On discerning controllers for switching linear systems

This paper presents recent developments in the study of non-autonomous switching linear systems. For such systems, we address the issue of how to systematically design linear controllers allowing the active process mode to be observable from closed-loop data. A parametrization of the set of such discerning controllers is given and compatibility with stabilization objectives investigated. It is finally shown how a given family of discerning controllers can be implemented as a single hybrid controller which preserves the discerning capability of the original controllers.