A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay

被引:13
作者
Gao J.-F. [1 ]
Pan H.-P. [1 ]
Ji X.-F. [2 ]
机构
[1] Institute of Automation, Zhejiang Sci-Tech University
[2] School of Electrical and Information Engineering, Jiangsu University
来源
Zidonghua Xuebao/Acta Automatica Sinica | 2010年 / 36卷 / 06期
基金
中国国家自然科学基金;
关键词
Absolute stability; Linear matrix inequality (LMI); Lurie system; Nonlinearity; Time-varying delay;
D O I
10.3724/SP.J.1004.2010.00845
中图分类号
学科分类号
摘要
The problem of absolute stability analysis for Lurie systems with time-varying delay and norm-bounded parameter uncertainties is considered. By using a new Lyapunov-Krasovskii functional, which splits the whole delay interval into two subintervals and defining a different energy function on each subinterval, some new delay-dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities (LMIs). The obtained delay-dependent criteria are less conservative than previous ones, which are illustrated by numerical examples. Copyright © 2010 Acta Automatica Sinica. All right reserved.
引用
收藏
页码:845 / 850
页数:5
相关论文
共 22 条
[1]  
Lurie A.I., On Some Nonlinear Problems in the Theory of Automatic Control, (1957)
[2]  
Popov V.M., Halanay A., About stability of nonlinear controlled systems with delay, Automation and Remote Control, 23, 7, pp. 849-851, (1962)
[3]  
Park P., A revised Popov criterion for nonlinear Lurie systems with sector-restrictions, International Journal of Control, 68, 3, pp. 461-469, (1997)
[4]  
Margaliot M., Yfoulis C., Absolute stability of third-order systems: a numerical algorithm, Automatica, 42, 10, pp. 1705-1711, (2006)
[5]  
Nian X.-H., Delay dependent conditions for absolute stability of Lurie type control systems, Acta Automatica Sinica, 25, 4, pp. 564-566, (1999)
[6]  
Xu B., Wang Q., LMI approach for absolute stability of general neutral type Lurie indirect control systems, Journal of Control Theory and Applications, 3, 4, pp. 387-392, (2005)
[7]  
Somolines A., Stability of Lurie type functional equations, Journal of Differential Equations, 26, 2, pp. 191-199, (1977)
[8]  
Han Q.L., Absolute stability of time-delay systems with sector-bounded nonlinearity, Automatica, 41, 12, pp. 2171-2176, (2005)
[9]  
Martins A., Alberto L., Bretas N., Uniform estimates of attracting sets of extended Lurie systems using LMIs, IEEE Transactions on Automatic Control, 51, 10, pp. 1675-1678, (2006)
[10]  
Gao J., Su H.Y., Ji X.F., Chu J., Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity, Nonlinear Analysis: Real World Applications, 9, 5, pp. 2350-2360, (2008)