Delay-dependent Robust control for uncertain singular systems with time-delay: A new method

This paper discusses the problem of delay-dependent robust control for uncertain singular systems with time-delay. Firstly, based on Jensen inequality formula and Lyapunov stability theory, the sufficient condition is established for delay-dependent singular system with time-delay, which guaranteed the nominal system is regular, impulse free and stable. Secondly, based on the sufficient condition, the design method of robust state feedback controller for delay-dependent uncertain singular systems with time-delay, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable. All the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system matrices. Finally, numerical examples are given to illustrate the less conservativeness and effectiveness of the method.