Observer-based additive H∞ control for a class of uncertain time-delay sampled-data system

The problem of additive 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 in terms of the Lyapunov function theory and linear matrix inequality (LMI) approach, a sufficient condition on the existence and designing method of non-fragile observer and additive H ∞ controller are derived. Finally, a numerical example is illustrated to show the effectiveness of the proposed results.