TIME DELAY SYSTEMS – MEROMORPHIC FUNCTIONS CONTROL APPROACH

AbstractThe paper brings an engineering acceptable approach for anisochronic controllers. 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. This contribution deals with so-called anisochronic systems which include delays also in dynamics. Both stable and unstable systems are assumed. 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. The approach is suitable also for high order dynamics approximation and autotuning procedures. First order stable and unstable simulation examples are presented.