On LMI Approach to Robust State-Feedback H_∞ Control for Discrete-Time Descriptor Systems with Uncertainties in All Matrices

摘要

This paper deals with a state feedback H_∞ control problem for linear discrete-time time-invariant (LDTI) uncertain descriptor systems. Considered systems contain norm-bounded parametric uncertainties in all matrices. Bounded real lemma (BRL) for descriptor systems with all known matrices is extended on the class of uncertain 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.