New delay-dependent L2-L∞ filter design for stochastic time-delay systems

作者: Yun Chen , Anke Xue , Shaosheng Zhou

DOI: 10.1016/J.SIGPRO.2008.11.015

关键词: Exponential stabilityFilter (signal processing)Matrix methodWeightingControl theoryMathematicsSystems designFilter designLinear matrix inequalityPerturbation (astronomy)

摘要: This paper investigates delay-dependent L"2-L"~ performance analysis and filtering of stochastic systems with delays. Based on an auxiliary vector, integral inequality in the setting is introduced. The proposed reduces to some existing ones deterministic context, if there are no perturbations. By using this new free-weighting matrix technique, a simpler result fewer dimensions linear (LMI) variables presented. mathematical equivalence presented one established. A filter which guarantees asymptotic mean-square stability error system designed terms LMIs. Both model transformations estimation for cross avoided. Two illustrative examples given show effectiveness method.

参考文章(38)
Bernt Oksendal, Stochastic differential equations (3rd ed.): an introduction with applications Springer-Verlag New York, Inc.. ,(1992)
X. Jiang, Q.-L. Han, Delay-dependent H/sub /spl infin// filter design for linear systems with interval time-varying delay Iet Control Theory and Applications. ,vol. 1, pp. 1131- 1140 ,(2007) , 10.1049/IET-CTA:20060238
Huaizhong Li, Minyue Fu, A linear matrix inequality approach to robust H/sub /spl infin// filtering IEEE Transactions on Signal Processing. ,vol. 45, pp. 2338- 2350 ,(1997) , 10.1109/78.622956
Huijun Gao, Changhong Wang, Robust L/sub 2/-L/sub /spl infin// filtering for uncertain systems with multiple time-varying state delays IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 50, pp. 594- 599 ,(2003) , 10.1109/TCSI.2003.809816
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Shyh-Feng Chen, I-Kong Fong, Delay-dependent robust H∞ filtering for uncertain 2-D state-delayed systems Signal Processing. ,vol. 87, pp. 2659- 2672 ,(2007) , 10.1016/J.SIGPRO.2007.04.015
Shengyuan Xu, J. Lam, Yun Zou, H/sub /spl infin// filtering for singular systems IEEE Transactions on Automatic Control. ,vol. 48, pp. 2217- 2222 ,(2003) , 10.1109/TAC.2003.820149