Finite sum equality approach to H∞ output-feedback control for switched linear discrete-time systems with time-varying delay

被引:15
作者
Hu, K. [1 ,2 ]
Yuan, J. [2 ]
机构
[1] Luoyang Inst Sci & Technol, Dept Elect Engn & Automat, Luoyang 471023, Henan, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
关键词
DEPENDENT ROBUST STABILIZATION; LYAPUNOV FUNCTION-APPROACH; STATE DELAY; STABILITY; INEQUALITY;
D O I
10.1049/iet-cta.2008.0122
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 study deals with the problem of H-infinity output-feedback control for switched linear discrete-time systems with time-varying delay. A delay-dependent stability criterion for a given H-infinity performance is derived by employing finite sum equality based on quadratic terms, a new method of estimating the upper bound on the finite sum. Both static and dynamic H-infinity output-feedback controllers are designed based on a performance analysis. Moreover, a modified cone complementary linearisation algorithm is exploited to solve the nonconvex feasibility problem. Numerical examples are given to illustrate the theoretical results.
引用
收藏
页码:1006 / 1016
页数:11
相关论文
共 27 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]  
Boyd S, 1994, LINEAR MARTIX INEQUA
[3]   Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].
Branicky, MS .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482
[4]   Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].
Daafouz, J ;
Riedinger, P ;
Iung, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887
[5]   Delay-dependent robust stabilisation of uncertain discrete-time switched systems with time-varying state delay [J].
Du, Dongsheng ;
Jiang, Bin ;
Zhou, Shaosheng .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (03) :305-313
[6]   H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach [J].
Du, Dongsheng ;
Jiang, Bin ;
Shi, Peng ;
Zhou, Shaosheng .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1520-1525
[7]   A cone complementarity linearization algorithm for static output-feedback and related problems [J].
ElGhaoui, L ;
Oustry, F ;
AitRami, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (08) :1171-1176
[8]   Delay-dependent stability and H∞ control:: constant and time-varying delays [J].
Fridman, E ;
Shaked, U .
INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (01) :48-60
[9]   A descriptor system approach to H∞ control of linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :253-270
[10]   Delay-dependent output-feedback stabilisation of discrete-time systems with time-varying state delay [J].
Gao, H ;
Lam, J ;
Wang, C ;
Wang, Y .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (06) :691-698