A Nyquist-type stability test for multivariable distributed systems

Author

Luse, D.W.

Author_Institution

Dept. of Electr. Eng., Virginia Polytech. Inst., Blacksburg, VA, USA

Volume

33

Issue

6

fYear

1988

fDate

6/1/1988 12:00:00 AM

Firstpage

563

Lastpage

566

Abstract

A multivariable Nyquist criterion is given that applies to a wide class of open-loop transfer matrices, including some that are improper or have infinitely many poles in the right-half plane. Application of the test to specific examples requires only elementary knowledge of complex variable theory. The actual test requires operations similar to those used in the standard Nyquist test. The simplicity of the frequency-domain description of the class T (analyticity and polynomial boundedness) makes it relatively easy to verify if the test is applicable to a given transfer matrix

Keywords

Nyquist criterion; distributed parameter systems; multivariable control systems; Nyquist-type stability test; analyticity; complex variable theory; distributed parameter systems; multivariable Nyquist criterion; multivariable control systems; open-loop transfer matrices; polynomial boundedness; Adaptive control; Automatic control; Error correction; Feedback; Linear systems; Robust control; Robust stability; Robustness; Signal analysis; System testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.1252

Filename

1252