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

Author

Hou, Ling

Author_Institution

Dept. of Electr. & Comput. Eng., St. Cloud State Univ., MN, USA

fYear

2005

fDate

23-26 May 2005

Firstpage

3187

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on

Print_ISBN

0-7803-8834-8

Type

conf

DOI

10.1109/ISCAS.2005.1465305

Filename

1465305