New results on robust H∞ control for singular time-delay systems

This paper concerns the problem of delay-dependent robust H_∞ control for uncertain singular time-delay systems. Based on delay decomposition approach, a state-feedback controller, which guarantees that, for all admissible uncertainties, the resultant closed-loop system is regular, impulse free, and stable with disturbance attenuation level γ. The idea of delay decomposition approach is that employing new Lyapunov-krasovskii functionals, which decomposed the whole delay interval into multiple subintervals and defines a different energy function on each subintervals. Some numerical examples are given to show the effectiveness and less conservatism of the proposed method.