Stability analysis of pulse-width-modulated feedback systems with type 2 modulation: The critical case

In this paper the author presents new Lyapunov and Lagrange stability results for the critical case of pulse-width-modulated (PWM) feedback systems with type 2 modulation. The linear plant considered herein is assumed to be critically stable, i.e., the plant has one and only one pole at the origin and the rest of the poles are in the left half of the complex plane. An algorithm is incorporated to allow easy calculation of the stability bound. The applicability of the present results is demonstrated by means of two specific examples.