Title :
On the robustness of LQ regulators for discrete-time systems
Author :
Neto, Alexandre Trofino ; Dion, Jean Michel ; Dugard, Luc
Author_Institution :
Lab. d´´Autom. de Grenoble, CNRS, St. Martin d´´Heres, France
fDate :
10/1/1992 12:00:00 AM
Abstract :
A sufficient condition for quadratic stabilizability of uncertain linear discrete-time systems using LQ regulators is presented. The true system is represented by a nominal model plus additive terms representing the most common types of uncertainties in the state and input matrices. Sufficient robustness bounds as well as a robustification procedure for discrete-time LQ regulators are presented and the conservativeness of the proposed condition is discussed
Keywords :
discrete time systems; optimal control; stability criteria; LQ regulators; quadratic stabilizability; robustness; uncertain linear discrete-time systems; Linear systems; Minimax techniques; Regulators; Riccati equations; Robust control; Robustness; State feedback; Sufficient conditions; Uncertainty; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on