Application of return difference matrix to stability analysis for multivariable feedback networks

Author

Tong, Mao-Da ; Chen, Wai-Kai

Author_Institution

Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China

Volume

3

fYear

1995

fDate

30 Apr-3 May 1995

Firstpage

1656

Abstract

It is shown that the return difference matrix possesses the same functions and plays the same important role in stability analysis and design of a multivariable feedback network as it does in control theory. The generalized Nyquist criterion, characteristic loci and other methods of stability analysis and design for multivariable feedback systems in control theory are applicable directly to multivariable feedback networks. In particular, a general frequency stability criterion for a multivariable lumped and distributed-parameter feedback network is presented

Keywords

Nyquist criterion; circuit feedback; circuit stability; distributed parameter networks; linear network analysis; lumped parameter networks; matrix algebra; root loci; characteristic loci; frequency stability criterion; generalized Nyquist criterion; multivariable distributed-parameter feedback network; multivariable feedback networks; multivariable lumped network; rational square matrix; return difference matrix; stability analysis; Bismuth; Control theory; Difference equations; Linear feedback control systems; Matrices; Stability analysis; Stability criteria; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1995. ISCAS '95., 1995 IEEE International Symposium on

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2570-2

Type

conf

DOI

10.1109/ISCAS.1995.523728

Filename

523728