Abstract:

The problem of non-fragile H_∞ control for a class of uncertain sampled-data systems with time-delay is considered via observer-based state feedback control. According to the case that there exist uncertainties not only in the plant but also in controller gains and observer gains, and the Lyapunov function theory and linear matrix inequality (LMI) approach are applied. A sufficient condition on the existence and designing method of non-fragile observer and H_∞ controller are derived. Finally, a numerical example is illustrated to show the effectiveness of the proposed results.