Optimization of a Certain Quality of Complete Controllability and Observability for Linear Dynamical Systems

Abstract

The problem of assigning a physically meaningful measure of the “quality” of controllability and observability to dynamical systems which are completely controllable and/or completely observable is considered. One particular analytical measure of quality, for a class of linear dynamical systems, is proposed and an effective computational procedure for maximizing the proposed quality, with respect to certain adjustable structural parameters of the dynamical system, is described. Three illustrative examples are worked in detail.