State feedback control design for 2-d GSSM with delays under the disturbance attenuation objective

Author

Izuta, Guido

Author_Institution

Yonezawa Womens Coll., Yamagata

Volume

1

fYear

0

fDate

0-0 0

Firstpage

2393

Lastpage

2397

Abstract

In this paper, we deal with the control design of the 2D general state space model with delays, in which the delayless model is called in the literature the general state space model for 2D linear digital system. The aim is to establish a state feedback controller yielding a feedback system endowed with the disturbance attenuation characteristic. To accomplish it, we propose a Lyapunov function, which allows us to solve the problem on the grounds of the linear matrix inequality (LMI) formalism

Keywords

Lyapunov methods; control system synthesis; delays; linear matrix inequalities; linear systems; state feedback; state-space methods; 2D general state space model; 2D linear digital system; Lyapunov function; disturbance attenuation; linear matrix inequality; state feedback control design; Attenuation; Control design; Control systems; Delay systems; Difference equations; Feedback control; Linear matrix inequalities; Lyapunov method; State feedback; State-space methods; 2-d general state space model with delays; controller design; disturbance attenuation; state feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712789

Filename

1712789