全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

依赖延迟线性时滞系统的稳定性判据

DOI: 10.3724/SP.J.1004.2013.02150, PP. 2150-2153

Keywords: 控制理论,时滞系统,拟多项式,二维多项式,稳定性判据

Full-Text   Cite this paper   Add to My Lib

Abstract:

?由于独立延迟线性时滞(Lineartime-delaywithindependentdelays,LTD-ID)系统的稳定条件对系统参数有严格的限制,只有极少数依赖延迟线性时滞(LTDwithdependentdelays,LTD-DD)系统可满足该稳定条件.LTD-ID系统的特征多项式属拟多项式,其根为多重延迟的函数,这使得LTD-ID系统的稳定性检验非常困难.为解决该问题,基于二维域混合多项式,本文提出LTD-DD系统的若干稳定性判据.应用例表明所提出的稳定性判据是简单的和有效的,所提出的定理4可解决现有LMI稳定性判据的保守性问题.

References

[1]  Fridman E, Shaked U. An improved stabilization method for linear time-delay systems. IEEE Transactions on Automatic Control, 2002, 47(11): 1931-1937
[2]  Zhang Xian-Ming, Wu Min, He Yong. Delay-dependent stability for linear neutral type systems with delay. Acta Automatica Sinica, 2004, 30(3): 624-628(张先明, 吴敏, 何勇. 中立型线性时滞系统的时滞相关稳定性. 自动化学报, 2004, 30(4): 624-628)
[3]  Du B, Lam J, Shu Z, Wang Z. A delay-partitioning projection approach to stability analysis of continuous systems with multiple delay components. IET Control Theory and Applications, 2009, 3(4): 383-390
[4]  Xiao Y. 2-D algebraic test for robust stability of quasipolynomials with interval parameters. Asian Journal of Control, 2006, 8(2): 174-179
[5]  Xiao Yang. Stability Analysis of Multidimensional Systems. Shanghai: Shanghai Scientific and Technical Publishers, 2003. 187-191(肖扬. 多维系统的稳定性分析. 上海: 上海科学技术出版社, 2003. 187-191)
[6]  Munz U, Ebenbauer C T, Haag T, Allgower F. Stability analysis of time-delay systems with incommensurate delays using positive polynomials. IEEE Transactions on Automatic Control, 2009, 54(5): 1019-1024
[7]  Xu S Y, Lam J, Zou Y. Further results on delay-dependent robust stability conditions of uncertain neutral systems. International Journal of Robust and Nonlinear Control, 2005, 15(5): 233-246
[8]  Li T, Gao L, Lin C. A new criterion of delay-dependent stability for uncertain time-delay systems. IET Control Theory and Applications, 2007, 1(3): 611-616
[9]  Park G S, Choi H L, Lim J T. On stability of linear time-delay systems with multiple delays. International Journal of Systems Science, 2008, 39(8): 839-852
[10]  Xiao Y. 2-D algebraic test for robust stability of time-delay systems with interval parameters. Journal of Systems Engineering and Electronics, 2006, 17(4): 802-810
[11]  Xiao Yang, Kim K. Stability test for time-delay partial differential equation systems. Journal of Applied Sciences Electronics and Information Engineering, 2008, 26(6): 655-660 (肖扬, Kim K. 时滞偏微分方程系统的稳定性检验. 应用科学学报, 2008, 26(6): 655-660)
[12]  Chen J, Niculescu S I, Fu P L. Robust stability of quasi-polynomials: frequency-sweeping conditions and vertex tests. IEEE Transactions on Automatic Control, 2008, 53(5): 1219-1234
[13]  Sipahi R, Delice I I. Advanced clustering with frequency sweeping methodology for the stability analysis of multiple time-delay systems. IEEE Transactions on Automatic Control, 2011, 56(2): 467-472

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133