Title :
Linear fractional representations of systems with rational uncertainty
Author :
Cockburn, Juan C.
Author_Institution :
Dept. of Electr. Eng., Florida State Univ., Tallahassee, FL, USA
Abstract :
In this paper the linear fractional representation problem of systems with rational parametric uncertainty is addressed. First it is shown that this problem can be solved using the structured tree decomposition algorithm. Minimality and order reduction of these linear fractional representations is discussed. An example is presented to illustrate this method and compare several approaches to order reduction
Keywords :
MIMO systems; matrix decomposition; multidimensional systems; polynomial matrices; trees (mathematics); uncertain systems; linear fractional representations; minimality; order reduction; rational parametric uncertainty; structured tree decomposition algorithm; Control system synthesis; Linear systems; MIMO; Mathematical model; Multidimensional systems; Polynomials; Robust control; Robustness; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703561
