Equation for loop bound in quantitative feedback theory

Author

Wang, G.G. ; Chen, C.W. ; Wang, S.H.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., California Univ., Davis, CA, USA

fYear

1991

fDate

11-13 Dec 1991

Firstpage

2968

Abstract

According to quantitative feedback theory, in the single-input single-output case, there exists at each frequency a lower bound for the nominal loop transmission function to satisfy the frequency-domain specification. It is proved that, in the complex plane, this lower bound is the boundary of a set of circles with centers and radii known. In the Nichols chart, the magnitude of the lower bound may not be a single-valued function of the phase

Keywords

control system analysis; feedback; frequency-domain analysis; stability; Nichols chart; SISO systems; frequency-domain specification; loop bound; lower bound; nominal loop transmission function; quantitative feedback; single-valued function; stability; Bandwidth; Equations; Feedback loop; Frequency; Frequency domain analysis; Stability; Transfer functions; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261088

Filename

261088

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3467641