Frequency response envelopes of a family of uncertain continuous-time systems

Author

Levkovich, Avraham ; Zeheb, Ezra ; Cohen, Nir

Author_Institution

Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

42

Issue

3

fYear

1995

fDate

3/1/1995 12:00:00 AM

Firstpage

156

Lastpage

165

Abstract

Amplitude and phase envelopes of a family of interval rational transfer functions of continuous-time systems are derived. A finite number of intervals on the real frequency axis are explicitly determined, for which the maximum and the minimum amplitude or phase of the functions, with respect to the interval coefficients, coincide with explicit fixed coefficients functions. Some special cases where simplifications are applicable, are pointed out. Illustrative examples that are consistent with the derived results are provided

Keywords

continuous time filters; elliptic filters; frequency response; transfer functions; uncertain systems; elliptic filters; explicit fixed coefficients functions; frequency response envelopes; interval coefficients; interval rational transfer functions; real frequency axis; uncertain continuous-time systems; Frequency response; Mathematical model; Noise measurement; Passive circuits; Polynomials; Production systems; Systems engineering and theory; Transfer functions; Uncertainty;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.376874

Filename

376874