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含状态项积分的时滞非线性系统鲁棒控制 被引量：2

Robust control of a class of time-delay nonlinear systems with state integration
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摘要 研究了含状态变量积分项的一类状态时滞、控制输入时滞的非线性系统的鲁棒稳定性问题。给出了新的坐标变换,构造了Lyapunov-Krasovskii函数,并设计了相应的控制器,控制器的增益系数可通过求解线性矩阵不等式得到。数值计算实例表明,相对于某些控制器,所给出的控制器可使具有较大状态时滞的不确定线性系统一致鲁棒稳定,显示了该控制器具有较广泛的适应性。 Robust control stabilization problem for a class of continuous nonlinear systems with time- delays in state vector and control input and with state integration was studied. A special state transform, Lyapunov-Krasovskii function, and controller design was proposed. The controller gain was obtained through linear matrix inequality. This controller can make the systems with large state and control input time-delay asymptotic stable. Numerical example demonstrates that this controller can also guarantee asymptotic stability for nonlinear systems with uncertainties and large state time- delay and suitability.
作者 李自立 陈增强 袁著祉
机构地区 南开大学自动化系
出处 《吉林大学学报（工学版）》 EI CAS CSCD 北大核心 2007年第6期1392-1396,共5页 Journal of Jilin University:Engineering and Technology Edition
基金 国家自然科学基金资助项目(60574036) 教育部新世纪优秀人才支持计划项目(NCET-2005-229) 高等学校博士学科点专项科研基金资助项目(20050055013) 教育部科学技术研究重点项目(107024)
关键词 自动控制技术 非线性系统 时滞系统 鲁棒稳定 线性矩阵不等式(LMI) 李雅普诺夫函数 automatic control technology nonlinear system time-delay system robust stability Linear Matrix Inequality （LMI） Lyapunov function
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献9

  • 1Han Q L. Robust stability of uncertain delay-differential systems of neutral type [J]. Automatica, 2002, 38(5): 719-723.
  • 2Kim J H. Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty[J]. IEEE Transactions on Automatic Control, 2002, 46(5): 789-792.
  • 3Lien C H, Yu K W, Hsich J G. Class of neutral systems with multiple time delays[J]. Journal of Mathematica Analysis and Applications, 2000, 245 (1) : 20-27.
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同被引文献18

  • 1张群亮,关新平.不确定关联时滞系统的鲁棒H_∞滤波[J].控制理论与应用,2004,21(2):267-270. 被引量：10
  • 2王月明.动车组制动技术[M].北京:中国铁道出版社,2004:43～64.
  • 3Nankyo M, Ishihara T, Inooka H. Feedback control of braking deceleration on railway vehicle[J]. Jour- nal of Dynamic Systems Measurement and Control- Transactions of the ASME, 2006, 128(2): 244- 250.
  • 4Gu K Q, Kharitonov L, Chen J. Stability of Time- delay Systems[M]. Boston, USA: Birkhauser, 2003: 1-27.
  • 5Richard J R. Time-delay systems: an overview of some recent advances and open problems[J]. Auto- matica, 2003, 39(10): 1667-1694.
  • 6Bekiaris L N, Krstic M. Stabilization of linear strict- feedback systems with delayed integrators[C]//A- merican Control Conference. Piscataway, NJ, USA: IEEE, 2010: 6579-6584.
  • 7Krstic M. Lyapunov stability of linear predictorfeedback for time-varying input delay [ J]. IEEE Transactions on Automatic Control, 2010, 55 (2) : 554-559.
  • 8Mazenc F, Bliman P. Backstepping design for time- delay nonlinear systems[J]. IEEE Transactions on Automatic Control, 2006, 51(1): 149-154.
  • 9Mazenc F, Niculescu S I, Bekaik M. Stabilization of nonlinear systems with delay in the input through backstepping[C]//50th IEEE Conference on Deci- sion and Control and European Control Conference. Piscataway, NJ, USA: IEEE, 2011: 7605-7610.
  • 10Yamazaki H, Marumo Y, Iizuka Y, et al. Driver model simulation for railway brake systems[C]//4th lET International Conference on Railway Condition Monitoring. Piscataway, NJ.. IEEE, 2008.. 1-6.

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二级引证文献16

吉林大学学报（工学版）
2007年 第6期

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