Pole assignment for three-dimensional systems using two-dimensional dynamic compensators

Author

Kawakami, Atsushi

Author_Institution

Dept. of Electron., Kanazawa Inst. of Technol., Ishikawa, Japan

Volume

3

fYear

1994

fDate

2-5 Oct 1994

Firstpage

2844

Abstract

In this paper, we study the pole assignment problem for 3D systems. We transform the denominator of transfer functions of the closed-loop system into the product of three stable 1D polynomials, by performing 2D dynamical feedback and input transformation on the given 3D systems. Next, we consider the possibility that these 2D dynamic compensators are realizable thoroughly, and propose the counter-measure in a case that they are not realizable. We also obtain the conditions so that the closed-loop 3D systems are stable. Moreover, we calculate the dynamical dimension which is necessary for the pole assignment, and suggest a pole assignment method with the lowest dynamical dimension

Keywords

closed loop systems; feedback; multidimensional systems; pole assignment; polynomial matrices; transfer functions; 1D polynomials; 2D dynamic compensators; 2D dynamical feedback; 3D systems; closed-loop system; dynamical dimension; pole assignment; transfer functions; Digital signal processing; High performance computing; Polynomials; State feedback; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1994. Humans, Information and Technology., 1994 IEEE International Conference on

Conference_Location

San Antonio, TX

Print_ISBN

0-7803-2129-4

Type

conf

DOI

10.1109/ICSMC.1994.400305

Filename

400305