Delay-Dependent H-infinity Control of Linear Descriptor Systems

The delay-dependent H-infinity control problem for linear descriptor systems with state delay is considered. A delay-dependent condition for the existence of H-infinity memorial state feedback controller is presented in terms of matrix inequality such that the resulting closed-loop system is asymptotically stable and guarantees H-infinity performance index, and this condition fits the general descriptor system with time-delay whether it is impulse-free or not. The upper bounding on the weighted cross products, which often leads to conservatism, is not required for obtained delay-dependent results. Finally, numerical examples are provided to demonstrate the reduced conservatism and effectiveness of the proposed results.