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输入饱和的线性脉冲系统的鲁棒指数稳定性 被引量：5

Robust Exponential Stability of Linear Impulsive Systems with input Saturation
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摘要 研究了输入饱和的线性脉冲系统的鲁棒指数稳定性.首先,对预先给定的状态反馈控制律,运用Lyapunov方法,给出了零解鲁棒指数稳定的充分条件以及零解吸引域的估计.然后,基于线性矩阵不等式,将状态反馈镇定的设计问题转化为凸优化问题.最后,通过两个数值例子验证了文章结果的有效性. Robust exponential stability of linear impulsive systems is studied.First,for an a priori designed state feedback control law,a sufficient condition for robust exponential stability of zero solution is established using Lyapunov approach,an estimation of the attraction domain is also presented.Then,the problem of designing state feedback control law is formulated as a convex optimization problem.Finally,two examples are provided to illustrate the effectiveness of our results.
作者 陈武华 李丹霞 曹敦虔
机构地区 广西大学数学与信息科学学院 广西民族大学数学与计算机科学学院
出处 《广西民族大学学报（自然科学版）》 CAS 2011年第1期68-71,76,共5页 Journal of Guangxi Minzu University ：Natural Science Edition
基金 国家自然科学基金项目资助(60864002) 广西自然科学基金(2011GXNSFA018141)
关键词 脉冲系统 输入饱和 吸引域 Impulsive systems input saturation attraction domain
分类号 O231 [理学—运筹学与控制论]
  • 相关文献

参考文献12

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二级参考文献7

  • 1Hu T S, Lin Z L, Chen B M. Analysis and design for discrete-time linear systems subiect to actuator saturation[J]. Systems Control Letters, 2002, 45 (2): 97-112.
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共引文献1

同被引文献45

  • 1刘斌,刘新芝,廖晓昕.ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS[J].Acta Mathematica Scientia,2005,25(1):161-169. 被引量：3
  • 2黄剑,关治洪,王仲东.一类参数不确定脉冲系统的保成本控制研究[J].控制理论与应用,2006,23(6):971-975. 被引量：1
  • 3Naghshtabrizi P,Hespanha J P,Teel A R. Exponential stability of impulsive systems with application to uncertain sam- pied--data systems[J]. Systems and Control Letters,2008,57 (5):378-385.
  • 4Chen W H,Wang J G,Tang Y J,et al. Robust H, control of uncertain linear impulsive stochastic systems[J]. Int J Ro- bust Nonlinear Control, 2008,18 (13) : 1348 - 13711.
  • 5Chen W H,Wan g J G,Tang Y J,Lu X. Robust H∞ control of uncertain linear impulsive stochastic systems[J]. Int. J. Robust Nonlinear Control. ,2008,18(13):1348-13711.
  • 6Chen W H,Zheng W X. Robust stability and Hoo control of uncertain impulsive systems with time--delay[J]. Automat- ica,2009,45(1), 109- 117.
  • 7Naghshtabrizi P,Hespanha J P,Teel A R. Exponential stability impulsive systems with application to uncertain sampled --data systems[J]. Systems & Control Letters,2008,57(5) :378-385.
  • 8Hu T,Lin Z,Chen B M. An analysis and design method for linear systems subject to actuator saturation and disturb- ance[J]. Automatica, 2002,38 (2):351 - 359.
  • 9Hu T,Lin Z,Chen B M. Analysis and design for discrete--time linear systems subject to actuator saturation[J]. System Control Letters,2002,45(2) :97-112.
  • 10SONTAG E D, SUSSMANN H J. Nonlinear output feedback design for linear systems with saturatingcontrols[C]//Proc of the 29th Conf on Decision and Control. Honolulu, HI, USA: IEEEPress, 1990:3414-3416.

引证文献5

二级引证文献8

广西民族大学学报（自然科学版）
2011年 第1期

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