2-D Representation and Generalized Kalman-Yakubivich-Popov Lemma of One Dimensional Spatially Interconnected Systems

被引：0

作者：

Xu, Huiling ^{[1
]}

Shu, Zhan ^{[2
]}

Wang, Guopeng ^{[1
]}

Bai, Hongyang ^{[3
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Jiangsu, Peoples R China

[2] Univ Southampton, Fac Engn & Environm, Southampton, Hants, England

[3] Nanjing Univ Sci & Technol, Sch Energy & Power Engn, Nanjing 210094, Jiangsu, Peoples R China

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

Generalized Kalman-Yakubivich-Popov lemma; 2-D hybrid Roesser model; Spatially Interconnected Systems; 2-DIMENSIONAL SYSTEMS; MODEL; FILTERS; DESIGN;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：1767 / 1771

页数：5

共 7 条

[1] N-D representation and generalised Kalman-Yakubivich-Popov lemma of spatially interconnected systems with interconnected chains
Wang, Guopeng
Xu, Huiling
Zhai, Xiaokai
Yao, Juan
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (15) : 3160 - 3171
[2] Generalized Kalman-Yakubovich-Popov Lemma for 2-D FM LSS Model
Li, Xianwei
Gao, Huijun
Wang, Changhong
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (12) : 3090 - 3103
[3] Generalized Kalman-Yakubovich-Popov Lemma based stability conditions for 2D linear systems
Paszke, Wojciech
Rogers, Eric
Galkowski, Krzysztof
2016 EUROPEAN CONTROL CONFERENCE (ECC), 2016, : 2608 - 2613
[4] Generalized Kalman-Yakubovich-Popov Lemma for 2-D FM LSS Model and Its Application to Finite Frequency Positive Real Control
Li, Xianwei
Gao, Huijun
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 6991 - 6996
[5] A generalized Kalman filter for 2-D discrete systems
Zou, Y
Sheng, M
Zhong, NF
Xu, SY
2004 47TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL II, CONFERENCE PROCEEDINGS, 2004, : 545 - 548
[6] A generalized Kalman filter for 2-D discrete systems
Zou, Y., IEEE Circuits and Systems Society; Hiroshima University (Institute of Electrical and Electronics Engineers Inc.):
[7] Two-dimensional (2D) systems approach to feedforward/feedback control of a class of spatially interconnected systems
Sulikowski, Bartlomiej
Galkowski, Krzysztof
Kummert, Anton
Rogers, Eric
INTERNATIONAL JOURNAL OF CONTROL, 2018, 91 (12) : 2780 - 2791

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