Algebraic System Theory as a Tool for Regulator Design

When the characteristics of a system, its environment and the specifications are given in terms of external models it is very natural to use algebraic system theory to design control systems. Different problems of this type are discussed in the paper. It is shown that many design problems can be solved in a uniform, simple and direct way using algebraic system theory. Relations to other methods of solving the design problem are also discussed. The importance of Blomberg’s contributions to the pole-zero cancellation problem is also discussed.