A new stability test for two-dimensional discrete systems using bilinear continuous fractions

Author

Kanellakis, A. ; Theodorou, N. ; Tzafestas, S.

Author_Institution

Dept. of Electr. Eng., Nat. Tech. Univ., Athens, Greece

Volume

36

Issue

1

fYear

1989

fDate

1/1/1989 12:00:00 AM

Firstpage

141

Lastpage

144

Abstract

An algorithm for testing the stability of single-input single-output (SISO) two-dimensional discrete-time systems is presented, using a method in the z-domain exclusively. It is based on expanding the bilinear discrete reactance function into z-domain continuous fractions in a mixed fashion. It is faster than B.M. Karan and M.C. Srivastava´s algorithm (1986) and compares favorably with the commonly used tabular form of testing stability of 2-D systems. Two examples are given to illustrate the method and its practical implementation

Keywords

control system analysis; discrete time systems; multidimensional systems; stability; 2D systems; SISO systems; bilinear continuous fractions; bilinear discrete reactance function; control system analysis; discrete-time systems; multidimensional systems; single-input single-output; stability test; two-dimensional discrete systems; z-domain; Circuit synthesis; Circuit testing; Circuits and systems; Electronic circuits; Laplace equations; Network synthesis; Robots; Stability; System testing; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.16580

Filename

16580