Stability analysis of pulse-modulated systems with an application to space launchers*

In this paper, the conservatism of the Popov criterion for pulse-modulated systems by Gelig and Churilov (1998) is reduced by means of new quadratic constraints. The original and new criteria are used to assess stability of a simple but representative one degree of freedom space launcher model controlled by a pulse-modulated torque signal. The improvements brought by the extended version of the multiplier are shown in the application.