Input delay approach to robust sampled-data H∞ control

Sampled-data state-feedback H_∞ control of linear systems is considered. The only restriction on the sampling is that the distances between the sequel sampling times are not greater than a given bound. A new approach, which was recently introduced to sampled-data state-feedback stabilization, is developed to the H_∞ control. The system is modelled as a continuous-time one with the delayed control input. Sufficient linear matrix inequalities (LMIs) conditions are derived via Lyapunov-Krasovskii functionals.