Stability and control of a physical class of 2D continuous-discrete linear systems using an LMI setting

Author

Galkowski, Krzysztof ; Paszke, W. ; Sulikowski, B. ; Rogers, E. ; Xu, Songcen ; Lam, S. Xu J ; Owens, D.H.

Author_Institution

Inst. of Control & Comput. Eng., Zielona Gora Univ., Poland

Volume

6

fYear

2003

fDate

4-6 June 2003

Firstpage

5058

Abstract

In this paper we give new results on the analysis and control of differential linear repetitive processes, which are a distinct class of 2D linear systems of both systems theoretic and applications interest. The new results relate to stability and control in the presence of uncertainty in the process state space model. The family of control laws used has a well defined physical basis in terms of the underlying process dynamics.

Keywords

continuous time systems; control systems; discrete systems; linear matrix inequalities; linear systems; stability; 2D continuous-discrete linear system; LMI setting; control law; differential linear repetitive process; linear matrix inequalities; physical class control; physical class stability; process state space model; Algorithm design and analysis; Automatic control; Computer science; Control engineering computing; Control systems; Iterative algorithms; Linear systems; Optimal control; Stability analysis; System testing;

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.2003.1242528

Filename

1242528