Stability in the Pseudo-state Formalism of Discrete Systems Controlled in the Presence of Intermittent Sensor Faults

Abstract

This paper presents sufficient conditions for the stabilization of open-loop unstable discrete time invariant systems, with nonlinear actuators, described in the pseudo-state formalism, stabilized by state feedback, when intermittent observations due to sensor faults occur. It is shown that the closed-loop system with feedback through a reconstructed signal, when, at least, one of the sensors is unavailable, remains uniformly exponentially stable, provided that the intervals of unavailability satisfy a certain time bound, even in the presence of state vanishing perturbations. The result is proved for a class of Hammerstein systems.