Variable structure output feedback control design for a class of uncertain dynamic systems

被引:103
作者
Choi, HH [1 ]
机构
[1] Andong Natl Univ, Dept Elec Educ, Seoul 760749, South Korea
关键词
variable structure control; output feedback; linear matrix inequality (LMI); uncertain dynamic systems; Riccati equations;
D O I
10.1016/S0005-1098(01)00211-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we consider the problem of designing a variable structure output feedback control (VSOFC) law for a class of uncertain systems with mismatched uncertainty in the state matrix. We derive existence conditions of linear sliding surfaces in terms of constrained linear matrix inequalities (LMIs), and we give VSOFC strategies. We also give a simple design procedure and parameterizations of the linear switching surfaces, together with solvability conditions for the given constrained LMIs. Finally, we give a design example in order to show the effectiveness of our method. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:335 / 341
页数:7
相关论文
共 17 条
[2]   An explicit formula of linear sliding surfaces for a class of uncertain dynamic systems with mismatched uncertainties [J].
Choi, HH .
AUTOMATICA, 1998, 34 (08) :1015-1020
[3]   A new method for variable structure control system design: A linear matrix inequality approach [J].
Choi, HH .
AUTOMATICA, 1997, 33 (11) :2089-2092
[4]  
CHOI HH, 1996, P CIRC SYST COMP 96, P645
[5]   OUTPUT-FEEDBACK STABILIZATION OF UNCERTAIN PLANTS - A VARIABLE STRUCTURE SYSTEMS-APPROACH [J].
EMELYANOV, SV ;
KOROVIN, SK ;
NERSISIAN, AL ;
NISENZON, YE .
INTERNATIONAL JOURNAL OF CONTROL, 1992, 55 (01) :61-81
[6]   DISCONTINUOUS OUTPUT-FEEDBACK STABILIZING AN UNCERTAIN MIMO PLANT [J].
EMELYANOV, SV ;
KOROVIN, SK ;
NERSISIAN, AL ;
NISENZON, YY .
INTERNATIONAL JOURNAL OF CONTROL, 1992, 55 (01) :83-107
[7]   THE CONSTRAINED LYAPUNOV PROBLEM AND ITS APPLICATION TO ROBUST OUTPUT-FEEDBACK STABILIZATION [J].
GALIMIDI, AR ;
BARMISH, BR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (05) :410-419
[8]   New results on output-feedback variable structure model-reference adaptive control: Design and stability analysis [J].
Hsu, L ;
Lizarralde, F ;
deAraujo, AD .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (03) :386-393
[9]  
Hsu L, 1998, IEEE T AUTOMAT CONTR, V43, P1338, DOI 10.1109/9.718630
[10]   VARIABLE STRUCTURE CONTROL - A SURVEY [J].
HUNG, JY ;
GAO, WB ;
HUNG, JC .
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 1993, 40 (01) :2-22