OPTIMAL MODEL SIMPLIFICATION OF QUASIRATIONAL AND RETARDED DISTRIBUTED SYSTEMS AND THEIR USE FOR RAPID DESIGN OF SIMPLE CONTROLLERS

OPTIMAL MODEL SIMPLIFICATION OF QUASIRATIONAL AND RETARDED DISTRIBUTED SYSTEMS AND THEIR USE FOR RAPID DESIGN OF SIMPLE CONTROLLERS

The optimal model simplification technique which was originally proposed for the simplification of systems having simple delays in the numerator transfer functions has been extended to systems having several numerator delays such as quasirational and related systems. This extension also takes care of situations when the model has the additional complexity of possessing integral, double integral, or higher type factors, once their step responses are bounded. The design of simple feedback controllers for such systems has engaged the attention of researchers for sometime. In this work, it is shown that by using the internal model control method, the optimal simplified models can be used to parametrize simple feedback controllers for these systems. This procedure facilitates the deployment of a very effective and powerful controller design technique for quasirational distributed and related systems. It is further demonstrated that contrary to previous works, proportional plus integral controllers can be used to effectively control these systems.