Application of multilevel multirate sampled-data controllers to simultaneous pole assignment problem

A new method of simultaneous pole assignment and simultaneous stabilization of h plant models P_j (j =1,. . .,h) is studied in detail. It uses multirate sampled-data controllers and includes two key ideas. The first is the introduction of the perturbation structure assumption on the plant models (i.e., the assumption that a part of P_j is fixed for all j). This assumption seems fairly feasible if P_j´s are the models of a single object under different conditions or the models of many objects which perform the same function. The second key idea is the use of multistructured multirate sampled-data controllers, which might offer a new horizon for a wide class of control problems other than simultaneous stabilization. The basic idea of the method was presented previously by the authors, together with the condition of simultaneous stabilizability and pole assignability for the case of a certain type of double-structured controller. In the present work, the methods of designing the double-structured controllers for such design purposes are described in more detail, and a feature of the approach in contrast with a previous one is shown