Robust PD State Feedback Controller Design for Uncertain Singular Systems

被引：0

作者：

Zhu, Jianwu ^{[1
]}

Ding, Yuanchun ^{[2
]}

机构：

[1] Jiangxi Univ Sci & Technol, Sch Mech & Elect Engn, Ganzhou, Peoples R China

[2] Jiangxi Univ Sci & Technol, Fac Resource & Environm Engn, Ganzhou, Peoples R China

来源：

MEMS, NANO AND SMART SYSTEMS, PTS 1-6 | 2012年 / 403-408卷

关键词：

Robust stabilizability; PD controller; singular systems; LMI; DESCRIPTOR SYSTEMS; DERIVATIVE MATRIX; STABILIZATION; STABILITY; DELAY;

D O I：

10.4028/www.scientific.net/AMR.403-408.3813

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

引用

页码：3813 / +

页数：2

共 50 条

[31] Robust H∞ controller design for a class of uncertain systems
郭雷
冯纯伯
Science in China(Series E:Technological Sciences), 1998, (02) : 208 - 214
[32] Bounded robust controller design for a class of uncertain systems
Natl Cheng-Kung Univ, Tainan, Taiwan
Syst Anal Modell Simul, 3 (195-224):
[33] Robust Controller Design for Fuzzy Parametric Uncertain Systems
Bhiwani, R. J.
Patre, B. M.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON CONTROL AUTOMATION, COMMUNICATION AND ENERGY CONSERVATION INCACEC 2009 VOLUME II, 2009, : 996 - 1001
[34] Robust H∞ controller design for a class of uncertain systems
Guo, L
Feng, CB
SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES, 1998, 41 (02): : 208 - 214
[35] Robust controller design for uncertain systems with interval parameters
Xu, Bugong
Kong Zhi Li Lun Yu Ying Yong/Control Theory and Applications, 1996, 13 (05): : 631 - 638
[36] Robust controller design for multivariable nonlinear uncertain systems
Sobhani, M
Rafeeyan, M
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY, 2000, 24 (03): : 345 - 356
[37] Delay-dependent output feedback robust passivity controller design for uncertain delayed systems
Li Gui-Fang
Huang Sheng-Guo
Liu Xing
INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER CONTROL : ICACC 2009 - PROCEEDINGS, 2009, : 453 - 458
[38] A GEVP formulation for robust predictor feedback controller design of linear systems with uncertain input delay
Huang, Chao
Zhang, Linlin
Zhang, Changzhu
Zhang, Hao
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (05) : 909 - 921
[39] Memoryless state feedback controller design for time delay systems with matched uncertain nonlinearities
Hua, Chang-Chun
Wang, Qing-Guo
Guan, Xin-Ping
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (03) : 801 - 807
[40] Robust adaptive output-feedback controller design and analysis of a class of uncertain nonlinear systems
Yang, Chang-Li
Ruan, Rong-Yao
Kongzhi Lilun Yu Yinyong/Control Theory and Applications, 2002, 19 (06):

← 1 2 3 4 5 →