ABSTRACT
This paper deals with a state feedback 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 examples are included to illustrate the effectiveness of the present result.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Alexey A. Belov http://orcid.org/0000-0002-3126-0206
Olga G. Andrianova http://orcid.org/0000-0002-8407-1046