Filtering Optimization

Abstract

In system modelling, we often encounter the dilemma of choosing a suitable topological structure to meet the required design criteria. This requirement can sometimes be conflicting, constrained and not always mathematically solvable. Thus far, the black-art technique is still being applied and can be succeeded only by the trial-and-error method. In this chapter, the HGA is demonstrated as being an innovative scheme to tackle problems of this nature. The determination of an Infinite Impulse Response (IIR) filter structure is a classic problem that can be solved by this method. The other application is the optimal low order weighting functions for the design of H^∞ control, using the Loop Shaping Design Procedure (LSDP). Here a detailed account for both design methods is presented, and the essences of applying the HGA as a topological optimizer are accurately described.