不确定离散脉冲系统的鲁棒<em>H</em><sub>∞</sub>滤波问题

潘圣韬; 孙继涛

不确定离散脉冲系统的鲁棒H_∞滤波问题

同济大学数学系,上海 200092

基金项目: 国家自然科学基金资助项目(60874027)

详细信息

作者简介:
潘圣韬(1981- ),男,江苏宜兴人,硕士;孙继涛(1963- ),教授(联系人.Tel:+86-21-65983240-1307:E-mail:sunjt@sh163.net).

中图分类号: O231.1
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- 被引次数: 0
出版历程
- 收稿日期: 2008-06-30
- 修回日期: 2008-12-01
- 刊出日期: 2009-02-15

Robust H_∞ Filtering for Discrete-Time Impulsive Systems With Uncertainty

Department of Mathematics, Tongji University, Shanghai 2H_∞92, P. R. China

摘要

摘要: 研究一类离散脉冲不确定系统的鲁棒H_∞滤波器设计问题．首先,介绍了脉冲线性滤波器与离散脉冲系统的鲁棒H_∞滤波问题．其次,基于离散Liapunov函数方法,给出了用线性矩阵不等式表达的滤波误差系统渐近稳定的充分条件与H_∞脉冲线性滤波器的设计方法．最后,给出数值例子说明结果的有效性．
- 离散 /
- 脉冲 /
- 鲁棒H_∞滤波 /
- 线性矩阵不等式
Abstract: Robust filter design for linear discrete-time impulsive systems with uncertainty under H_∞ performance is invested. Fust,an impulsive linear filter and robust H_∞ filtering problem were introduced for a discrete-time impulsive systems. Then, sufficient condition of asymptotical stability and H_∞ performance for the filteaing error system was provided by discrete-time Liapunov fiuiction method, and the filter gains can be obtained by solving a set of linear matrix inequalities (LMIs).Finally, a numerical example was also included to illustrate the effectiveness of the proposed result.
- discrete-time /
- impulses /
- robust H_∞ filtering /
- linear matrix inequalities

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参考文献(21)

[1]	Sun J T,Zhang Y P.Impulsive control of a nuclear spin generator[J].Journal of Computational and Applied Mathematics,2003,157(1):235-242. doi: 10.1016/S0377-0427(03)00454-0
[2]	Cui B T,Han M A,Yang H Z.Some sufficient conditions for oscillation of impulsive delay hyperbolic systems with Robin boundary conditions[J].Journal of Computational and Applied Mathematics,2005,180(2):365-375. doi: 10.1016/j.cam.2004.11.006
[3]	Guan Z H,Hill D J,Shen X M.On hybrid impulsive and switching systems and application to nonlinear control[J].IEEE Trans Automat Control,2005,50(7):1058-1062. doi: 10.1109/TAC.2005.851462
[4]	Wu H J,Sun J T.p-Moment stability of stochastic differential equations with impulsive jump and Markovian switching[J].Automatica,2006,42(10):1753-1759. doi: 10.1016/j.automatica.2006.05.009
[5]	Yang Z C,Xu D Y.Stability analysis and design of impulsive control systems with time delay[J].IEEE Trans Automat Control,2007,52(8):1448-1454. doi: 10.1109/TAC.2007.902748
[6]	Liu X Z,Shen X M,Zhang Y,et al.Stability criteria for impulsive systems with time delay and unstable system matrices[J].IEEE Trans Circuits and Systems I,2007,54(10):2288-2298. doi: 10.1109/TCSI.2007.904592
[7]	Ma Y,Sun J T.Stability criteria for impulsive systems on time scales[J].Journal of Computational and Applied Mathematics,2008,213(2):400-407. doi: 10.1016/j.cam.2007.01.040
[8]	Hao F,Wang L,Chu T G.Stability and dissipativeness of discrete impulsive systems[J].Dynamics of Continuous,Discrete and Impulsive Systems,Series A,Proceedings,2004,2：14-19.
[9]	Liu B,Marquez H J.Quasi-exponential input-to-state stability for discrete-time impulsive hybrid systems[J].International Journal of Control,2007,80(4):540-554. doi: 10.1080/00207170601161773
[10]	Geromel J C,de Oliveria M C,Bernussou J.Robust filtering of discrete-time linear systems with parameter dependent Lyapunov functions[J].SIAM J Control Optim,2002,41(3):700-711. doi: 10.1137/S0363012999366308
[11]	Xie L,Lu L,Zhang D,et al.Robust filtering for uncertain discrete-time systems:an improve LMI approach[A].In:the 42nd IEEE Conf Decision Control[C]. Maui,Hawaii,USA:IEEE，2003,906-911.
[12]	Duan Z S,Zhang J X,Zhang C S,et al.Robust H2 and H∞ filtering for uncertain linear systems[J].Automatica,2006,42(11):1919-1926. doi: 10.1016/j.automatica.2006.06.004
[13]	Souza C E,Barbosa K A,Neto A T.Robust filtering for discrete-time linear systems with uncertain time-varying parameters[J].IEEE Trans Signal Process,2006,54(6):2110-2118. doi: 10.1109/TSP.2006.874349
[14]	Zhang L X,Shi P,Wang C H,et al.Robust H∞ filtering for switched linear discrete-time systems with polytopic uncertainties[J].Internat J Adapt Control Signal Process,2006,20(6):291-304. doi: 10.1002/acs.901
[15]	Du D S,Jiang B,Shi P,et al.H∞ filtering of discrete-time switched systems with state delays via switched Lyapunov function approach[J].IEEE Trans Automat Control,2007,52(8):1520-1525. doi: 10.1109/TAC.2007.902777
[16]	Wang Z D,Lam J,Liu X H.Filtering for a class of nonlinear discrete-time stochastic systems with state delays[J].Journal of Computational and Applied Mathematics,2007,201(4):153-163. doi: 10.1016/j.cam.2006.02.009
[17]	Zhang H S,Xie L H,Duan G R.H∞ control of discrete-time systems with multiple input delays[J].IEEE Trans Automat Control,2007,52(2):271-283. doi: 10.1109/TAC.2006.890496
[18]	Abbaszadeh M,Marquez H J.Robust H∞ observer design for sampled-data Lipschitz nonlinear systems with exact and Euler approximate models[J].Automatica,2008,44(3):799-806. doi: 10.1016/j.automatica.2007.07.021
[19]	Liu Y R,Wang Z D,Liu X H.Robust H∞ filtering for discrete nonlinear stochastic systems with time-varying delay[J].J Math Anal Appl,2008,341(1):318-336. doi: 10.1016/j.jmaa.2007.10.019
[20]	Souza C E,Barbosa K A,Fu M Y.Robust filtering for uncertain linear discrete-time descriptor systems[J].Automatica,2008,44(3):792-798. doi: 10.1016/j.automatica.2007.07.006
[21]	Gahinet P,Nemirovski A,Laub A J,et al.LMI Control Toolbox[M].Natick,MA:The Math Works,Inc,1995.