Robust Control of Time-Delay Systems: A Nyquist Approach

Altuğ İftar


Robust control, time-delay systems, stability, Nyquist stability theorem


Robustness is particularly important in the design of controllers for time-delay systems, since such systems are usually subject to different types of uncertainties. In this work, a frequency-dependent robustness bound is first derived based on the multivariable Nyquist stability theorem. Then, using this bound, a controller design approach is proposed. Apart from the derivation of the robustness bound, the proposed approach is completely based on the nominal model of the system. Satifying a simple condition, however, guarantees that the actual system is robustly stable. The proposed approach is also demonstrated by an example.

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