Robust State-Feedback H-infinity Control For Discrete-Time Descriptor Systems With Norm-Bounded Parametric Uncertainties

TL;DR

This paper develops a robust H-infinity state feedback control method for uncertain discrete-time descriptor systems, extending the bounded real lemma to handle parametric uncertainties and demonstrating its effectiveness through numerical examples.

Contribution

It introduces an extension of the bounded real lemma for uncertain descriptor systems and proposes a new control design procedure for robust stabilization.

Findings

Effective control design for uncertain descriptor systems

Extension of bounded real lemma to uncertain systems

Numerical validation of the proposed method

Abstract

This paper deals with a state feedback H-infinity control problem for linear time-invariant discrete-time descriptor systems with norm-bounded parametric uncertainties. To this end, bounded real lemma (BRL) is extended on the class of uncertain descriptor systems. The control design procedure based on the conditions of BRL for uncertain descriptor systems is proposed. Numerical example is included to illustrate the effectiveness of the present result.