On the Robustness of LQ Regulators for Discrete-time Systems

Authors

A.T. Neto, J.M. Dion, L. Dugard

Year

1992

Journal Paper

Algorithm

Robust Discrete-Time LQ Regulation

Source

IEEE Transactions on Automatic Control

Identifiers

DOI 10.1109/9.256383

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.

Summary¶

Develops sufficient robustness conditions for discrete-time LQ regulators under additive uncertainty in state and input matrices. The paper gives bounds and a robustification procedure, clarifying when nominal LQ designs retain quadratic stabilizability in uncertain plants.