On the robustness of LQ regulators for discrete-time systems¶
Authors: A.T. Neto, J.M. Dion, L. Dugard
Published: 1992 (Journal Paper)
Source: IEEE Transactions on Automatic Control
DOI: 10.1109/9.256383
Summary¶
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.