期刊文献+

具有非线性扰动的变时滞中立型系统鲁棒稳定性新判据

A new robust stability criterion for neutral systems with time-varying delays and nonlinear perturbation
下载PDF
导出
摘要 研究一类具有非线性扰动的时变时滞中立型系统鲁棒稳定性问题。基于直接LyapunovKrasovskii泛函并结合自由权矩阵方法的分析方法,建立了线性矩阵不等式(LMI)形式的离散时滞和中立时滞均相关稳定性判据。与以往方法不同,在处理泛函导数时,该方法不包含任何模型变换和涉及交叉项的处理,只是通过引入相关项自由权矩阵,充分考虑各项之间的相互关系,降低了结论的保守性。最后,利用Matlab的LMI工具箱进行了的数值仿真,算例仿真表明所提出的判据的有效性。 The robust stability problem for neutral systems with time-varying delays and nonlinear perturbation is investigated. Based on the direct LyapunowKrasovskii functional approach and free- weighting matrix technology, neutral and discrete delay-dependent stability criteria for the system are formulated in terms of Linear Matrix Inequalities (LMIs). Unlike some existing methodologies, when dealing with the time derivative of Lyapunov-Krasovskii functional, the proposed approach involves nei- ther model transformation nor dealing with the cross-term, and only introduces some free-weighing ma- trix for the correlation terms, in which the relationship between each terms is fully considered, and the less conservative robust stability criteria are proposed accordingly. At last, Matlab Toolbox LMI is used to perform some numerical simulations and the results demonstrate the effectiveness of the proposed stability criteria.
出处 《计算机工程与科学》 CSCD 北大核心 2014年第10期2034-2040,共7页 Computer Engineering & Science
基金 国家自然科学基金资助项目(60904083)
关键词 中立系统 LYAPUNOV-KRASOVSKII泛函 鲁棒稳定 非线性扰动 自由权矩阵 线性矩阵不等式 neutral system Lyapunov-Krasovskii functional robust stability nonlinear perturbations free-weighing matrix linear matrix inequality
  • 引文网络
  • 相关文献

参考文献14

  • 1Gu K,Kharitonov V L,Chen J.Stability of time-delay systems[M].Basel:Birkhauser,2003.
  • 2Han Q-L.Robust stability of uncertain delay-differential systems of neutral type[J].Automatica,2002,38(4):719-723.
  • 3He Y,Wu M,She J-H,et al.Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays[J].Systems&Control Letters,2004,51(1):57-65.
  • 4Wu M,He Y,She J-H.New delay-dependent stability criteria and stabilizing method for neutral systems[J].IEEE Transactions on Automatic Control,2004,49(12):2266-2271.
  • 5Han Q-L,Yu L.Robust stability of linear neutral systems with nonlinear parameter perturbations[J].IEE Proceedings Control Theory and Applications,2004,151(5):539-546.
  • 6Sun J,Liu G-P,Chen J.Delay-dependent stability and stabilization of neutral time-delay systems[J].International Journal of Robust and Nonlinear Control,2009,19(12):1364-1375.
  • 7Kwon O M,Park J H,Lee S M.Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays[J].Applied Mathematics and Computation,2009,207(1):202-212.
  • 8Cao Y,Lam J.Computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbation[J].International Journal of Systems Science,2000,31(3):350-365.
  • 9Han Q-L.Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations[J].Computers and Mathematics with Applications,2004,47(8-9):1201-1209.
  • 10Ramakrishnan K,Ray G.Robust stability criteria for uncertain neutral systems with interval time-varying delay[J].Journal of Optimization Theory and Applications,2011,149(2):366-384.
;
使用帮助 返回顶部