Title :
Convex analysis of discrete-time uncertain Hinfinity control problems
Author :
Peres, P.L.D. ; Geromel, J.C. ; Souza, S.R.
Author_Institution :
LAC-DT, Fac. of Electr. Eng., Univ. Estadual de Campinas, Brazil
Abstract :
Two classical problems involving discrete-time systems are analyzed. The first one concerns the quadratic stabilizability with uncertainties in convex bounded domains, which naturally covers the important class of interval matrices. In that problem, there is no need to introduce any kind of matching conditions, which is an important improvement compared with other results available in the literature. The second problem is defined by simply adding to the first problem some prespecified closed-loop transfer function Hinfinity norm bound. Assuming the state is available for feedback, the geometry of both problems is thoroughly analyzed. They turn out to be convex on the parameter space.
Keywords :
closed loop systems; control system analysis; discrete time systems; feedback; matrix algebra; optimal control; stability; transfer functions; closed-loop transfer function H∞ norm bound; control system analysis; convex analysis; convex bounded domains; discrete-time uncertain H∞ control problems; interval matrices; quadratic stabilizability; Control systems; Control theory; Frequency; Gain; Geometry; H infinity control; Riccati equations; State feedback; State-space methods; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261360