Artículos de revistas
A CONVEX APPROACH TO THE MIXED H-2/H-INFINITY, CONTROL PROBLEM FOR DISCRETE-TIME UNCERTAIN SYSTEMS
Registro en:
Siam Journal On Control And Optimization. Siam Publications, v. 33, n. 6, n. 1816, n. 1833, 1995.
0363-0129
WOS:A1995TD53900010
10.1137/S0363012992238230
Autor
GEROMEL, JC
PERES, PLD
SOUZA, SR
Institución
Resumen
This paper considers H-2/H-infinity, control problems involving discrete-time uncertain linear systems. The uncertain domain is supposed to be convex bounded, which naturally covers, as a particular case, the important class of interval matrices. The H-infinity guaranteed-cost control problem, solved for this class of uncertain systems, under no matching conditions, can be stated as follows: determine a state feedback gain (if one exists) such that the H-infinity norm of a given transfer function remains bounded by a prespecified level for all possible models. In the same context, problems on the determination of the smallest H-infinity upper bound and the minimization of an H-2 cost upper bound subject to H-infinity constraints are also addressed. The results follow from the fact that those problems are convex in the particular parametric space under consideration. Some examples illustrate the theory. 33 6 1816 1833