LMI synthesis of H2 and mixed H2/H∞ controllers for singular systems

被引：86

作者：

Zhang, LQ ^{[1
]}

Huang, B

Lam, J

机构：

[1] Univ Alberta, Dept Chem & Mat Engn, Edmonton, AB T6G 2G6, Canada

[2] Univ Hong Kong, Dept Engn Mech, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2003年 / 50卷 / 09期

关键词：

H2; controller; linear matrix inequality (LMI); mixed H-2/H-infinity controller; singular systems;

D O I：

10.1109/TCSII.2003.816904

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper considers the H-2 control problems for continuous-time singular systems with and without an H-infinity constraint. Without the constraint, we derive necessary and sufficient conditions for the existence of H-2 output feedback controllers using the linear matrix inequality (LMI) approach. With the H-infinity constraint, sufficient LMI conditions on the existence of the H-2 controller are obtained. In both cases, the desired H-2 controller can be constructed through the feasible solutions of the LMIs. The proposed synthesis method is illustrated through numerical examples.

引用

页码：615 / 626

页数：12

共 50 条

[1] Mixed H2/H∞ control for linear singular systems
Ma, SP
Cheng, ZL
[J]. PROCEEDINGS OF THE 4TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-4, 2002, : 283 - 287
[2] Mixed H2/H∞ control problem for descriptor systems via LMI
Sato, K
Oya, M
Kobayashi, T
[J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 205 - 210
[3] H2 and Mixed H2/H∞ Model Reduction for Negative Imaginary Systems
Yu, Lanlin
Xiong, Junlin
[J]. 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[4] Linearly combined suboptimal mixed H2/H∞ controllers
Halder, B
Hassibi, B
Kailath, T
[J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 434 - 439
[5] Subspace controller design to the mixed H2/H∞ synthesis with uncommon LMI solutions
Shimomura, T
Fujii, T
[J]. PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 547 - 549
[6] Mixed H2/H∞ filtering design in multirate transmultiplexer systems:: LMI approach
Chen, BS
Tsai, CL
Chen, YF
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (11) : 2693 - 2701
[7] On the design of active suspension system by H∞ and mixed H2/H∞:: An LMI approach
Abdellahi, E
Mehdi, D
M'Saad, M
[J]. PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4041 - 4045
[8] Design and Application of Suboptimal Mixed H2/H∞ Controllers for Networked Control Systems
Millan, P.
Orihuela, L.
Bejarano, G.
Vivas, C.
Alamo, T.
Rubio, F. R.
[J]. IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2012, 20 (04) : 1057 - 1065
[9] Genetic algorithms for synthesis of mixed H2/H∞ fixed-structure controllers
Krohling, RA
[J]. JOINT CONFERENCE ON THE SCIENCE AND TECHNOLOGY OF INTELLIGENT SYSTEMS, 1998, : 30 - 35
[10] AN ITERATIVE-LMI BASED H2 CONTROL OF SINGULAR PERTURBATION SYSTEMS
Fakharian, Ahmad
Gustafsson, Thomas
[J]. 2011 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), 2011, : 1505 - 1509

← 1 2 3 4 5 →