A robust controller design approach for systems with distributed time-delay

Robust controller design problem for time-delay systems with distributed time-delay is considered. A robustness bound, which accounts for the uncertainties in the system is defined. A controller design approach, which uses this bound, is then proposed. Once the robustness bound is obtained, the proposed approach is completely based on the nominal model and satisfying a simple condition guarantees that the actual system is robustly stable. An example is also presented to demonstrate the proposed approach.