POLE SENSITIVITY STABILITY RELATED MEASURE OF FWL REALIZATIONS WITH THE IMPLICIT STATE-SPACE FORMALISM

The pole-sensitivity approach is an interesting way to analyze the stability of discrete-time control system with a Finite Word Length implemented digital controller. Previous works have introduced a pole-sensitivity stability related measure in this context, and applied it to shift or δ-realizations.This paper generalizes then by considering a more general representation, a particular implicit state-space realization, which is recently known to encompass both classical shift or δ-realization, as well as other interesting parametrizations. Finally, the problem consisting in finding realizations optimizing the FWL closed- loop stability related measure is considered.