Static output feedback control synthesis for linear systems with time-invariant parametric uncertainties

被引：130
作者：
Dong, Jiuxiang [1 ]
Yang, Guang-Hong
机构：
[1] Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110004, Peoples R China
[2] Northeastern Univ, Minist Educ, Key Lab Integrated Automat Proc Ind, Shenyang 110004, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2007年 / 52卷 / 10期
关键词：
linear matrix inequalities (LMIs); parameter dependent; Lyapunov functions; robust control; static output feedback (SOF); time-invariant uncertainty;
D O I：
10.1109/TAC.2007.906227
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 technical note is concerned with the problem of designing robust static output feedback controllers for linear discrete and continuous-time systems with time-invariant polytopic uncertainties. Sufficient conditions for static output feedback stabilizing controller designs are given in terms of solutions to a set of linear matrix inequalities. Furthermore, the results are also extended to H-2 static output feedback controller designs. Numerical examples are given to illustrate the effectiveness of the proposed design methods.
引用
收藏
页码：1930 / 1936
页数：7
相关论文
共 38 条
[1]  
[Anonymous], IEEE T AUTOMATIC CON
[2]   Continuous-time analysis, eigenstructure assignment, and H2 synthesis with enhanced linear matrix inequalities (LMI) characterizations [J].
Apkarian, PC ;
Tuan, HD ;
Bernussou, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) :1941-1946
[3]   Static output feedback stabilization with H∞ performance for linear discrete-time systems [J].
Bara, GL ;
Boutayeb, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :250-254
[4]   A static-output-feedback design procedure for robust emergency lateral control of a highway vehicle [J].
Benton, RE ;
Smith, D .
IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2005, 13 (04) :618-623
[5]   A descriptor system approach to robust stability analysis and controller synthesis [J].
Cao, YY ;
Lin, ZL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (11) :2081-2084
[6]   Static output feedback stabilization: An ILMI approach [J].
Cao, YY ;
Lam, J ;
Sun, YX .
AUTOMATICA, 1998, 34 (12) :1641-1645
[7]   Sufficient LMI conditions for output feedback control problems [J].
Crusius, CAR ;
Trofino, A .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :1053-1057
[8]   Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties [J].
Daafouz, J ;
Bernussou, J .
SYSTEMS & CONTROL LETTERS, 2001, 43 (05) :355-359
[9]   A new discrete-time robust stability conditions [J].
de Oliveira, MC ;
Bernussou, J ;
Geromel, JC .
SYSTEMS & CONTROL LETTERS, 1999, 37 (04) :261-265
[10]   A class of robust stability conditions where linear parameter dependence of the Lyapunov function is a necessary condition for arbitrary parameter dependence [J].
de Oliveira, MC ;
Geromel, JC .
SYSTEMS & CONTROL LETTERS, 2005, 54 (11) :1131-1134
1234