Optimization-Based Direct Frequency Domain Design of Controllers for Linear Distributed Systems

A CAD methodology is developed for the design of controllers for linear distributed systems incorporating the following key components: (i) Transfer function models of distributed systems and their approximations; (ii) Recent frequency domain design methodology for multi-variable control systems; (iii) Interactive optimization packages (DELIGHT) in the search for feasible designs satisfying practical engineering specifications. Primarily specifications on the shape of the frequency response and of the unit step response will be considered. The application of the method for large space structures is explained via simple examples including beams and plates.