Open loop systems; Poles and zeros; Sufficient conditions; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2002.805654