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
[21]   Robust stabilization for a class of discrete-time non-linear systems via output feedback: the unified LMI approach [J].
Ho, DWC ;
Lu, GP .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (02) :105-115
[22]   Robust Η∞ static output feedback control of fuzzy systems:: An ILMI approach [J].
Huang, D ;
Nguang, SK .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (01) :216-222
[23]   A new LMI condition for robust stability of discrete-time uncertain systems [J].
Kau, SW ;
Liu, YS ;
Hong, L ;
Lee, CH ;
Fang, CH ;
Lee, L .
SYSTEMS & CONTROL LETTERS, 2005, 54 (12) :1195-1203
[24]   A NECESSARY AND SUFFICIENT CONDITION FOR OUTPUT-FEEDBACK STABILIZABILITY [J].
KUCERA, V ;
DESOUZA, CE .
AUTOMATICA, 1995, 31 (09) :1357-1359
[25]   An LMI-based algorithm for designing suboptimal static H2/H∞ output feedback controllers [J].
Leibfritz, F .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 39 (06) :1711-1735
[26]   An improved LMI condition for robust D-stability of uncertain polytopic systems [J].
Leite, VJS ;
Peres, PLD .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :500-504
[27]   Robust H∞ nonlinear control via fuzzy static output feedback [J].
Lo, JC ;
Lin, ML .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (11) :1494-1502
[28]  
Lu LL, 2005, P AMER CONTR CONF, P4315
[29]   A new robust D-stability condition for real convex polytopic uncertainty [J].
Peaucelle, D ;
Arzelier, D ;
Bachelier, O ;
Bernussou, J .
SYSTEMS & CONTROL LETTERS, 2000, 40 (01) :21-30
[30]   Ellipsoidal sets for resilient and robust static output-feedback [J].
Peaucelle, D ;
Arzelier, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (06) :899-904
1234