2-D representation and generalized Kalman-Yakubivich-Popov lemma of one dimensional spatially interconnected systems

Author

Huiling Xu ; Zhan Shu ; Guopeng Wang ; Hongyang Bai

Author_Institution

Sch. of Sci., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2014

fDate

28-30 July 2014

Firstpage

1767

Lastpage

1771

Abstract

This paper presents a 2-D hybrid Roesser model for a class of spatially interconnected systems (SISs) in one spatial dimension. The generalized Kalman-Yakubivich-Popov (KYP) lemma for 2-D hybrid Roesser model is developed, which plays a significant role in the system control and synthesis. As two important applications of the new KYP lemma, the finite frequency bounded realness and positive realness are considered. The results of this paper can be generalized to the class of SISs whose model is in higher spatial dimension.

Keywords

control system synthesis; interconnected systems; 1D spatially interconnected system; 2D hybrid Roesser model; 2D representation; KYP lemma; SIS; control system synthesis; finite frequency bounded realness; generalized Kalman-Yakubivich-Popov lemma; positive realness; spatial dimension; Educational institutions; Electronic mail; Frequency-domain analysis; Interconnected systems; Mathematical model; Multidimensional systems; Stability analysis; 2-D hybrid Roesser model; Generalized Kalman-Yakubivich-Popov lemma; Spatially Interconnected Systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6896896

Filename

6896896