Title :
Stability analysis of pulse-width-modulated feedback systems with type 2 modulation: the critical case
Author_Institution :
Dept. of Electr. & Comput. Eng., St. Cloud State Univ., MN, USA
Abstract :
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.
Keywords :
Lyapunov methods; asymptotic stability; poles and zeros; pulse width modulation; state feedback; Lagrange stability; Lyapunov stability; PWM feedback system stability analysis; critically stable linear plant; natural sampling; poles; pulse-width-modulated feedback systems; stability bound; type 2 modulation; uniform asymptotic stability; Asymptotic stability; Clouds; Computer aided software engineering; Feedback; Lagrangian functions; Pulse modulation; Pulse width modulation; Sampling methods; Space vector pulse width modulation; Stability analysis;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1465305
