Delay2dependent H-infinity control f or linear descriptor systems with delay in state

A bst ract : A delay2dependent Hinfinity control for descriptor systems with a state2delay is investigated. The purpose of the problem is to design a linear memoryless state2feedback controller such that the resulting closed2loop system is regular ,impulse free and stable with an H-infinity norm bound. Firstly , a delay2dependent bounded real lemma (B RL) of the time2delay descriptor systems is presented in terms of linear matrix inequalities (LMIs) by using a descriptor model transformation of the system and by taking a new Lyapunov2Krasovsii functional. The introduced functional does not require bounding for cross terms , so it has less conservation.Secondly , with the help of the obtained bounded real lemma , a sufficient condition for the existence of a new delay2dependent Hinfinity state2feedback controller is shown in terms of nonlinear matrix inequalities and the solvability of the problem can be obtained by using an iterative algorithm involving convex optimization. Finally , numerical examples are given to demonstrate the effectiveness of the new method presented. Keywor ds : Delay descriptor systems ; Delay2dependent ; Hinfinity control ; Bounded real lemma (B RL) ; Linear matrix in2 equalities (LMIs)