Sufficient LMI conditions for H∞ static output feedback control of 2-D systems

Author

Feng, Zhi-Yong ; Xu, Li ; Anazawa, Yoshihisa

Author_Institution

Dept. of Electron. & Inf. Syst., Akita Prefectural Univ., Yurihonjo, Japan

fYear

2010

fDate

7-10 Dec. 2010

Firstpage

57

Lastpage

60

Abstract

This paper investigates the problems of H_∞ static output feedback (SOF) control of two-dimensional (2-D) discrete systems described by the Roesser model and Fornasini-Marchesini second model, respectively. By applying the 2-D Bounded Real Lemma combined with a slack variable technique, some sufficient linear matrix inequality (LMI)-based conditions for the existence of SOF controllers are established. Numerical examples are given to illustrate the effectiveness of the proposed LMI-based design method.

Keywords

H^∞ control; discrete systems; feedback; linear matrix inequalities; 2-D bounded real lemma; 2-D system; Fornasini-Marchesini second model; H_∞ static output feedback control; LMI condition; Roesser model; SOF control; linear matrix inequality; slack variable technique; two dimensional discrete system; Frequency modulation; Linear matrix inequalities; Numerical models; Output feedback; Robustness; Stability analysis; 2-D discrete systems; H∞ control; linear matrix inequality (LMI); static output feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-7814-9

Type

conf

DOI

10.1109/ICARCV.2010.5707419

Filename

5707419