Derivative feedback control for differential-algebraic systems with time-varying delay

Abstract

This paper considers the problem of derivative state feedback (DSF) control for differential-algebraic systems with time-varying delay. Based on system augmentation technique, we realize the differential-algebraic systems normalization problem by virtue of derivative feedback control. Sufficiency conditions are derived in terms of linear matrix inequalities (LMIs) by selecting delay-dependent L-K functional. Numerical example demonstrates the availability of the proposed method.