Properties of analog systems with varying parameters [averaging/low-pass filters]

Author

Kaszynski, Roman

Author_Institution

Inst. of Control Eng., Tech. Univ. Szczecin, Poland

Volume

1

fYear

2003

fDate

25-28 May 2003

Abstract

This paper examines the properties of solutions to ordinary differential equations from the point of view of their applications as averaging and low-pass filters. The stationarity of solutions to systems with varying parameters was analyzed together with stability conditions of these systems by making use of the theorem on stability of nonhomogeneous systems when the corresponding homogeneous systems were stable. The transient state was analyzed and the possibility of its shortening was shown. The performed simulations of the variable parameter Butterworth, Legendre and Chebyshev low-pass filters of the 2-nd up to the 6-th order proved the usefulness of the method.

Keywords

Butterworth filters; Chebyshev filters; analogue circuits; circuit stability; differential equations; low-pass filters; network analysis; time-varying filters; transient response; Butterworth filters; Chebyshev filters; Legendre filters; averaging filters; differential equations; nonhomogeneous system stability; stability conditions; stationarity; time-varying filter parameters; transient state analysis; transient state shortening; variable parameter low-pass filters; varying parameter analog systems; Asymptotic stability; Control engineering; Differential equations; Linear systems; Low pass filters; Lyapunov method; Spectral analysis; Stability analysis; Time varying systems; Transient analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205612

Filename

1205612