Structural decomposition and its properties of general multivariable linear singular systems

Author

He, Minghua ; Chen, Ben M. ; Lin, Zongli

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

4494

Abstract

We present in this paper a structural decomposition for general multivariable linear singular systems. Such decomposition has a distinct feature of capturing and displaying all the structural properties, such as the finite and infinite zero structures, invertibility structures, and redundant dynamics of the given system. As its counterpart for nonsingular systems, we believe that the technique is a powerful tool in solving control problems for singular systems, including H₂ and H_∞ control and disturbance decoupling problems.

Keywords

H^∞ control; linear systems; matrix algebra; multivariable control systems; poles and zeros; H_∞ problems; H₂ problems; disturbance decoupling problems; finite zero structures; general multivariable linear singular systems; invertibility structures; nonsingular systems; redundant dynamics; structural decomposition; structural properties; structures of infinite zero; Biological control systems; Biological system modeling; Biological systems; Control systems; Displays; Helium; Hydrogen; Power engineering and energy; Power generation economics; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240549

Filename

1240549