Sensor positioning for processes described by bilinear equations
Résumé
The control of a process requires a minimum of representative information on its operating state. This information can be obtained by both direct means (sensors) or indirect means (with mathematical models). It frequently occurs that the number of direct measurements is not sufficient to allow unmeasured variables to be deduced and additional sensors have to be installed to render the required variables observable. This paper presents a new technique for placing sensors in systems described simultaneously by linear and bilinear equations. It takes into account placement constraints and complete observability is obtained. Moreover it is pointed out that, from an observability point of view, a bilinear system may be studied by considering a succession of linear systems.