A general compensator synthesis approach for generalized systems using (C;E,A;B)-pairs

A complete geometric theory is presented for the design of compensators in generalized systems. The key geometric tool is that of ( C;E,A;B)-pairs. This concept involves the notion of (A, E, B)-invariant subspaces. The authors introduce the use of regular (C;E,A;B)-pairs that guarantees the closed-loop regularity and two coupling conditions, one for the domain and one for the codomain. They show the importance of (C;E,A;B)-pairs, which constitute open-loop information, in describing the possible closed-loop geometric structure under the influence of a dynamic compensator. A general compensator synthesis principle using these results for generalized systems is presented