Parameterization-based control of anisochronic systems using RMS ring

Abstract

The contribution brings an engineering acceptable control design approach for so-called anisochronic systems. The method is based on algebraic tools in the ring of RQ-meromorphic functions and it was developed for a wide class of delayed systems. Anisochronic systems (models) include delays also in their dynamics and can be delayed in the conventional input-output sense as well. The control synthesis consists in the solution of the Bèzout identity and Youla-Kučera parameterization resulting in the Smith-like control structure. A final controller can be tuned by a suitable choice of a scalar real parameter. Among many others tuning methods, the equalization method is adopted. Anisochronic models and presented approach is suitable also for high order dynamics approximation and autotuning procedures. First order stable and unstable simulation examples are presented.