Parameter-dependent Robust Stability of Time-Delay Systems

被引:0
作者
Kririm, Said [1 ]
Hmamed, Abdelaziz [1 ]
Tadeo, Fernando [2 ]
机构
[1] Fac Sci Dhar El Mehraz, LESSI, Dept Phys, BP 1796, Fes, Morocco
[2] Univ Valladolid, Dept Ingn Sistemas & Automat, E-47005 Valladolid, Spain
来源
14TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL & COMPUTER ENGINEERING STA 2013 | 2013年
关键词
Delay-dependence; Linear matrix inequality; Parameter-dependence; Robust stability; Time-delay systems; H-INFINITY CONTROL; LINEAR-SYSTEMS; STABILIZATION;
D O I
暂无
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 paper presents a new delay-dependent and parameter-dependent robust stability criterion for linear continuous-time systems with polytopic parameter uncertainties. This criterion, expressed as set of linear matrix inequalities, The present method incorporates a relaxed parameter-dependent technique combined with a recently proposed idea of introducing slack variables matrices. The present result is also less conservative than existing stability tests using parameter-dependent methods. Numerical examples are given to show the less conservativeness of the results.
引用
收藏
页码:79 / 83
页数:5
相关论文
共 20 条
[1]   Optimal filtering for linear state delay systems [J].
Basin, M ;
Rodriguez-Gonzalez, J ;
Martinez-Zuñiga, R .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :684-690
[2]  
Boukas EK, 2006, INT J INNOV COMPUT I, V2, P283
[3]  
Boyd S., 1994, LINEAR MATRIX INEQUA
[4]  
Chen B, 2006, INT J INNOV COMPUT I, V2, P293
[5]   Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions [J].
Feron, E ;
Apkarian, P ;
Gahinet, P .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (07) :1041-1046
[6]   Parameter dependent stability and stabilization of uncertain time-belay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (05) :861-866
[7]   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
[8]   An improved stabilization method for linear time-delay systems [J].
Fridman, E ;
Shaked, U .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937
[9]   Comments and further results on "A descriptor system approach to H∞ control of linear time-delay systems" [J].
Gao, HJ ;
Wang, CH .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) :520-525
[10]   Parameter-dependent robust stability of uncertain time-delay systems [J].
Gao, Huijun ;
Shi, Peng ;
Wang, Junling .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 206 (01) :366-373