The inverse problem of optimal control theory determines a fiber bundle structure with gain vectors as base space and symmetric matrices Q as fibers. The fiber map pi projects the matrices Q to the solution of the Linear Quadratic Regulator (LQR) problem with performance index defined by Q. A section of the fiber bundle is defined assigning to any gain vector the unique diagonal matrix belonging to the fiber. In this framework a precise link between LQR and root locus analysis is established..
The fiber bundle of optimal control theory / Teofilatto, Paolo. - 69(2005), pp. 530-540. ((Intervento presentato al convegno 7th Conference on Applied and Industrial Mathematics in Italy tenutosi a Venice, ITALY nel SEP 20-24, 2004. [10.1142/9789812701817_0048].
The fiber bundle of optimal control theory
TEOFILATTO, Paolo
2005
Abstract
The inverse problem of optimal control theory determines a fiber bundle structure with gain vectors as base space and symmetric matrices Q as fibers. The fiber map pi projects the matrices Q to the solution of the Linear Quadratic Regulator (LQR) problem with performance index defined by Q. A section of the fiber bundle is defined assigning to any gain vector the unique diagonal matrix belonging to the fiber. In this framework a precise link between LQR and root locus analysis is established..I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
