Abstract
The exact model matching problem described by transfer function matrices is investigated and the problem of observing a set of linear functions of system states from the system outputs only is also discussed by using the duality of the exact model matching problem. The properties of a minimal basis determined by the plant and model transfer function matrices are studied and are applied to obtain an algorithm for the design of a low order compensator (observer) with arbitrary poles. An example is given in order to illustrate the usefulness of the algorithm.
Furthermore, an observer which uses partial plant inputs is considered so that fixed poles which often generate in the unknown input observer are eliminated.
